Energy dissipation structure analysis method, system and computing device based on reaction spectrum iteration

Abstract

This invention belongs to the field of vibration reduction technology, providing a method, system, and computing device for energy dissipation structure analysis based on response spectrum iteration. The method includes: establishing a non-energy dissipation model and obtaining response parameters through response spectrum analysis; determining the expected additional damping ratio based on seismic performance targets; obtaining viscous energy dissipator parameters; implanting the viscous energy dissipator to obtain a vibration reduction structure model and obtaining energy dissipation response parameters through response spectrum analysis; constructing a restoring force model; mapping the viscous energy dissipator to a displacement-type energy dissipator based on the principles of energy dissipation equivalence and geometric similarity of the restoring force model; constructing a displacement-type energy dissipator vibration reduction structure model and obtaining the initial additional damping ratio through response spectrum analysis; updating the total damping ratio to update the additional damping ratio; determining whether the tolerance of the updated damping ratio is less than the tolerance threshold; if not less, using the updated damping ratio as the initial damping ratio for iteration; if less, determining whether the updated additional damping ratio is not less than the expected additional damping ratio; if less, re-obtaining the viscous energy dissipator parameters. This invention balances computational efficiency and accuracy.

Description

Technical Field

[0001] This invention relates to the field of vibration reduction technology, and in particular to a method, system and computing device for energy dissipation structure analysis based on response spectrum iteration. Background Technology

[0002] With the increasing demands for seismic design of building structures, viscous energy dissipators, as a mainstream energy dissipation and vibration reduction device, have been widely used in various new buildings and the reinforcement projects of existing buildings due to their excellent energy dissipation capacity and effective control over structural dynamic response. In the design of energy dissipation and vibration reduction structures using viscous energy dissipators, accurately calculating their response under seismic loading is crucial to ensuring structural safety and design rationality.

[0003] Currently, two main methods are used for seismic response analysis of energy dissipation and damping structures employing viscous energy dissipators: time history analysis and response spectrum analysis. However, both methods have certain limitations in practical applications.

[0004] In time-history analysis, the selection of seismic waves has a significant impact on the calculation results. Even if the selected seismic waves meet the response spectrum matching requirements specified in the code, the large differences in spectral characteristics, duration, and peak intensity among different seismic waves lead to significant dispersion in key indicators such as inter-story displacement and shear force. This dispersion introduces uncertainty into the designers' judgments, affecting the stability and reliability of the design scheme. Existing wave selection methods struggle to fundamentally eliminate this problem.

[0005] On the other hand, while the response spectrum method boasts advantages such as high computational efficiency and ease of operation, making it suitable for conventional engineering design, its theoretical foundation, based on the assumption of a linear system, cannot accurately reflect the nonlinear mechanical behavior of viscous energy dissipators. Specifically, the damping force of a viscous energy dissipator exhibits a nonlinear relationship with relative velocity, and the response spectrum method cannot reflect this velocity-related energy dissipation mechanism. Especially under strong earthquakes, the actual operating state of the energy dissipator deviates significantly from the linear model, resulting in substantial errors in the equivalent damping ratio, inter-story drift angle, and base shear force calculated using the response spectrum method. Engineering design typically still requires the use of time history analysis to obtain the equivalent damping ratio, a cumbersome calculation process.

[0006] Currently, most research on improvements to the response spectrum method focuses on optimizing the calculation formula for the additional damping ratio, but it has not yet achieved mechanical coupling modeling between the viscous energy dissipator and the main structure at the level of the restoring force model. Therefore, existing methods fail to fundamentally resolve the compatibility contradiction between the nonlinear characteristics of the viscous energy dissipator and linear calculation methods, limiting the applicability and accuracy of the response spectrum method in the design of high-performance energy dissipation and vibration reduction structures.

[0007] In summary, there is an urgent need for an analytical method that can balance computational efficiency and accuracy, based on iterative analysis of response spectrum for vibration-damping structural models with added viscous energy dissipators. Summary of the Invention

[0008] This invention provides a method, system, and computing device for energy dissipation structure analysis based on reaction spectrum iteration, in order to solve the technical problems in the prior art.

[0009] According to one aspect of the present invention, a method for energy dissipation structure analysis based on reaction spectrum iteration is provided, comprising: Non-energy dissipation structure analysis steps: Establish a non-energy dissipation structure model and perform response spectrum analysis to obtain the non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action. The non-energy dissipation response parameters include one or more of the following: inter-story displacement, base shear force, natural period, and mode shape parameters. The expected additional damping ratio determination steps are as follows: Based on the non-energy dissipation response parameters and their corresponding seismic performance targets, the expected additional damping ratio of the energy dissipation and damping structure is determined. The seismic performance targets include the inter-story drift angle limit and / or the base shear force reduction ratio. Steps for obtaining viscous energy dissipator setting parameters: Based on the structural plan layout, vertical stiffness distribution, and expected additional damping ratio of the energy dissipation and vibration reduction structure, the setting parameters of the viscous energy dissipator are initially determined. The setting parameters include the model, quantity, and installation location of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. Steps for obtaining viscous energy dissipation response parameters: Based on the setting parameters of the viscous energy dissipators, each viscous energy dissipator is implanted into the non-energy dissipation structure model to form a viscous damping structure model. Response spectrum analysis is performed on the viscous damping structure model to obtain viscous energy dissipation response parameters. The viscous energy dissipation response parameters include the natural vibration period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. Steps for constructing the restoring force model: Construct a restoring force model for the viscous energy dissipation device based on the viscous energy dissipation response parameters; Equivalent mapping steps: Based on the restoring force model of the viscous energy dissipator, according to the principle of energy consumption equivalence and geometric feature similarity of the restoring force model, the viscous energy dissipator is equivalently mapped to a displacement type energy dissipator; Steps for obtaining the initial additional damping ratio of the displacement-type damping structure: Replace the viscous energy dissipator in the damping structure model with a displacement-type energy dissipator to form a displacement-type damping structure model, and obtain the initial additional damping ratio of the displacement-type damping structure model by response spectrum analysis. Update steps: Update the total damping ratio of the displacement damping structure model based on the initial additional damping ratio of the displacement damping structure model, and perform response spectrum analysis on the updated displacement damping structure model to obtain the updated additional damping ratio. Judgment steps: Determine whether the tolerance of the updated additional damping ratio relative to the initial additional damping ratio of the displacement-type damping structure model is less than the set tolerance threshold. If the tolerance is not less than the set tolerance threshold, the updated additional damping ratio is returned to the update step as the initial additional damping ratio, and the iteration continues. If the tolerance is less than the set tolerance threshold, determine whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio. If the updated additional damping ratio is less than the expected additional damping ratio, return to the viscous energy dissipator setting parameter acquisition step; If the updated additional damping ratio is not less than the expected additional damping ratio, then the additional damping ratio and the corresponding setting parameters of the viscous energy dissipator are output.

[0010] This invention constructs a restoring force model of a viscous energy dissipator and maps it to a displacement-type energy dissipator based on the principles of energy dissipation equivalence and geometric similarity of the restoring force model. Combined with the response spectrum method for iterative calculation, it not only avoids the high discreteness and low efficiency of time history analysis, but also overcomes the limitations of the traditional response spectrum method in nonlinear simulation. Thus, while ensuring computational efficiency, it significantly improves the analysis accuracy, achieving accurate, stable, and efficient evaluation of the seismic response of energy dissipation and vibration reduction structures. It has outstanding substantial progress and significant technical advantages.

[0011] In one possible implementation, the step of determining the expected additional damping ratio includes: Steps for determining seismic performance targets: Determine the seismic performance targets of the energy dissipation and vibration reduction structure based on one or more of the following: structural type, seismic fortification intensity, service function, and code requirements; Additional damping ratio prediction step: Based on the comparison between the non-energy dissipation response parameters and the seismic performance target, adjust the total damping of the energy dissipation and damping structure to determine the expected additional damping ratio required for the energy dissipation and damping structure.

[0012] This invention fundamentally solves the technical problem in existing technologies where the additional damping ratio lacks scientific basis and relies on empirical estimation, leading to design results deviating from performance targets, by establishing a quantitative mapping mechanism between "non-energy dissipation response parameters" and "seismic performance targets." This invention utilizes the baseline response of non-energy dissipation structures under target earthquakes (such as inter-story displacement and base shear) as a reference, combined with performance targets determined by structural type, seismic intensity, and code requirements (such as inter-story drift angle limits). By adjusting the total damping ratio in reverse, it accurately solves for the expected additional damping ratio required to meet the target, thus realizing a shift from "passive verification" to "active design." This invention has significant beneficial effects, not only ensuring that energy dissipation and vibration reduction design schemes can accurately anchor seismic performance targets in the initial stage, avoiding design conservatism or safety hazards caused by improper damping ratio values, but also significantly reducing the computational load and trial-and-error costs of subsequent iterative adjustments, significantly improving the scientific nature, accuracy, and engineering efficiency of energy dissipation and vibration reduction structure design.

[0013] In one possible implementation, the additional damping ratio expected step includes: The target reduction factor is determined based on non-energy dissipation response parameters and seismic performance indicators; Set the initial value for the total damping ratio; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the response parameters of the energy-dissipating and vibration-damping structure; The current reduction factor is obtained based on the response parameters of the energy dissipation and damping structure relative to the non-energy dissipation response parameters of the non-energy dissipation and damping structure. Determine whether the deviation of the current reduction factor from the target reduction factor is within the set deviation range; If the deviation is not within the deviation range, and the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of the total damping ratio and increase the initial value of the total damping ratio; if the current reduction factor is less than the target reduction factor, return to the step of setting the initial value of the total damping ratio and decrease the initial value of the total damping ratio. If the deviation is within the deviation range, the expected additional damping ratio is obtained by using the total damping ratio and the damping ratio of the non-energy-dissipating structure that satisfy the deviation being within the deviation range.

[0014] This invention precisely solves the technical problem in existing technologies where the additional damping ratio relies on empirical estimation and lacks quantitative basis, leading to design results that are difficult to match seismic performance targets, by constructing a two-way feedback iterative mechanism based on the "target reduction coefficient". This invention uses the response of the non-energy-dissipating structure as a benchmark. By setting an initial value for the total damping ratio and calculating the current reduction coefficient, it compares it with the target reduction coefficient in real time. If the deviation exceeds the set range, the total damping ratio is dynamically adjusted according to the direction of the deviation (increasing the damping ratio when the current coefficient is too large and decreasing it when it is too small) until the deviation converges to the allowable range. Finally, the expected additional damping ratio is obtained by back-calculating the total damping ratio that meets the deviation requirements and the damping ratio of the non-energy-dissipating structure. This invention not only ensures a high degree of fit between the additional damping ratio value and the seismic performance target through closed-loop iteration, avoiding the problems of conservative or insufficient design, but also simplifies the calculation process through unidirectional parameter adjustment (modifying only the total damping ratio while keeping the model unchanged), significantly reducing trial-and-error costs and significantly improving the accuracy, controllability, and engineering practicality of energy-dissipating and vibration-damping structure design.

[0015] In one possible implementation, the additional damping ratio expected step includes: The target reduction factor is obtained based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle; The current reduction factor is obtained based on the current maximum inter-story drift angle of the energy dissipation and damping structure relative to the maximum inter-story drift angle of the non-energy dissipation and damping structure. Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained. The expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

[0016] This invention precisely solves the technical problem in existing technologies where the additional damping ratio relies on subjective experience and lacks quantitative basis, making it difficult to accurately match the seismic performance target with the design results. It constructs a closed-loop iterative feedback mechanism with "inter-story drift angle" as the core control index. This invention determines the target reduction coefficient based on the maximum inter-story drift angle of the non-energy-dissipating structure and the code limit. By keeping the model unchanged and only adjusting the total damping ratio to recalculate the response spectrum, it obtains the current maximum inter-story drift angle in real time and calculates the current reduction coefficient. Based on the magnitude and direction of the deviation between the current coefficient and the target coefficient, it dynamically adjusts the initial value of the total damping ratio. (Increase the damping ratio when the coefficient is too large, and decrease the damping ratio when the deviation exceeds the limit and the coefficient is too small) until the deviation converges to the threshold range. Finally, the expected additional damping ratio is calculated based on the converged total damping ratio. This invention not only ensures that the energy dissipation and vibration reduction design is directly anchored to the seismic performance target by accurately controlling the key indicator of inter-story drift angle, avoiding the waste of resources caused by conservative design or the safety hazards caused by insufficient design, but also simplifies the calculation process by using the iterative method of unidirectional parameter adjustment, greatly reducing the trial and error cost, and significantly improving the accuracy, controllability and engineering practicality of energy dissipation and vibration reduction structure design.

[0017] In one possible implementation, the additional damping ratio expected step includes: The target reduction factor is obtained based on the reduction ratio of base shear force in the seismic performance target: Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current base shear force; The current reduction factor is obtained based on the current base shear force and the base shear force of the non-energy dissipation structure. Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained. The expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

[0018] This invention precisely solves the technical problem in existing technologies where the additional damping ratio relies on empirical estimation and lacks quantitative basis, leading to design results that are difficult to match the base shear control target, by constructing a closed-loop iterative feedback mechanism with "base shear reduction ratio" as the core control index. This invention determines the target reduction coefficient based on the base shear reduction ratio in the seismic performance target, recalculates the response spectrum by adjusting only the total damping ratio while keeping the non-energy-dissipating structure model unchanged, obtains the current base shear in real time and calculates the current reduction coefficient, and dynamically adjusts the initial value of the total damping ratio based on the magnitude and direction of the deviation between the current coefficient and the target coefficient (when the coefficient is too large). The damping ratio is increased (and decreased when the deviation exceeds the limit and the coefficient is too small) until the deviation converges to the threshold range. Finally, the expected additional damping ratio is calculated based on the converged total damping ratio. This invention not only ensures that the seismic performance target of reducing base shear is directly anchored to the reduction of base shear in the energy dissipation and vibration reduction design by accurately controlling the key indicator of base shear, avoiding the failure of structural base shear control or design redundancy caused by improper damping ratio values, but also simplifies the calculation process by using an iterative method of unidirectional parameter adjustment, greatly reducing the trial and error cost and significantly improving the accuracy, controllability and engineering practicality of the base shear control design of energy dissipation and vibration reduction structures.

[0019] In one possible implementation, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. The smaller value between the target displacement reduction factor and the target shear force reduction factor is selected as the target reduction factor, and the maximum inter-story drift angle or base shear force corresponding to the target reduction factor is selected as the target parameter. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current value of the target parameter; Calculate the current displacement reduction factor and the current shear force reduction factor based on the current maximum inter-story drift angle and the current base shear force, respectively. The current reduction factor is obtained based on the current value of the target parameter and the value of the target parameter of the non-energy-dissipating structure; Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained. The expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

[0020] This invention precisely solves the technical problem in existing technologies where the additional damping ratio depends on a single index and lacks multi-objective collaborative control, making it difficult to simultaneously meet the dual performance requirements of inter-story displacement and base shear force. This is achieved by constructing a closed-loop iterative feedback mechanism based on "displacement and shear force dual index control." The invention determines the target displacement reduction coefficient based on the maximum inter-story displacement angle and limit of the non-energy-dissipating structure, and the target shear force reduction coefficient based on the base shear force reduction ratio. The smaller of the two values ​​is selected as the final target reduction coefficient to ensure dual performance constraints. By keeping the model unchanged and only adjusting the total damping ratio, the response spectrum is recalculated. The current values ​​of the target parameters are obtained in real time, and the current reduction coefficient is calculated. Based on the current coefficient and the target... The initial value of the total damping ratio is dynamically adjusted based on the magnitude and direction of the coefficient deviation (increasing the damping ratio when the coefficient is too large, and decreasing the damping ratio when the deviation exceeds the limit and the coefficient is too small) until the deviation converges to the threshold range. Finally, the expected additional damping ratio is calculated based on the converged total damping ratio. This invention ensures that the energy dissipation and vibration reduction design simultaneously meets the seismic performance targets of inter-story drift angle and base shear force through dual-index coordinated control, avoiding the problems of structural deformation exceeding the limit or base shear force control failure caused by single index control. Furthermore, it simplifies the calculation process by selecting the minimum target reduction coefficient and using unidirectional parameter iteration, which greatly reduces the trial and error cost and significantly improves the accuracy, safety, and engineering practicality of multi-objective design of energy dissipation and vibration reduction structures.

[0021] In one possible implementation, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle and the current base shear force; Calculate the current displacement reduction factor and the current shear force reduction factor using the current maximum inter-story drift angle and the current base shear force, respectively. Determine whether the current displacement reduction factor is not greater than the target displacement reduction factor and whether the current shear force reduction factor is not greater than the target shear force reduction factor: If the current displacement reduction factor is greater than the target displacement reduction factor and / or the current shear force reduction factor is greater than the target shear force reduction factor, then return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current displacement reduction factor is not greater than the target displacement reduction factor and the current shear force reduction factor is not greater than the target shear force reduction factor, the expected total damping ratio is obtained. The expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

[0022] This invention precisely solves the technical problem in existing technologies where the additional damping ratio depends on a single index control and lacks multi-objective collaborative constraints, making it difficult to simultaneously meet the dual performance requirements of inter-story drift and base shear force. This is achieved by constructing a closed-loop iterative feedback mechanism based on "independent constraints of displacement and shear force." The invention determines the target displacement reduction coefficient based on the maximum inter-story drift angle and its limit for non-energy-dissipating structures, and the target shear force reduction coefficient based on the base shear force reduction ratio. By keeping the model unchanged and only adjusting the total damping ratio for response spectrum recalculation, the current maximum inter-story drift angle and base shear force are obtained in real time, and the corresponding current reduction coefficients are calculated accordingly. This is based on the "displacement and shear force reduction coefficients." The total damping ratio is dynamically adjusted based on the criterion that "neither coefficient is greater than the target value" (the damping ratio is increased if any coefficient exceeds the target, and the iteration terminates when both coefficients meet the target). Finally, the expected additional damping ratio is calculated back based on the total damping ratio that meets the dual constraints. This invention has significant beneficial effects. It ensures that the energy dissipation and vibration reduction design meets the seismic performance targets of inter-story drift angle and base shear force through independent constraints of dual indicators, avoiding the problem of structural deformation exceeding the limit or base shear force control failure caused by single indicator control. Furthermore, the iteration logic of "terminating when both targets are met" simplifies the calculation process, greatly reduces the trial and error cost, and significantly improves the accuracy, safety, and engineering practicality of multi-objective design of energy dissipation and vibration reduction structures.

[0023] In one possible implementation, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle and the current base shear force; Calculate the current displacement reduction factor and the current shear force reduction factor using the current maximum inter-story drift angle and the current base shear force, respectively. Determine whether the maximum value of the displacement ratio of the current displacement reduction coefficient relative to the target displacement reduction coefficient and the shear ratio of the current shear force reduction coefficient relative to the target shear force reduction coefficient is not greater than 1; If the maximum value is greater than 1, return to the step of setting the initial value of the total damping and increase the initial value of the total damping; If the maximum value is not greater than 1, the expected total damping ratio is obtained, and the expected additional damping ratio is obtained using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

[0024] This invention precisely solves the technical problem in existing technologies where the additional damping ratio lacks multi-objective collaborative quantitative basis and it is difficult to simultaneously ensure that both structural deformation and internal force performance indicators meet requirements by constructing a closed-loop iterative feedback mechanism based on the "relative margin of displacement and shear force dual indicators". This invention determines the target displacement reduction coefficient based on the maximum inter-story drift angle and limit of the non-energy-dissipating structure, and the target shear force reduction coefficient based on the base shear force reduction ratio. By keeping the model unchanged and only adjusting the total damping ratio to recalculate the response spectrum, the current displacement and shear force reduction coefficients are obtained in real time. Furthermore, it utilizes the principle that "the maximum value of the ratio of the current coefficient to the target coefficient is not greater than 1". A criterion (i.e., the maximum relative margin criterion) is used to dynamically adjust the total damping ratio (a maximum value greater than 1 indicates that at least one indicator exceeds the limit and the damping ratio needs to be increased; a maximum value not greater than 1 indicates that both indicators meet the standard). This invention achieves synchronous quantitative control of both displacement and shear force performance indicators through a unified criterion, ensuring that the energy dissipation and vibration reduction design simultaneously meets the seismic performance targets of inter-story drift angle and base shear force, avoiding design deviations that may be caused by single indicator control or independent judgment. Furthermore, the "maximum relative margin" logic simplifies the iteration termination condition, significantly improving computational efficiency and design accuracy, and significantly enhancing the safety and engineering practicality of multi-objective seismic design.

[0025] In one possible implementation, the step of obtaining the viscous energy dissipator setting parameters includes: The total energy required by all viscous energy dissipators in one vibration cycle is obtained based on the non-energy dissipation response parameters and the expected additional damping of the energy dissipation and damping structure. Based on the total energy demand, and combined with the vertical stiffness distribution and planar layout of the non-energy-dissipating structure, the total energy is distributed to each layer to obtain the energy required by each layer. The target energy consumption of the viscous energy dissipator is obtained based on the preset number of viscous energy dissipators. Based on the target energy dissipation and natural vibration period of a single viscous energy dissipator, the damping coefficient required to meet the target energy dissipation is obtained, thereby obtaining the model of the viscous energy dissipator. The maximum output of the viscous energy dissipator is obtained based on the damping coefficient of the viscous energy dissipator and the estimated maximum velocity. Compare the maximum output of the viscous energy dissipator with the nodal bearing capacity of the non-energy dissipation structure: If the node's load-bearing capacity limit is exceeded, adjust the number of nodes or their installation locations, return to the steps for obtaining the energy required for each floor, and redistribute the total energy. If the bearing capacity limit of the node is not exceeded, the placement location of the viscous energy dissipator is obtained.

[0026] In one possible implementation, the step of obtaining the viscous energy dissipation response parameters includes: Based on the parameters of the viscous energy dissipator, the equivalent linear connection unit corresponding to the viscous energy dissipator is implanted into the non-energy dissipation structure model to construct a viscous damping structure model. Modal decomposition response spectrum analysis was performed on the viscous damping structure model to obtain the viscous energy dissipation response parameters corresponding to the maximum displacement response.

[0027] This invention precisely solves the technical problems of existing technologies where the selection of viscous energy dissipators relies on empirical trial and error, lacks quantitative basis, and is prone to design failure or repeated rework due to neglecting the load-bearing capacity limitations of the main structure nodes. It constructs a closed-loop design mechanism based on "dual constraints of energy distribution and node bearing capacity." First, this invention calculates the total energy consumption demand of the energy dissipator based on the expected additional damping ratio. Then, it scientifically distributes the total energy to each floor based on the structural stiffness distribution and planar layout. Based on a preset quantity, it determines the single-target energy consumption and calculates the damping coefficient to initially determine the model. Next, it calculates the maximum output and compares it with the node bearing capacity. If the limit is exceeded, it dynamically adjusts the quantity or location of the energy dissipator and redistributes the energy, forming an "energy distribution—parameter back-calculation—bearing capacity verification" process. —A closed-loop process of "optimization and adjustment" is adopted. At the same time, in the response analysis stage, a viscous damping model is constructed by implanting equivalent linear connection units and modal decomposition response spectrum analysis is performed to ensure the accuracy and efficiency of response parameter calculation. This invention not only realizes the precise quantitative design of energy dissipator parameters through the energy distribution method, avoiding the blindness of traditional experience-based selection, but also ensures the matching of the design scheme with the bearing capacity of the main structure through the nodal bearing capacity verification mechanism, effectively avoiding the risk of design failure or engineering rework due to insufficient nodal bearing capacity. At the same time, combined with the response spectrum analysis method of equivalent linear connection units, the scientificity, feasibility and engineering practicality of viscous energy dissipation and damping structure design are greatly improved, and the design cost and trial and error cycle are significantly reduced.

[0028] In one possible implementation, the restoring force model construction step includes: Using the natural period and maximum displacement response, the maximum relative velocity of the viscous energy dissipator under the design earthquake is calculated based on simple harmonic motion. By combining the preset velocity index and the energy demand corresponding to the expected additional damping ratio, the damping coefficient required for each layer of viscous energy dissipator is calculated. After determining the damping coefficient and the maximum relative velocity, the power-law constitutive equation of the viscous energy dissipator is directly substituted into the equation to calculate the maximum instantaneous damping force that each layer of the viscous energy dissipator may generate under the design conditions. Based on the maximum output of the viscous energy dissipator, a time-varying restoring force model is established. Combined with the maximum displacement response, the mapping relationship between output and displacement is obtained by eliminating the time variable, and a hysteresis curve is generated.

[0029] This invention precisely solves the technical problem in existing technologies where the construction of restoring force models for viscous energy dissipators relies on empirical simplification and lacks an accurate description of the actual mechanical behavior under design conditions, leading to deviations in hysteresis performance predictions, by constructing an "analytical modeling based on physical constitutive and time-varying characteristics" mechanism. This invention first calculates the maximum relative velocity of the energy dissipator under the design earthquake using the natural period and maximum displacement response based on simple harmonic motion theory. Then, it calculates the required damping coefficients for each layer by combining a preset velocity exponent and energy demand. Next, it substitutes these values ​​into the power-law constitutive equation to calculate the maximum instantaneous damping force. Finally, it establishes a time-varying restoring force model based on the maximum output force and generates the hysteresis curve by eliminating the time variable to obtain the force-displacement mapping relationship. This invention achieves accurate analytical modeling from design parameters to restoring force model by combining the simple harmonic motion assumption with constitutive equations, ensuring consistency between the model and actual working conditions. Furthermore, by directly obtaining hysteresis curves, it reveals the stiffness, strength, and energy dissipation characteristics of the energy dissipator under seismic reciprocating action, avoiding prediction distortion caused by traditional simplified models. This significantly improves the accuracy and reliability of nonlinear seismic response analysis of viscous energy dissipation and damping structures, providing solid theoretical support for high-performance damping design.

[0030] In one possible implementation, the equivalent mapping step includes: The energy consumed by the viscous energy dissipator in one vibration cycle is analyzed using the restoring force model and the maximum displacement response of the viscous energy dissipator. By setting the maximum displacement of the displacement-type energy dissipator equal to the maximum displacement of the viscous energy dissipator, a functional relationship is established between the single-cycle energy consumption of the displacement-type energy dissipator and its equivalent yield force, thus obtaining the energy consumed by the displacement-type energy dissipator in one vibration cycle. Based on the principle of similarity in geometric characteristics of energy dissipation equivalence and restoring force model, the energy dissipation of viscous energy dissipator is the same as that of displacement energy dissipator, thus obtaining the energy balance equation, thereby obtaining the equivalent yield force, and using Hooke's law to obtain the equivalent elastic stiffness.

[0031] This invention precisely solves the technical problem in existing technologies where viscous energy dissipators (velocity-dependent type) are difficult to directly participate in displacement-based response spectrum iterative calculations, and traditional linearization methods cannot accurately reflect their nonlinear energy dissipation characteristics, by constructing a mechanism based on the principle of "equivalent mapping of velocity-displacement type energy dissipators based on the principle of geometric similarity of energy dissipation equivalence and restoring force models." This invention utilizes the restoring force model and maximum displacement response to calculate the single-cycle energy dissipation of the viscous energy dissipator. By setting the maximum displacement of the equivalent displacement type energy dissipator to be consistent with that of the viscous energy dissipator, a functional relationship between its single-cycle energy dissipation and equivalent yield force is established. Furthermore, based on the principle of energy dissipation equivalence and restoring force model, the invention calculates the single-cycle energy dissipation of the viscous energy dissipator. The invention constructs an energy balance equation based on the principle of geometric similarity of the force model to solve for the equivalent yield force, and combines Hooke's law to calculate the equivalent elastic stiffness, thereby transforming nonlinear velocity-dependent energy dissipation into calculable displacement-dependent parameters. This invention achieves accurate parameter conversion between energy dissipators with different energy dissipation mechanisms through energy conservation, ensuring that the nonlinear energy dissipation contribution of viscous energy dissipators can be accurately included in the iterative analysis of the response spectrum. Furthermore, the explicit expression of equivalent stiffness and yield force simplifies the calculation process, avoids complex time history analysis, and significantly improves the accuracy, computational efficiency, and engineering practicality of seismic performance evaluation of energy dissipation and vibration reduction structures.

[0032] In one possible implementation, the step of obtaining the initial additional damping ratio of the displacement-type damping structure includes: By utilizing the equivalent yield force and equivalent elastic stiffness corresponding to each displacement-type energy dissipator, the viscous energy dissipator in the viscous damping structure is replaced with a displacement-type energy dissipator having equivalent yield force and equivalent elastic stiffness, thus obtaining a displacement-type damping structure model. The modal decomposition response spectrum method is used to analyze the displacement-type vibration reduction structure model. By solving the eigenvalue problem, the natural period and mode shape of the structure are obtained. Then, combined with the seismic influence coefficient curve, the response quantities under each mode shape are calculated. The response quantities include inter-story displacement and component internal forces. The energy dissipation of each displacement-type energy dissipator in one vibration cycle and the total strain energy of the displacement-type damping structure under seismic loading are obtained by using inter-story displacement and internal forces of components, respectively. The initial additional damping ratio is obtained based on the energy dissipation of each displacement-type energy dissipator and the total strain energy.

[0033] This invention precisely solves the technical problem in existing technologies where the initial additional damping ratio of displacement-type damping structures relies on empirical estimation and lacks quantitative basis related to the actual structural response, leading to design results that are difficult to match actual performance requirements, by constructing a quantitative calculation mechanism based on equivalent parameter replacement and modal decomposition response spectrum analysis. This invention replaces the energy dissipator in a viscous damping structure with a displacement-type energy dissipator using equivalent yield force and equivalent elastic stiffness, constructs a displacement-type damping structure model, and obtains response quantities such as natural period, mode shape, inter-story displacement, and component internal forces through modal decomposition response spectrum analysis. Then, based on the inter-story displacement, it calculates the individual energy dissipator. This invention utilizes single-cycle energy dissipation and calculates the total strain energy of the structure based on the internal forces of the components. Finally, it quantitatively solves for the initial additional damping ratio by the ratio of energy dissipation to total strain energy. This invention achieves accurate model conversion from viscous to displacement damping structures through equivalent parameter substitution, ensuring consistency between the model and actual working conditions. Furthermore, by combining modal decomposition response spectrum method with energy calculation, it directly correlates the additional damping ratio with the actual structural response, avoiding the blindness and bias of traditional empirical estimation. This significantly improves the accuracy, reliability, and engineering practicality of calculating the initial additional damping ratio of displacement damping structures, providing a scientific parameter basis for subsequent damping design.

[0034] In one possible implementation, the restoring force model construction step includes: Construct a restoring force model for a viscous energy dissipator; Obtain the hysteresis curve of the viscous energy dissipator.

[0035] This invention employs a progressive logic of "constructing a restoring force model for a viscous energy dissipator—obtaining the hysteresis curve of the viscous energy dissipator." First, based on the physical characteristics of the viscous energy dissipator (such as damping coefficient and velocity exponent) and design parameters (such as maximum displacement and maximum velocity), a restoring force model reflecting its force-velocity nonlinear relationship is constructed, providing a constitutive basis for mechanical behavior analysis. Then, by eliminating the time variable and combining the restoring force model with the displacement response, a direct mapping relationship between output force and displacement is established, generating a hysteresis curve that intuitively presents the energy dissipation process and energy dissipation capacity of the energy dissipator under cyclic loading. This invention achieves a precise mathematical description of the nonlinear characteristics of the viscous energy dissipator through the restoring force model, avoiding the errors of traditional linear simplification models. Furthermore, the hysteresis curve intuitively quantifies the energy dissipation efficiency of the energy dissipator (such as hysteresis loop fullness), providing a high-precision model foundation for subsequent parameter optimization, energy equivalent conversion, and nonlinear analysis of the damping structure, significantly improving the scientific rigor and reliability of damping design.

[0036] In one possible implementation, the equivalent mapping step includes: Equivalent mapping between viscous energy dissipators and displacement energy dissipators is achieved based on the principle of similar geometric features of energy dissipation equivalence and restoring force model.

[0037] This invention solves the technical problem in the prior art where viscous energy dissipators (velocity-dependent) and displacement-dependent energy dissipators (displacement-dependent) are difficult to accurately replace due to their different physical mechanisms (nonlinear damping force and elastoplastic restoring force), leading to deviations in the overall energy dissipation capacity and mechanical response characteristics of the replaced structure. This is achieved through the dual constraints of "energy dissipation equivalence" and "similar geometric characteristics of the restoring force model." First, based on the "energy dissipation equivalence" principle, it ensures that the energy dissipation (hysteresis loop area) of the displacement-dependent energy dissipator within one vibration cycle is completely consistent with that of the viscous energy dissipator, locking in an equivalent benchmark from an energy perspective. Second, based on the "similar geometric characteristics of the restoring force model" principle, it ensures that the restoring force model (e.g., a bilinear model) of the displacement-dependent energy dissipator maintains similarity in geometric shape (e.g., yield point coordinates, stiffness slope, maximum output point) to the equivalent restoring force model of the viscous energy dissipator, ensuring consistency in response characteristics from a mechanical behavior perspective. The two principles work synergistically to achieve accurate parameter conversion from velocity-dependent to displacement-dependent types. This invention eliminates the differences in physical mechanisms between different types of energy dissipators through dual verification of energy and geometric characteristics. It ensures that the overall energy dissipation capacity, inter-story displacement response, and base shear force distribution of the structure after equivalent replacement are highly matched with the original design. This avoids the mechanical response distortion caused by traditional single energy equivalence and provides a high-precision model basis for subsequent response spectrum analysis and iterative optimization based on displacement-type energy dissipators. It significantly improves the coherence, accuracy, and engineering practicality of vibration reduction structure design.

[0038] In one possible implementation, the equivalent mapping step includes: The maximum displacement of the displacement-type energy dissipator is obtained based on the fact that the maximum displacement of the displacement-type energy dissipator is equal to that of the viscous energy dissipator. Based on the proportional relationship between the displacement of the displacement energy dissipator and the maximum displacement of the viscous energy dissipator, as well as the proportional relationship between the output force of the displacement energy dissipator and the maximum output force of the viscous energy dissipator, the displacement and output force of the displacement energy dissipator are constructed, thereby constructing the energy consumption of the displacement energy dissipator. Based on the fact that the energy consumption of the displacement-type energy dissipator is equal to that of the viscous energy dissipator, a proportional relationship is obtained, thereby obtaining the restoring force model of the displacement-type energy dissipator.

[0039] This invention solves the technical problem in existing technologies where the different physical mechanisms of viscous energy dissipators (velocity-dependent) and displacement-dependent energy dissipators (displacement-dependent) make it difficult to accurately establish the mapping relationship between displacement and output, leading to distortion of energy dissipation characteristics after equivalent replacement. First, the maximum displacement of the viscous energy dissipator is determined as a benchmark to ensure deformation coordination between the two. Then, based on the proportional relationship between displacement and output, the displacement-output function of the displacement-dependent energy dissipator is constructed, and its single-cycle energy dissipation expression is derived. Finally, based on the principle of "equal energy dissipation," the energy dissipation of the displacement-dependent energy dissipator is made equal to that of the viscous energy dissipator, the proportional relationship is solved, and the restoring force model parameters (such as equivalent yield force and equivalent stiffness) of the displacement-dependent energy dissipator are finally determined. This invention ensures deformation consistency by maintaining the maximum displacement and achieves precise parameter conversion from velocity-dependent to displacement-dependent parameters through the dual constraints of proportional relationship and energy consumption equality. This avoids the empirical errors of traditional equivalent methods and provides a high-precision displacement-type energy dissipator model for subsequent response spectrum analysis and iterative optimization of vibration reduction structures, significantly improving the scientific nature and reliability of the design.

[0040] According to a second aspect of the present invention, a system for analyzing energy dissipation structures based on reaction spectrum iteration is provided, comprising a structural model construction unit, a reaction spectrum analysis unit, a unit for obtaining the expected additional damping ratio, a unit for obtaining viscous energy dissipator setting parameters, a restoring force model construction unit, a mapping unit, a total damping ratio update unit, a judgment unit, and an output unit. The structural model construction unit is configured to build a non-energy dissipation structural model; based on the viscous energy dissipator setting parameters obtained by the viscous energy dissipator setting parameter acquisition unit, the viscous energy dissipator is implanted into the non-energy dissipation structural model to construct a viscous damping structural model; based on the displacement energy dissipator obtained by the mapping unit, the viscous energy dissipator in the damping structural model is replaced to construct a displacement damping structural model. The response spectrum analysis unit is configured to perform response spectrum analysis on the non-energy dissipation structural model, viscous damping structural model, displacement damping structural model constructed by the structural model construction unit, and the displacement damping structural model updated by the total damping ratio update unit. This allows for the acquisition of non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action, viscous energy dissipation response parameters, and the initial and updated additional damping ratios of the displacement damping structural model. The non-energy dissipation response parameters include one or more of inter-story displacement, base shear force, natural period, and mode shape parameters. The setting parameters include the type, quantity, and installation location of the viscous energy dissipators. The type includes one or more of damping coefficient and damping exponent. The viscous energy dissipation response parameters include the natural period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. The expected additional damping ratio obtaining unit is configured to determine the expected additional damping ratio of the energy dissipation and damping structure based on the non-energy dissipation response coefficient obtained by the response spectrum analysis unit and its corresponding seismic performance target, wherein the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; The viscous energy dissipator setting parameter acquisition unit is configured to preliminarily determine the setting parameters of the viscous energy dissipator based on the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit, combined with the structural planar layout and vertical stiffness distribution. The setting parameters include the model, quantity, and installation location of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. The restoring force model construction unit is configured to construct the restoring force model of the viscous energy dissipation device based on the viscous energy dissipation response parameters obtained by the structural model construction unit. The mapping unit is configured to map the viscous energy dissipator into a displacement-type energy dissipator based on the restoring force model construction unit's restoring force model, according to the principles of energy dissipation equivalence and geometric feature similarity of the restoring force model. The total damping ratio update unit is configured to iteratively update the total damping ratio of the displacement damping structure model based on the initial additional damping ratio of the displacement damping structure model obtained by the response spectrum analysis unit, thereby updating the displacement damping structure model. The judgment unit determines whether the tolerance of the updated additional damping ratio obtained by the response spectrum analysis unit relative to the additional damping ratio of the previous iteration is less than a set tolerance threshold; if the tolerance is not less than the set tolerance threshold, it sends an iteration signal to the total damping update unit; if the tolerance is less than the set tolerance threshold, it determines whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit; if the updated additional damping ratio is less than the expected additional damping ratio, it sends a parameter update signal to the viscous energy dissipator setting parameter acquisition unit; if the updated additional damping ratio is not less than the expected additional damping ratio, it sends an output signal to the output unit. The output section is configured to output the additional damping ratio corresponding to the output signal and the setting parameters of the corresponding viscous energy dissipator.

[0041] This invention, by constructing a fully automated analysis system encompassing "parametric modeling - equivalent mapping - closed-loop iteration - multi-objective verification," precisely solves the technical challenges of existing technologies where energy dissipation and vibration reduction design relies on manual trial and error, suffers from fragmented calculation processes, and struggles to simultaneously consider the nonlinear characteristics of viscous energy dissipators and seismic performance objectives. The invention's structural model construction unit dynamically constructs and updates non-energy dissipation, viscous, and displacement-type vibration reduction models; the response spectrum analysis unit performs efficient response calculations for each model; the expected additional damping ratio acquisition unit determines design benchmarks based on performance objectives; the viscous energy dissipator parameter acquisition unit initially determines energy dissipator parameters; and the restoring force model construction and mapping units achieve precise conversion from viscous to displacement-type energy dissipators through energy dissipation equivalence and the principle of geometric similarity of the restoring force model. The damping ratio update unit iteratively updates the initial additional damping ratio, the judgment unit terminates the iteration and triggers parameter optimization by comparing the tolerance check with the performance target, and the output unit outputs the final design parameters, forming a closed-loop automated process of "modeling-analysis-mapping-iteration-checking-output". This invention not only achieves fully automated design from performance target to energy dissipator parameters through the coordinated cooperation of various components, avoiding the tediousness and errors of manual intervention, but also ensures the accurate inclusion of the nonlinear characteristics of the viscous energy dissipator and the precise matching of design parameters through equivalent mapping and closed-loop iteration. At the same time, the multi-objective check mechanism ensures that the design results simultaneously meet the performance requirements of inter-story displacement and base shear force, significantly improving the efficiency, accuracy and engineering practicality of energy dissipation and vibration reduction structure design.

[0042] According to a third aspect of the present invention, a computing device is provided, comprising: Memory and processor; The memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions. When the computer-executable instructions are executed by the processor, they implement the steps of the above-described energy dissipation structure analysis method based on reaction spectrum iteration.

[0043] According to a fourth aspect of the present invention, a computer-readable storage medium is provided that stores computer-executable instructions, which, when executed by a processor, implement the steps of the above-described method for energy dissipation structure analysis based on reaction spectrum iteration.

[0044] According to a fifth aspect of the present invention, a computer program is provided, wherein when the computer program is executed in a computer, the computer is instructed to perform the steps of the above-described method for energy dissipation structure analysis based on reaction spectrum iteration.

[0045] The modal response spectrum method (MRSP) has the advantages of simple calculation and stable results. Therefore, relevant Chinese design standards stipulate that the MRSP method can be used for iterative calculation of energy dissipation and vibration reduction structures (referred to as the "response spectrum method"). For displacement-type energy dissipators, the iterative calculation results of the MRSP method are in good agreement with the time history analysis results. However, for velocity-type energy dissipators, the calculation results of the two methods differ significantly, with the additional damping calculated by the response spectrum method being significantly overestimated. The time history method can effectively simulate the force model of velocity-type energy dissipators, but it requires the selection of multiple sets of seismic waves, making the calculation complex, and the calculation results for different seismic waves may have large dispersion.

[0046] The additional damping ratio, bottom shear force, and internal forces of the energy dissipation substructure calculated by the response spectrum iteration method and the time history analysis method differ significantly. Analysis reveals that this difference arises because the response spectrum iteration method assumes the stiffness of the viscous energy dissipator to be zero, meaning it cannot account for the influence of the dynamic additional stiffness of the viscous energy dissipator.

[0047] This invention utilizes the restoring force model combined with the principle of energy dissipation equivalence and geometric similarity of the restoring force model to convert a viscous energy dissipator into a displacement energy dissipator. When calculating the displacement energy dissipator using the response spectrum iteration method, the equivalent stiffness of the displacement energy dissipator can be considered, thus overcoming the shortcomings of the response spectrum iteration method for viscous energy dissipators.

[0048] This invention takes "response spectrum iteration" as its core and solves the problem that the traditional response spectrum method cannot adapt to the nonlinearity of viscous energy dissipators through the process of "non-energy dissipation structure analysis → determination of expected additional damping ratio → initial setting of energy dissipator parameters → analysis of viscous damping structure model → construction of restoring force model → equivalent transformation of displacement energy dissipator → iterative convergence of additional damping ratio". Attached Figure Description

[0049] Figure 1 This is a schematic flowchart of an embodiment of the energy dissipation structure analysis method based on reaction spectrum iteration described in this invention; Figure 2 This is a schematic diagram of an embodiment of the non-energy-dissipating structure model described in this invention; Figure 3 This is a schematic diagram of an embodiment of the viscous damping structure model described in this invention; Figure 4 This is a schematic diagram of an embodiment of the restoring force curve of the viscous energy dissipator described in this invention; Figure 5 This is a schematic diagram of an embodiment of the restoring force curve of the displacement-type energy dissipator described in this invention; Figure 6 This is a schematic diagram of an embodiment of the equivalent mapping between the viscous energy dissipator and the displacement energy dissipator described in this invention; Figure 7This is a schematic diagram of an embodiment of the viscous energy dissipator described in this invention; Figure 8 This is a schematic diagram of an embodiment of the displacement-type energy dissipator described in this invention; Figure 9 This is a schematic diagram of the structural composition of an embodiment of the energy dissipation structure analysis system based on reaction spectrum iteration described in this invention; Figure 10 This is a schematic block diagram of one embodiment of the computing device described in this invention; Figure 11 This is a schematic block diagram of another embodiment of the computing device described in this invention; The system includes: 10. Energy dissipation structure analysis system; 1. Structural model construction unit; 2. Response spectrum analysis unit; 21. Non-energy dissipation structure analysis module; 22. Viscous damping structure analysis module; 221. Zero-damping modal analysis unit; 222. Inter-story displacement acquisition unit; 223. Maximum displacement response acquisition unit; 23. Displacement-type damping structure analysis module; 231. Structural analysis unit; 232. Initial additional damping ratio acquisition unit; 3. Expected additional damping ratio acquisition unit; 31. Seismic performance target acquisition module; 32. Additional damping ratio expectation module; 321. Target reduction coefficient acquisition unit; 322. Initialization unit; 323. Response parameter acquisition unit; 324. Current reduction coefficient acquisition unit; 325. Deviation judgment unit; 326. Expectation unit; 4. Viscous energy dissipator setting parameter acquisition unit; 41. Total energy demand acquisition module; 42. Energy distribution module; 43. Model acquisition module; 44. 5. Installation location acquisition module; 5. Restoring force model construction module; 51. Maximum relative velocity acquisition module; 52. Damping coefficient acquisition module; 53. Maximum output acquisition module; 54. Restoring force model construction module; 55. Hysteresis curve generation module; 6. Mapping unit; 61. Single-cycle consumption acquisition module; 62. Energy analysis module; 63. Mechanical performance analysis module; 7. Total damping ratio update unit; 8. Judgment unit; 9. Output unit; 100. Computing device; 101. Non-energy dissipation structure model; 102. Non-energy dissipation response parameters; 103. Expected additional damping ratio; 104. Setting parameters; 105. Viscous damping structure model; 106. Restoring force model; 107. Displacement damping structure model; 108. Additional damping ratio; 109. Viscous damping structure; 110. Memory; 120. Processor; 130. Bus; 140. Access device; 150. Database; 160. Network. Detailed Implementation

[0050] Numerous specific details are set forth in the following description to provide a full understanding of the invention. However, the invention can be practiced in many other ways different from those described herein, and those skilled in the art can make similar extensions without departing from the spirit of the invention. Therefore, the invention is not limited to the specific embodiments disclosed below.

[0051] The terminology used in one or more embodiments of the present invention is for the purpose of describing particular embodiments only and is not intended to limit the scope of the invention. The singular forms “a” and “the” as used in one or more embodiments of the invention and the appended claims are also intended to include the plural forms unless the context clearly indicates otherwise. It should also be understood that the term “and / or” as used in one or more embodiments of the invention refers to and includes any or all possible combinations of one or more associated listed items.

[0052] It should be understood that although the terms first, second, etc., may be used to describe various information in one or more embodiments of the present invention, such information should not be limited to these terms. These terms are only used to distinguish information of the same type from one another. For example, first may also be referred to as second without departing from the scope of one or more embodiments of the present invention, and similarly, second may also be referred to as first. Depending on the context, the word "if" as used herein may be interpreted as "when," "when," or "in response to a determination."

[0053] Existing technologies have significant shortcomings in handling the seismic response analysis of viscous energy dissipators. Time history analysis results in highly discrete calculations due to the randomness of seismic wave selection, making it difficult to guarantee the stability of design decisions. The response spectrum method, based on linear assumptions, cannot accurately reflect the velocity-dependent nonlinear energy dissipation characteristics of viscous energy dissipators, especially under strong earthquakes, where the calculated indicators are severely distorted. Furthermore, existing improvement methods only focus on optimizing the additional damping ratio formula, failing to couple the mechanical characteristics of the energy dissipator and the main structure at the restoring force model level, and thus cannot fundamentally resolve the incompatibility between nonlinear and linear calculation methods.

[0054] To address the aforementioned problems in the prior art, this invention provides a method, system, and apparatus for energy dissipation structure analysis based on reaction spectrum iteration.

[0055] Figure 1 This is a flowchart illustrating an embodiment of the energy dissipation structure analysis method based on reaction spectrum iteration described in this invention, as shown below. Figure 1 As shown, the energy dissipation structure analysis method includes: Step S1, as follows Figure 2As shown, a non-energy-dissipating structure model is established and a response spectrum analysis is performed to obtain the non-energy-dissipating response parameters of the non-energy-dissipating structure under the target earthquake action. The non-energy-dissipating response parameters include one or more of the following: inter-story displacement, base shear force, natural period, and mode shape parameters. Step S2: Based on the non-energy dissipation response parameters obtained in step S1 and their corresponding seismic performance targets, determine the expected additional damping ratio of the energy dissipation and vibration reduction structure. The seismic performance targets include the inter-story drift angle limit and / or the base shear reduction ratio. Step S3: Based on the structural plan layout, vertical stiffness distribution, and the expected additional damping ratio of the energy dissipation and vibration reduction structure obtained in Step S2, the setting parameters of the viscous energy dissipator are initially determined. The setting parameters include the model, quantity, and installation location of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. Step S4, as follows Figure 3 and Figure 7 As shown, based on the setting parameters of the viscous energy dissipators obtained in step S3, each viscous energy dissipator is implanted into the non-energy dissipation structure model described in step S1 to form a viscous damping structure model. Response spectrum analysis is performed on the viscous damping structure model to obtain viscous energy dissipation response parameters. These parameters include the natural vibration period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. Preferably, the response spectrum analysis of the damping structure model is performed with an additional damping ratio of 0. Step S5: Construct the restoring force model of the viscous energy dissipation device based on the viscous energy dissipation response parameters obtained in step S4. Step S6: Based on the restoring force model of the viscous energy dissipator from step S5, and according to the principle of energy dissipation equivalence and geometric feature similarity of the restoring force model, the viscous energy dissipator is equivalently mapped to a displacement-type energy dissipator. Figure 8 (as shown) Step S7: Replace the viscous energy dissipator in the damping structure model with the displacement type energy dissipator obtained in step S6 to form a displacement type damping structure model. Use response spectrum analysis to obtain the initial additional damping ratio of the displacement type damping structure model. Step S8: Based on the initial additional damping ratio of the displacement-type damping structure model obtained in step S7, update the total damping ratio of the displacement-type damping structure model. Perform response spectrum analysis on the updated displacement-type damping structure model to obtain the updated additional damping ratio. For example, the total damping ratio of the displacement-type damping structure model is the sum of the initial additional damping ratio of the displacement-type damping structure model and the damping ratio of the non-energy-dissipating structure. Update the total damping ratio using the aforementioned initial additional damping ratio. Step S9: Determine whether the tolerance of the updated additional damping ratio relative to the initial additional damping ratio is less than the set tolerance threshold. If the tolerance is not less than the set tolerance threshold, the updated additional damping ratio is used as the initial additional damping ratio, and the process returns to step S8 to continue the iteration. If the tolerance is less than the set tolerance threshold, then proceed to step S10 to determine whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio in step S2. If the updated additional damping ratio is less than the expected additional damping ratio, return to step S3; If the updated additional damping ratio is not less than the expected additional damping ratio, the process ends, and a damping structure design that satisfies the requirement that the updated additional damping ratio is not less than the expected additional damping ratio is output. The damping structure design includes one or more of the following: additional damping ratio, setting parameters of viscous energy dissipator, and viscous damping structure model.

[0056] The following details each step of the energy dissipation structure analysis method: Step S1: Non-energy-dissipating structure analysis steps: In one possible embodiment, step S1 includes: Construct a non-energy-dissipating structure model that does not include an energy dissipator, such as Figure 2 As shown, a non-energy-dissipating structural model can be established based on the structural information using finite element software or other structural analysis tools for subsequent comparison and analysis. The structural information may include material properties, boundary conditions, load information, mass distribution, geometric dimensions, construction sequence, and various other information during the construction process. Preferably, the structural information includes the geometric dimensions, boundary conditions, and material properties of the structure. Select the target seismic response spectrum and perform response spectrum analysis on the non-energy dissipation structural model to obtain key response parameters such as inter-story displacement, base shear force, and natural period of the structure under the target earthquake action. These parameters serve as the benchmark values ​​for subsequent energy dissipation and vibration reduction design. For example, the response spectrum specified in the "Standard for Seismic Design of Buildings" GB / T50011-2010 can be used to perform response spectrum analysis on the non-energy dissipation structural model.

[0057] Step S2: Determining the Expected Additional Damping Ratio In one feasible embodiment, step S2 includes: Step S21: Determine the seismic performance target of the energy dissipation and damping structure based on one or more of the following: structural type, seismic fortification intensity, service function, and code requirements. Step S22: Based on the comparison between the non-energy dissipation response parameters obtained in step S1 and the seismic performance target, adjust the total damping of the energy dissipation and damping structure to determine the expected additional damping ratio required by the energy dissipation and damping structure, which serves as the design control index for the energy dissipator arrangement scheme.

[0058] In one feasible embodiment, in step S21: The structural type refers to the main lateral force resisting system and its material properties; The seismic fortification intensity refers to the earthquake intensity approved by the state as the basis for seismic fortification in this region; The term "function" refers to the importance of a building in social life and whether it needs to continue operating after an earthquake. The aforementioned specifications refer to the mandatory provisions and performance-based design guidelines in national, industry, and local standards that must be followed.

[0059] In one embodiment, step S22 includes: Step S221: Determine the target reduction factor based on the non-energy dissipation response parameters and seismic performance indicators; Step S222: Set the initial value of the total damping ratio; Step S223: Keep the non-energy-dissipating structure model unchanged, only modify the total damping ratio to the initial value, recalculate the response spectrum, and obtain the response parameters of the energy-dissipating and vibration-damping structure; Step S224: Obtain the current reduction factor based on the response parameters of the energy dissipation and damping structure relative to the non-energy dissipation response parameters of the non-energy dissipation and damping structure; Step S225: Determine whether the deviation of the current reduction factor from the target reduction factor is within the set deviation range; If the deviation is not within the deviation range, and the current reduction factor is greater than the target reduction factor, return to step S222 to increase the initial value of the total damping ratio; if the current reduction factor is less than the target reduction factor, return to step S222 to decrease the initial value of the total damping ratio.

[0060] If the deviation is within the deviation range, step S226 is executed to obtain the expected additional damping ratio using the total damping ratio and the damping ratio of the non-energy dissipation structure that satisfy the deviation being within the deviation range. For example, the expected additional damping ratio is obtained by subtracting the damping ratio of the non-energy dissipation structure from the total damping ratio that satisfies the deviation being within the deviation range.

[0061] In one feasible embodiment, step S22 includes: The target reduction factor is obtained based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure through the following formula (1): (1) in, This is the maximum inter-story drift angle for a non-energy-dissipating structure. This refers to the inter-story drift angle limit; The target reduction factor; Set the initial value of total damping. For example, setting For example, settings The initial value can be set to the damping ratio of the non-energy-dissipating structure, or it can be set to another damping ratio that is greater than the damping ratio of the non-energy-dissipating structure.

[0062] Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, the response spectrum is recalculated to obtain the current maximum inter-story drift angle. ; The current reduction factor for the maximum inter-story drift angle of the energy dissipation and damping structure relative to the maximum inter-story drift angle of the non-energy dissipation and damping structure is obtained by the following formula (2): (2) in, This is the current reduction factor; like This indicates insufficient damping; increase the damping. Return to the steps for setting the initial value of total damping; like ( This indicates that the damping is too large; reduce it. Return to the step where the initial value of the total damping is set; like and ( Deviation threshold, such as 0.001): convergence, obtaining the expected total damping ratio. ; The expected additional damping ratio is obtained based on the expected total damping ratio using the following formula (3): (3) in, The expected additional damping ratio; The damping ratio of the non-energy-dissipating structure.

[0063] In one feasible embodiment, step S22 includes: Based on the reduction ratio of base shear force in the seismic performance target, the target reduction factor is obtained by the following formula (4): (4) in, The proportion of base shear force reduction in the seismic performance target; Set the initial value of total damping. ; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, the response spectrum is recalculated to obtain the current base shear force. ; The current reduction factor is obtained based on the current base shear force and the base shear force of the non-energy dissipation structure using the following equation (5): (5) in, The base shear force is for a non-energy-dissipating structure; like This indicates insufficient damping; increase the damping. Return to the steps for setting the initial value of total damping.

[0064] like ( This indicates that the damping is too large; reduce it. Return to the step where the initial value of the total damping is set; like and ( Deviation threshold, such as 0.001): convergence, obtaining the expected total damping ratio. ; The expected additional damping ratio is obtained by formula (3) based on the expected total damping ratio.

[0065] In one feasible embodiment, step S22 includes: The displacement target reduction coefficient is determined by formula (1) based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction coefficient is obtained by formula (4) based on the base shear force reduction ratio in the seismic performance target. The smaller value between the target displacement reduction factor and the target shear force reduction factor is selected as the target reduction factor, and the maximum inter-story drift angle or base shear force corresponding to the target reduction factor is selected as the target parameter. (6) in, The target reduction factor; The displacement reduction factor; The shear force reduction factor; Set the initial value of total damping. ; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current value of the target parameter; The current reduction factor is obtained based on the current value of the target parameter and the value of the target parameter of the non-energy-dissipating structure: like This indicates insufficient damping; increase the damping. Return to the steps for setting the initial value of total damping.

[0066] like ( This indicates that the damping is too large; reduce it. Return to the step where the initial value of the total damping is set; like and ( Deviation threshold, such as 0.001): convergence, obtaining the expected total damping ratio. ; The expected additional damping ratio is obtained by formula (3) based on the expected total damping ratio.

[0067] In one feasible embodiment, step S22 includes: The displacement target reduction coefficient is determined by formula (1) based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction coefficient is obtained by formula (4) based on the base shear force reduction ratio in the seismic performance target. Set the initial value of total damping. ; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle and the current base shear force; Calculate the current displacement reduction factor based on the current maximum inter-story drift angle and the current base shear force. and current shear force reduction factor ; judge and ; if or / and This indicates insufficient damping; increase the damping. Return to the steps for setting the initial value of total damping; if and The convergence yields the expected total damping ratio. ; The expected additional damping ratio is obtained by formula (3) based on the expected total damping ratio.

[0068] In a preferred embodiment, in step S22 above: judge ; if Then increase Return to the steps for setting the initial value of total damping; if The convergence yields the expected total damping ratio. ; The expected additional damping ratio is obtained by formula (3) based on the expected total damping ratio.

[0069] Step S3: Obtaining parameters for the viscous energy dissipator: In one feasible embodiment, in step S3: The structural plan layout includes one or more of the following: the planar coordinates of the lateral force resisting members, the planar coordinates of the lateral force resisting members, the installation span and direction vector of the energy dissipator, the spatial parameters of the node connection, the floor mass distribution, and the floor stiffness properties. The vertical stiffness distribution includes one or more of the following: inter-story lateral stiffness, story height, vertical member section properties, floor mass, stiffness abrupt change, and structural system variation along height.

[0070] In one feasible embodiment, step S3 includes: Step S31, Steps to obtain total energy requirements: Based on the non-energy dissipation response parameters obtained in step S1 and the expected additional damping of the energy dissipation and vibration reduction structure obtained in step S2, the total energy required to be consumed by all viscous energy dissipators in one vibration cycle is obtained. Step S32, Energy distribution and target energy dissipation of a single viscous energy dissipator: Based on the total energy demand obtained in step S31, and combined with the vertical stiffness distribution and planar arrangement of the non-energy dissipation structure, the total energy is distributed to each floor to obtain the energy required for each floor; based on the preset number of viscous energy dissipators, the target energy dissipation of the viscous energy dissipators is obtained, for example, by distributing the total energy to each floor in a manner proportional to the floor shear force and / or inter-story displacement, or by distributing the total energy to each floor according to the floor mass and stiffness; Step S33, Steps for obtaining the viscous energy dissipator model: Based on the target energy dissipation of a single viscous energy dissipator obtained in step S32 and the natural vibration period obtained in step S1, the damping coefficient required to meet the target energy dissipation is obtained, thereby obtaining the model of the viscous energy dissipator. Step S34, obtaining the installation location of the viscous energy dissipator: Based on the damping coefficient and estimated maximum velocity of the viscous energy dissipator obtained in step S33, the maximum output of the viscous energy dissipator is obtained; the maximum output of the viscous energy dissipator is compared with the nodal bearing capacity of the non-energy dissipation structure. If it exceeds the nodal bearing capacity limit, the number of units or the installation position are adjusted, and the process returns to step S32; if it does not exceed the nodal bearing capacity limit, the arrangement position of the viscous energy dissipator is obtained.

[0071] In one feasible embodiment, step S31 includes: The total energy consumed by all viscous energy dissipators in one vibration cycle can be obtained by the following equation (7): (7) in, The total energy required for all viscous energy dissipators; This represents the total strain energy of a non-energy-dissipating structure, reflecting the deformation energy reserve of the structure under seismic loading. ; For the first Shear force of the layer; For the first Inter-story displacement; For the first Lateral stiffness of the layer; This represents the total number of structural layers.

[0072] In one feasible embodiment, step S32 includes: The energy required for each layer can be obtained using the following formula (8): (8) in, For the first The total energy consumed by all viscous energy dissipators in the layer; The first Shear force and inter-story displacement of the story.

[0073] The target energy dissipation of each viscous energy dissipator is obtained by the following formula (9): (9) in, For the first The number of viscous energy dissipators to be installed on each floor can be initially determined based on the floor plan. For the first The target single-cycle energy consumption of a single viscous energy dissipator.

[0074] In one feasible embodiment, step S33 includes: The maximum velocity of a single viscous energy dissipator is obtained by the following equation (10): (10) in, For the first The maximum velocity of the laminar viscous energy dissipator; The fundamental circular frequency of the structure is determined by its natural period. get, ; For the first The relative displacement at both ends of the layered viscous energy dissipator can be determined through the first... Interstory displacement Multiply by the installation angle Correction; The damping coefficient of the viscous energy dissipator is obtained by the following equation (11): (11) in, The damping index; To and The correlation coefficient can be obtained by... It can be obtained either by looking up a table; This is the scaling factor; For the first Damping coefficient of a single viscous energy dissipator.

[0075] In one feasible embodiment, step S34 includes: The maximum output of the viscous energy dissipator is obtained by the following formula (12): (12) in, For the first The maximum damping force of a single viscous energy dissipator in the layer is used to verify the node strength.

[0076] In one feasible embodiment, step S3 includes:

[0077] Step S31: Establish the structural dynamic characteristic matrix and energy distribution diagram: By utilizing the planar coordinates of lateral force resisting members in the structural plan layout, the floor mass distribution, and the floor slab stiffness properties, a horizontal mass matrix and a stiffness matrix are constructed. Simultaneously, by combining the inter-story lateral stiffness, story height, vertical member section properties, and floor mass in the vertical stiffness distribution, a vertical stiffness matrix and a lumped mass vector are constructed. Modal analysis is used to solve for the first few vibration modes and periods of the structure. Then, the inter-story displacement and relative velocity response of each floor under frequent and design earthquakes are calculated. The weak stories caused by stiffness abrupt changes and changes in the structural system along the height, as well as the torsional high-sensitivity zone caused by planar mass eccentricity, are identified. Finally, an energy distribution map reflecting the spatial distribution of the structure's energy consumption demand is generated, providing a quantitative basis for subsequent site selection. Step S32, determine the viscous energy dissipator layout strategy and initial position: Based on the energy distribution map generated in step S31, weak floors with low inter-story lateral stiffness or abrupt stiffness changes in the vertical stiffness distribution are identified as the main arrangement floors. At the same time, based on the planar coordinates of the lateral force resisting members and the floor mass distribution in the structural plan layout, the outer axis and long side direction with significant planar torsional effect are selected as the main arrangement axis. Then, the geometric feasibility is verified by combining the energy dissipator installation span and direction vector and node connection spatial parameters. Spans that cannot be installed due to insufficient space in door and window openings or beam and column nodes are eliminated. Finally, the initial set of viscous energy dissipator installation positions that take into account both energy dissipation efficiency and construction feasibility is determined. Step S33: Calculate the total damping coefficient based on the target additional damping ratio: Using the expected additional damping ratio obtained in step S2 as the target constraint, and based on the damping contribution of modal strain energy theory, the inter-story relative velocity amplitude at each initial position under each mode shape is obtained using step S31, and combined with the angular projection coefficient corresponding to the energy dissipator installation span and direction vector determined in step S32 ( The potential influence factors of story height on the slenderness ratio and stability of the support in the vertical stiffness distribution are investigated. A linear or nonlinear equation system about the total damping coefficient is established, and the equivalent total damping coefficient of each story required to meet the target damping ratio is calculated in reverse to ensure that the theoretical energy dissipation capacity covers the input energy of the structure under seismic action. Step S34, Assign parameters for a single viscous energy dissipator (initial model selection): Based on the equivalent total damping coefficient requirements of each floor calculated in step S33, the requirements are refined according to the velocity response weights of each span in the energy distribution diagram in step S31 to obtain the individual damping coefficient requirements for each specific installation point. Then, combined with the node connection space parameters in the structural plan layout (limiting the maximum external dimensions) and the floor height in the vertical stiffness distribution (affecting the support stiffness and velocity amplification efficiency), the closest viscous energy dissipator model is matched from the preset product library (to determine the damping coefficient and damping index). If a single model cannot meet the requirements or is limited by space, the number of units is automatically adjusted to complete the preliminary selection. Step S35, Speed ​​amplification factor correction and finalization: Taking into account the directional efficiency loss caused by the actual installation angle of the viscous energy dissipator in the structural plan layout, and the reduction effect of the axial stiffness of the support determined by the floor height and the cross-sectional properties of the vertical members on the relative velocity at the end of the viscous energy dissipator in the vertical stiffness distribution, the velocity amplification factor is calculated and the parameters of the viscous energy dissipator initially selected in step S34 are corrected and checked. If the actual additional damping ratio after correction is lower than the expected value set in step S2, the number of arrangements is increased or the model is upgraded until the performance target is met. Finally, the viscous energy dissipator setting parameters containing the exact model (damping coefficient, damping index), number of arrangements and precise installation position are output.

[0078] This invention precisely solves the technical problem in existing technologies where the placement of viscous energy dissipators relies on empirical judgment and lacks comprehensive consideration of structural space energy consumption requirements and installation constraints, resulting in low energy consumption efficiency and poor construction feasibility. This is achieved by constructing a full-process collaborative design mechanism encompassing "dynamic characteristic identification—energy demand quantification—target damping back-calculation—parameter fine-grained allocation—installation effect correction." First, this invention constructs a dynamic characteristic matrix using the structural planar and vertical properties. Through modal analysis, it identifies weak layers and torsional sensitive areas and generates an energy distribution map. Based on this, it identifies weak floors and critical axes to determine the initial placement location. Then, using the expected additional damping ratio as the target, it combines modal strain energy theory and velocity response... The total damping coefficient should be calculated backwards, and the parameters of each unit should be finely allocated according to the speed weight and the model should be initially selected. Finally, the speed amplification effect caused by the installation angle and support stiffness should be comprehensively considered for correction and iteration until the performance target is met. This invention not only achieves precise spatial matching between the energy dissipator layout and the actual energy consumption demand of the structure through the energy distribution diagram, avoiding the waste of resources caused by blind layout, but also ensures the actual feasibility and energy consumption efficiency of the design scheme through quantitative verification of construction constraints such as installation angle and support stiffness. At the same time, through the closed-loop process of "backward calculation-allocation-correction", the accuracy and engineering practicality of the viscous energy dissipator parameter design are greatly improved, and the design trial and error cost and construction adjustment risk are significantly reduced.

[0079] Step S4: Obtaining viscous energy dissipation response parameters: In one feasible embodiment, step S4 includes: Step S41, construct a viscous damping structure model: Based on the viscous energy dissipator setting parameters output in step S3, the equivalent linear connection unit corresponding to the viscous energy dissipator is implanted into the non-energy dissipation structure model established in step S1 to construct a viscous vibration reduction structure model. Step S42, Perform response spectrum analysis with zero additional damping ratio: The viscous damping structure model obtained in step S41 is subjected to modal decomposition response spectrum analysis to obtain the viscous energy dissipation response parameters corresponding to the maximum displacement response.

[0080] In one feasible embodiment, step S4 includes: Step S41, construct a viscous damping structure model: Based on the viscous energy dissipator setting parameters output in step S3, the equivalent linear connection unit corresponding to the viscous energy dissipator is implanted into the non-energy dissipation structure model established in step S1 to construct a viscous damping structure model; the equivalent damping coefficient of the viscous energy dissipator is 0, the viscous energy dissipator does not increase the structural stiffness, the energy dissipation is reflected in the earthquake process, the initial damping ratio of the structure remains unchanged, and the additional damping ratio is 0. Step S42, perform zero-damped modal analysis to extract dynamic characteristics: By solving the eigenvalues ​​of the viscous damping structure model, the natural frequency and mode shape of the viscous damping structure are obtained, thereby obtaining the natural period and mode shape vector of the viscous damping structure. These parameters accurately reflect the improvement in the overall stiffness of the structure after the energy dissipator is installed (usually manifested as a shortening of the period), eliminating the period calculation error caused by inaccurate estimation of the damping ratio in the traditional method. Step S43: Obtain the inter-story displacement of the viscous damping structure based on response spectrum analysis and internal force synthesis according to modal decomposition. Using the natural period and mode shape obtained in step S42, combined with the code design response spectrum curve (e.g., acceleration spectrum), the maximum seismic effect under each mode shape is calculated. Since the additional damping ratio is set to 0, the displacement and internal force calculated at this time represent the peak response under the "undamped" or "only structural inherent damping" state (the inherent damping of concrete structures is generally 0.05, and the additional damping ratio is 0.02-0.05). Subsequently, the CQC (complete quadratic combination) or SRSS (sum of squares and root of squares) method is used to combine the responses of each mode shape, calculate the inter-story displacement of each floor of the structure and the maximum deformation of the equivalent linear connection unit installed at each location, as intermediate variables for estimating the actual working state of the viscous energy dissipator. Step S44, Geometric inversion and parameter integration of the maximum displacement response of the viscous energy dissipator: Based on the inter-layer displacements obtained in step S43, combined with the installation geometric parameters of the viscous energy dissipator determined in step S3 and the support stiffness relationship defined in step S41, the relative maximum displacement response at both ends of each viscous energy dissipator is calculated by inversion using the geometric projection principle.

[0081] In one feasible embodiment, step S41 includes: A viscous damping structure model is constructed using the following formula (13): (13) in, The damping force of a viscous damping structure; For equivalent stiffness, , The angle between the installation axis of the viscous energy dissipator and the horizontal plane can be obtained through step S3. The axial stiffness of the supporting components for the viscous energy dissipator can be obtained through step S3; This represents the displacement of the viscous energy dissipator.

[0082] In one feasible embodiment, step S42 includes: The natural period and mode shape vector of the viscous energy dissipation and damping structure are obtained by using the following equations (14) and (15): (14) (15) in, This is the total stiffness matrix of the non-energy-dissipating structure stiffness and the stiffness of all equivalent linear connection elements; The total structural mass matrix of a viscous energy dissipation and vibration reduction structure; For the first Circular frequency; For the first Mode shape vector; For the first The first natural period.

[0083] In one feasible embodiment, step S43 includes: The equivalent static seismic action of each floor under each vibration mode is obtained by the following equation (16): (16) in, For the first The first mode shape Standard value of horizontal seismic force generated by the layer; For the first The spectral acceleration coefficients corresponding to the mode shapes, , To correspond to the natural period Design spectrum acceleration; For the first The contribution weight of mode shape to the overall structural seismic response. , For the first The quality of the layer, For the first The first mode shape Layering; For the first Gravity load of the layer; The inter-story displacements of each floor are obtained using the following formula (17): (17) in, For the first The final inter-story displacement response of the layer; For the first The second mode of vibration Inter-layer displacement; For the first The first mode shape and the second mode shape Modal coupling coefficients of the first vibration mode; For the first The second mode of vibration Interlayer displacement.

[0084] In one feasible embodiment, step S44 includes: The relative maximum displacement response at both ends of each viscous energy dissipator is obtained by the following equations (18) and (19): (18) (19) in, To withstand earthquake loads, the device installed at the first... The relative displacement of a single viscous energy dissipator in a layer along its axial direction; For the first Installation tilt angle of the laminar viscosity energy dissipator; No. Inter-story lateral stiffness of non-energy-dissipating layered structures; This represents the maximum relative displacement produced by a single viscous energy dissipator along its axial direction.

[0085] This invention precisely solves the technical problems in existing technologies, such as the difficulty in directly analyzing viscous energy dissipation structures using the response spectrum method due to the nonlinear characteristics of their seismic response, and the large deviations in the predicted inter-story displacement and energy dissipation stroke caused by traditional methods neglecting the reduction effect of support deformation and installation angle on the actual displacement response of the energy dissipator, by constructing an analytical calculation chain of "equivalent stiffness linearization—modal decomposition response spectrum—displacement amplification correction". First, this invention constructs an equivalent stiffness model of the energy dissipator based on the axial stiffness of the support and the installation tilt angle, incorporates it into the overall structural stiffness matrix for eigenvalue analysis to obtain accurate natural periods and modes. Then, it uses the modal decomposition response spectrum method combined with modal participation coefficients to calculate the seismic action and inter-story displacement under each mode. The inter-story displacement response was analyzed, and the total floor displacement was obtained through SRSS combination. Finally, the ratio of support stiffness to inter-story stiffness and the cosine term of installation tilt angle were introduced to correct the floor displacement and accurately calculate the actual relative maximum displacement at both ends of the energy dissipator. This invention not only realizes the rapid solution of viscous energy dissipation structure under the response spectrum framework through an equivalent linearization model, avoiding tedious time history analysis, but also corrects the effective displacement of the energy dissipator by introducing the support deformation compatibility equation, eliminating the calculation error caused by ignoring support flexibility and installation angle. This significantly improves the accuracy and reliability of displacement response prediction in the preliminary design stage of energy dissipation and vibration reduction structure, and provides a scientific basis for subsequent parameter selection and connection node design of energy dissipator.

[0086] Step S5: Restoration force model construction steps: In one feasible embodiment, step S5 includes: Step S51, determine the design velocity and target damping coefficient of the viscous energy dissipator: Using the natural period and maximum displacement response obtained in step S4, the maximum relative velocity of the viscous energy dissipator under the design earthquake is calculated based on simple harmonic motion. Subsequently, combining the preset velocity index (values ​​recommended by product selection or specifications, such as 0.3-1.0) and the energy demand corresponding to the expected additional damping ratio determined in step S2, the damping coefficient required for each layer of viscous energy dissipator is calculated, which is the basis for subsequent calculations of maximum output. Step S52, calculate the maximum output of the viscous energy dissipator: After determining the damping coefficient and the maximum relative velocity, the power-law constitutive equation of the viscous energy dissipator is directly substituted into it to calculate the maximum instantaneous damping force (maximum output force of the viscous energy dissipator) that each layer of the viscous energy dissipator may generate under the design conditions. The maximum instantaneous damping force is used as the basis for determining the displacement type energy dissipator based on the geometric similarity principle of the energy dissipation equivalence and restoring force model. Step S53, construct the restoring force model and generate the hysteresis curve ( Figure 4 (shown) Based on the maximum output of the viscous energy dissipator determined in step S52, a time-varying restoring force model is established. Combined with the maximum displacement response in step S4, the mapping relationship between output and displacement is obtained by eliminating the time variable, and a hysteresis curve is generated. The hysteresis curve intuitively shows the energy dissipation capacity (area enclosed by the curve) and stiffness characteristics (secant slope) of the energy dissipator in one vibration cycle, which constitutes the mathematical model required for subsequent nonlinear time history analysis.

[0087] In one feasible embodiment, step S51 includes: The maximum relative velocity of the viscous energy dissipator under the design earthquake is obtained by the following equation (20): (20) in, For the first The maximum relative velocity at both ends of the viscous energy dissipator in the layer; The structural equivalent circular frequency; The damping coefficient required for the viscous energy dissipator is obtained by the following equation (21): (twenty one) in, For the first The damping coefficient required for a single viscous energy dissipator in the layer; The first corresponding to the expected additional damping ratio Energy requirements of the layer; This is the speed index.

[0088] In one feasible embodiment, step S52 includes: The maximum output of the viscous energy dissipator is obtained by the following formula (22): (twenty two) in, For the first The maximum output of a single viscous energy dissipator in the layer.

[0089] In one feasible embodiment, step S53 includes: The restoring force model is constructed using the following formula (23): (twenty three) in, for Instantaneous damping force of a viscous energy dissipator; for The instantaneous displacement of the viscous energy dissipator.

[0090] This invention precisely solves the technical problems in the prior art of viscous energy dissipator parameter design, such as the lack of clear physical quantity correlation, the difficulty in back-deriving specific damping coefficients and output indicators from expected energy demand, and the inability to construct an accurate restoring force model to support subsequent equivalent analysis, by establishing a progressive calculation logic of "maximum relative velocity - damping coefficient - maximum output force - restoring force model". This invention first calculates the maximum relative velocity under design earthquakes based on the structural equivalent circular frequency and the maximum relative displacement of the energy dissipator. Then, it combines the energy demand corresponding to the expected additional damping ratio and the velocity exponent to inversely deduce the required damping coefficient. Subsequently, it uses the damping coefficient and the maximum relative velocity to calculate the maximum output of the energy dissipator. Finally, it integrates the damping coefficient, velocity exponent, and real-time velocity / displacement data to construct a restoring force model that reflects nonlinear hysteresis characteristics. This invention not only achieves precise reverse design from macroscopic energy demand to microscopic component parameters, ensuring a strict match between the energy dissipator output and the structural energy consumption demand, but also provides the necessary physical basis for transforming the viscous energy dissipator into a displacement-type energy dissipator based on the principle of energy consumption equivalence and geometric similarity of the restoring force model by constructing an accurate mathematical restoring force model. This significantly improves the scientific nature of vibration reduction design, calculation accuracy, and the coherence of the entire process analysis.

[0091] In one feasible embodiment, step S5 includes: Step S510: Construct the restoring force model of the viscous energy dissipator; Step S520: Obtain the hysteresis curve of the viscous energy dissipator.

[0092] In one feasible embodiment, step S510 includes: Obtain the fundamental period T1 of the structure (the periods corresponding to the first vibration modes in the X and Y directions are taken respectively for the calculation of the energy dissipators in the X and Y directions), and obtain the displacement difference between the connecting members at both ends of the viscous energy dissipator of the viscous damping structure. (That is, the maximum displacement of the viscous energy dissipator) Based on simple harmonic motion, the maximum velocity and maximum output of the viscous energy dissipator are obtained, thereby determining the energy dissipation of the viscous energy dissipator: (twenty four) (25) (26) (27) (28) (29) in, This represents the displacement of the viscous energy dissipator. This represents the maximum displacement of the viscous energy dissipator. The velocity of the viscous energy dissipator; This represents the maximum speed of the viscous energy dissipator. For the output of the viscous energy dissipator; This represents the maximum output of the viscous energy dissipator. The damping coefficient of the viscous energy dissipator; For the energy consumption of the viscous energy dissipator; It is a function of the damping exponent.

[0093] In one feasible embodiment, step S520 includes: The natural vibration period of the structure is uniformly discretized into several equal time intervals. Based on the time history displacement and damping output response of the viscous energy dissipator, the hysteresis curve of the energy dissipation component is plotted.

[0094] Step S6: Equivalent mapping step: In one feasible embodiment, the equivalent mapping between the viscous energy dissipator and the displacement energy dissipator in step S6 adopts a dual-control equivalent mapping of energy consumption equivalence and restoring force model geometric features.

[0095] In one feasible embodiment, step S6 includes: Step S61, obtain the single-cycle energy consumption of the viscous energy dissipator: The energy consumed by the viscous energy dissipator in one vibration cycle is analyzed using the restoring force model in step S5 and the maximum displacement response of the viscous energy dissipator obtained in step S4. Step S62, establish the energy expression for the displacement-type energy dissipator: The maximum displacement of the displacement-type energy dissipator is equal to the maximum displacement of the viscous energy dissipator obtained in step S4 multiplied by the displacement correction coefficient of the restoring force model. The maximum force of the displacement-type energy dissipator is equal to the maximum force of the viscous energy dissipator obtained in step S4 multiplied by the yield force correction coefficient of the restoring force model. A functional relationship between the single-cycle energy consumption of the displacement-type energy dissipator and its equivalent yield force is established, providing a target end expression for the energy balance equation and obtaining the energy consumed by the displacement-type energy dissipator in one vibration cycle. Step S63, as follows Figures 4-6 As shown, the equivalent stiffness and equivalent yield force are obtained based on the energy dissipation equivalence and the dual-control equivalent mapping that satisfies the geometric characteristics of the restoring force model: Based on the principle of energy dissipation equivalence, the energy dissipation of the viscous energy dissipator obtained in step S61 is the same as that of the displacement energy dissipator, thus obtaining the energy balance equation and the equivalent yield force. The equivalent elastic stiffness is obtained by using Hooke's law.

[0096] In one feasible embodiment, step S61 includes: The single-cycle energy consumption of the viscous energy dissipator is obtained by the following formula (30): (30) in, This is the hysteresis curve shape coefficient, a constant related to the damping exponent. ; This refers to the energy consumption per cycle of a viscous energy dissipator. The damping coefficient of the viscous energy dissipator determined in step S5; This is the displacement correction factor for the restoring force model.

[0097] In one feasible embodiment, step S63 includes: The single-cycle energy consumption of the displacement-type energy dissipator is constructed using the following formula (31): (31) in, The energy consumed per cycle in an ideal elastoplastic model; Equivalent yield strength (kN); This is the equivalent yield displacement; This represents the yield displacement ratio.

[0098] In one feasible embodiment, step S63 includes: Based on the geometric property correction coefficients (displacement correction coefficient and yield force correction coefficient) of the restoring force model, the equivalent yield force of the displacement energy dissipator is obtained by the following equation (32): (32) in, This is the yield force correction factor for the restoring force model; The equivalent elastic stiffness of the displacement-type energy dissipator can be obtained by the following equation (33): (33) in, This is the equivalent elastic stiffness of the displacement-type energy dissipator.

[0099] This invention precisely solves the technical problems in existing technologies where viscous energy dissipators and displacement-type energy dissipators are difficult to directly replace due to their different physical mechanisms, and where the lack of a unified energy quantification standard leads to large deviations in the calculation of equivalent parameters (equivalent yield force, equivalent elastic stiffness). This is achieved by constructing an energy equivalence mapping mechanism of "viscous damping energy dissipation – displacement-type hysteretic energy dissipation – equivalent parameter inversion." First, based on the damping coefficient, velocity exponent, and maximum displacement response of the viscous energy dissipator, and combined with the hysteresis curve shape coefficient, its single-cycle energy dissipation is calculated. Then, a single-cycle energy dissipation model of an ideal elastoplastic displacement-type energy dissipator is constructed. By ensuring that the energy dissipation of both is equal and that the restoring force model curves are similar (the restoring force model curves of the viscous energy dissipator and the displacement-type energy dissipator are full, and u... max and F max (With a difference of less than 5%), an equation relationship is established, and the equivalent yield force and equivalent elastic stiffness of the displacement-type energy dissipator are solved by inversion, realizing the accurate equivalent conversion of the two different types of energy dissipators at the energy and restoring force model energy consumption characteristics level. This invention eliminates the physical mechanism differences between viscous and displacement-type energy dissipators through dual-control equivalent mapping based on the geometric characteristics of the restoring force model and energy conservation, ensuring the consistency of the overall energy consumption capacity of the structure after equivalent replacement. Furthermore, the accurate calculation of equivalent parameters is achieved through clear mathematical formulas, avoiding the blindness and errors of traditional experience-based replacement. This provides an accurate model basis for subsequent response spectrum analysis and additional damping ratio calculation based on displacement-type energy dissipators, significantly improving the scientific nature of vibration reduction structure design and the coherence of the whole process analysis.

[0100] The restoring force model of a viscous energy dissipator does not include stiffness characteristics, while the response spectrum method performs finite element analysis based on element stiffness and displacement, resulting in serious deviations in the calculation results.

[0101] The restoring force model of a displacement-type energy dissipator includes stiffness effects, making it suitable for response spectrum analysis and yielding accurate results. Therefore, a transformation of the restoring force model can be used to address the deviation problem in the calculation results of viscous energy dissipators.

[0102] The challenges in converting between viscous and displacement-type energy dissipators include: viscous energy dissipators have good energy dissipation efficiency, while displacement-type energy dissipators generally have poor energy dissipation efficiency but can effectively increase structural stiffness. The key to solving this problem lies in constructing a displacement-type energy dissipator with energy dissipation efficiency close to that of a viscous energy dissipator.

[0103] The inventors of this application discovered through research that, under the same output force and displacement, the energy dissipation of the ideal elastic-plastic model (i.e., the stiffness of the energy dissipator is 0 after yielding) is closest to that of the viscous energy dissipator. Therefore, the viscous energy dissipator was converted into an ideal elastic-plastic model (displacement type energy dissipator).

[0104] In one feasible embodiment, step S6 includes: Equivalent mapping between viscous energy dissipators and displacement energy dissipators is achieved based on the principle of similar geometric features of energy dissipation equivalence and restoring force model.

[0105] In one feasible embodiment, step S6 includes: The equivalent mapping between the viscous energy dissipator and the displacement energy dissipator is achieved by the following equations (34)-(37): (34) (35) (36) (37) in, This represents the maximum displacement of the displacement-type energy dissipator. This is the yield displacement of the displacement-type energy dissipator; The yield force of the displacement-type energy dissipator; Energy is consumed by the displacement-type energy dissipator.

[0106] In one feasible embodiment, step S6 includes: Take (includes) , ), ( , The hysteresis curve of the displacement-type energy dissipator is obtained from the corner coordinates.

[0107] Energy dissipation and yield displacement of an ideal elastoplastic model and yield strength Closely related, reasonable , The selected value can ensure that the energy consumption is equal after conversion.

[0108] In a preferred embodiment, the displacement correction factor and the yield strength correction factor are obtained by the following equations (38) and (39), respectively: (38) (39).

[0109] In one embodiment, , ,

[0110] In one feasible embodiment, such as Figures 4-6 As shown, based on the principle of similarity in geometric features between the energy equivalence and restoring force models ( Figure 4 and Figure 5 (The figures in the middle have equal areas and are geometrically similar), and the maximum output and maximum displacement of the viscous energy dissipator are multiplied by the corresponding geometric characteristic correction coefficients of the restoring force model. , The yield force and yield displacement of the displacement-type energy dissipator can be obtained through calculation. Figure 5 Yield force and displacement of the medium-displacement energy dissipator. Based on the transformation of the restoring force model, the yield force and equivalent elastic stiffness of the ideal elastoplastic displacement energy dissipator are obtained. Then, the vibration reduction model of the viscous energy dissipator is modified to obtain the vibration reduction model of the displacement energy dissipator.

[0111] This invention solves the technical problem that viscous energy dissipators (velocity-dependent) and displacement-dependent energy dissipators (displacement-dependent) cannot be directly replaced due to differences in their physical mechanisms, and that traditional designs require repeated modeling and analysis. This is achieved by constructing a conversion mechanism of "hysteresis energy dissipation equivalence—parameter mapping—model reconstruction." Based on the principle of energy equivalence (ensuring that the single-cycle hysteresis energy dissipation area of ​​both is equal and their shapes are similar), this invention multiplies the maximum damping force and maximum displacement of the viscous energy dissipator by the geometric characteristic correction coefficient of the restoring force model. , The yield force and yield displacement of the displacement-type energy dissipator are obtained through inversion, and its equivalent elastic stiffness is then determined. Finally, the original viscous energy dissipator model is replaced with an ideal elastoplastic model, completing the transformation of the vibration reduction structure model. This invention achieves seamless replacement of different types of energy dissipators through energy equivalence, avoiding computational redundancy in repeated modeling and analysis. Furthermore, parameter mapping ensures that the energy dissipation capacity of the replaced structure is consistent with the original design, providing an accurate model foundation for subsequent response spectrum analysis and damping ratio iteration based on displacement-type energy dissipators, significantly improving the efficiency and accuracy of vibration reduction design.

[0112] Step S7: Obtaining the initial additional damping ratio of the displacement-type damping structure: In one feasible embodiment, step S7 includes: Step S71, construct the displacement-type damping structure model: Using the equivalent yield force and equivalent elastic stiffness of each displacement-type energy dissipator output in step S6, the viscous energy dissipator in the viscous damping structure is replaced with a displacement-type energy dissipator with equivalent yield force and equivalent elastic stiffness to obtain the displacement-type damping structure model. Step S72: Perform structural analysis on the displacement-type damping structure model using modal decomposition response method: The displacement-type vibration reduction structural model constructed in step S71 is analyzed by modal decomposition response spectrum method. The natural period and mode shape of the structure are obtained by solving the eigenvalue problem. Then, combined with the seismic influence coefficient curve, the inter-story displacement, component internal force and other response quantities under each mode shape are calculated. Step S73: Obtain the initial additional damping ratio of the displacement-type damping structure based on the energy method: Using the inter-story displacement and component internal forces obtained in step S72, the energy dissipation of each displacement-type energy dissipator in one vibration cycle and the total strain energy of the displacement-type damping structure under seismic action are obtained respectively. Based on the energy dissipation of each displacement-type energy dissipator and the total strain energy, the initial additional damping ratio is obtained.

[0113] In one feasible embodiment, step S73 includes: The energy consumed by the displacement-type energy dissipator during one cycle under horizontal seismic action can be obtained by the following formula (40): (40) in, For the first The restoring force hysteresis loop of the energy dissipator in relative horizontal displacement Area at time; The energy consumed by a displacement-type energy dissipator in one vibration cycle; The total strain energy of the displacement-type damping structure under horizontal seismic loading is obtained by the following equation (41): (41) in, For the first Horizontal seismic force on each lateral force resisting component; For the first The horizontal displacement of the point of action corresponding to each lateral force resisting member; Total strain energy; The initial additional damping ratio is obtained by the following equation (42): (42) in, This is the initial additional damping ratio for a displacement-type damping structure; This represents the total number of displacement-type energy dissipators.

[0114] This invention replaces the original viscous energy dissipator with an equivalent displacement-type energy dissipator to modify the vibration reduction structural analysis model. It then performs iterative response spectrum analysis until the equivalent additional damping ratios for each vibration mode of the structure meet the required conditions. The vibration reduction structural model can then relatively accurately reflect the actual working performance of the viscous energy dissipator. This method achieves precise equivalence of the stiffness and energy dissipation characteristics of the viscous energy dissipator in response spectrum analysis, effectively improving the calculation accuracy of the viscous energy dissipator vibration reduction structure.

[0115] The energy dissipation structure analysis method based on response spectrum iteration described in this invention establishes a non-damping main structure analysis model (uncontrolled model, non-energy dissipation structure model), determines the planar layout of the viscous energy dissipator in the building, calculates the response spectrum of the viscous energy dissipator damping model, and judges whether the initial estimated additional damping ratio of the energy method response spectrum iteration meets the expected additional damping ratio. Based on the structural model parameters of the viscous energy dissipator and the results of the response spectrum iteration calculation, it determines the damping coefficient, damping exponent, structural period, maximum displacement, and parameters such as the yield force adjustment coefficient and yield displacement adjustment coefficient of the equivalent displacement energy dissipator determined by iteration. Based on the principle of similarity of geometric characteristics between the energy dissipation equivalence and restoring force models, the viscous energy dissipator in the model is converted into an equivalent displacement type energy dissipator, solving the problem of inaccurate stiffness of the viscous energy dissipator in response spectrum analysis. By iteratively adjusting the stiffness parameters of the equivalent displacement type energy dissipator, the stress on the damping structure in the response spectrum analysis is made closer to the real situation, effectively improving the calculation accuracy. This method is of great significance for the correct establishment of the viscous energy dissipator damping structure model and the equivalent elastic analysis.

[0116] Figure 9 This is a schematic diagram of a block diagram of an embodiment of the energy dissipation structure analysis system based on reaction spectrum iteration described in this invention, as shown below. Figure 9 As shown, the energy dissipation structure analysis system 10 includes a structural model construction unit 1, a response spectrum analysis unit 2, a expected additional damping ratio acquisition unit 3, a viscous energy dissipator setting parameter acquisition unit 4, a restoring force model construction unit 5, a mapping unit 6, a total damping ratio update unit 7, a judgment unit 8, and an output unit 9. The structural model construction unit 1 is configured to build a non-energy dissipation structural model; based on the viscous energy dissipator setting parameters obtained by the viscous energy dissipator setting parameter acquisition unit 4, the viscous energy dissipator is implanted into the non-energy dissipation structural model to build a viscous damping structural model; based on the displacement energy dissipator obtained by the mapping unit 6, the viscous energy dissipator in the damping structural model is replaced to build a displacement damping structural model. The response spectrum analysis unit 2 is configured to perform response spectrum analysis on the non-energy dissipation structural model, viscous damping structural model, displacement damping structural model constructed by the structural model construction unit 1, and the displacement damping structural model updated by the total damping ratio update unit 7. This allows for the acquisition of non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action, viscous energy dissipation response parameters, and the initial and updated additional damping ratios of the displacement damping structural model. The non-energy dissipation response parameters include one or more of inter-story displacement, base shear force, natural period, and mode shape parameters. The setting parameters include the type, quantity, and installation location of the viscous energy dissipators. The type includes one or more of damping coefficient and damping exponent. The viscous energy dissipation response parameters include the natural period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. The expected additional damping ratio obtaining unit 3 is configured to determine the expected additional damping ratio of the energy dissipation and damping structure based on the non-energy dissipation response coefficient obtained by the response spectrum analysis unit 2 and its corresponding seismic performance target, wherein the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; The viscous energy dissipator setting parameter acquisition unit 4 is configured to preliminarily determine the setting parameters of the viscous energy dissipator based on the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit 3, combined with the structural planar layout and vertical stiffness distribution. The setting parameters include the model, quantity, and installation position of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. The restoring force model construction unit 5 is configured to construct a restoring force model of the viscous energy dissipation device based on the viscous energy dissipation response parameters obtained by the structural model construction unit 1. The mapping unit 6 is configured to map the viscous energy dissipator into a displacement type energy dissipator based on the restoring force model constructed by the restoring force model construction unit 5, according to the principle of energy consumption equivalence and geometric feature similarity of the restoring force model. The total damping ratio update unit 7 is configured to iteratively update the total damping ratio of the displacement damping structure model based on the initial additional damping ratio of the displacement damping structure model obtained by the response spectrum analysis unit 2, thereby updating the displacement damping structure model. The judgment unit 8 determines whether the tolerance of the updated additional damping ratio obtained by the response spectrum analysis unit 2 relative to the additional damping ratio of the previous iteration is less than a set tolerance threshold; if the tolerance is not less than the set tolerance threshold, it sends an iteration signal to the total damping update unit; if the tolerance is less than the set tolerance threshold, it determines whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit 3; if the updated additional damping ratio is less than the expected additional damping ratio, it sends a parameter update signal to the viscous energy dissipator setting parameter acquisition unit 4; if the updated additional damping ratio is not less than the expected additional damping ratio, it sends an output signal to the output unit 9. Output unit 9 is configured to output the damping structure design corresponding to the output signal, the damping structure design including one or more of the following: additional damping ratio, setting parameters of viscous energy dissipator and viscous damping structure model.

[0117] In one feasible embodiment, the reaction spectrum analysis unit 2 includes: The non-energy dissipation structure analysis module 21 is configured to perform response spectrum analysis on the non-energy dissipation structure model constructed by the structural model construction unit 1 to obtain the non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action; The viscous damping structure analysis module 22 is configured to perform response spectrum analysis on the viscous damping structure model constructed by the structural model construction unit 1 to obtain viscous energy dissipation response parameters. The displacement-type damping structure analysis module 23 is configured to perform response spectrum analysis on the displacement-type damping structure model constructed by the structural model construction unit 1 and the displacement-type damping structure model updated by the total damping ratio update unit 7, so as to obtain the initial additional damping ratio and the updated additional damping ratio of the displacement-type damping structure model, respectively.

[0118] This invention solves the technical problem in the prior art of fragmented analysis models for different types of energy dissipators (viscous and displacement types), and the inability to perform coherent performance verification and iterative optimization of damping ratio based on the principles of energy dissipation equivalence and geometric similarity of restoring force models, through the iterative cooperation of the non-energy dissipation structure analysis module 21, the viscous damping structure analysis module 22, and the displacement damping structure analysis module 23. First, the non-energy dissipation structure analysis module 21 calculates the basic response parameters of the structure, providing a benchmark for energy dissipator placement. Then, the viscous damping structure analysis module 22 analyzes the energy dissipation characteristics of the viscous energy dissipator based on this benchmark to determine the design parameters. Finally, the displacement damping structure analysis module 23 receives the displacement model after equivalent transformation, calculates the equivalent additional damping ratio in the initial stage, and performs another analysis after adjusting the parameters in the total damping ratio update unit 7 to obtain the updated damping ratio, thus forming a closed-loop verification process of "analysis-transformation-reanalysis". This invention achieves seamless connection and data transfer between velocity-dependent (viscous) and displacement-dependent (displacement) energy dissipator analysis models, ensuring consistency in energy dissipation performance before and after equivalent replacement. Furthermore, it accurately quantifies the change in additional damping ratio through multiple rounds of response spectrum analysis, avoiding design deviations caused by model conversion in traditional methods. This significantly improves the accuracy of vibration reduction structure design, the efficiency of the entire process analysis, and the controllability of the final structure's seismic performance.

[0119] In one feasible embodiment, the viscous damping structure analysis module 22 includes: The zero-damping modal analysis unit 221 is configured to solve the eigenvalues ​​of the viscous damping structure model under the zero-damping mode with an additional damping ratio of 0, so as to obtain the natural frequency and mode shape of the viscous damping structure, and thus obtain the natural period and mode shape vector of the viscous damping structure. Inter-story displacement acquisition unit 222 is configured to obtain the inter-story displacement of each floor based on the natural vibration period and mode shape obtained by the zero-damped modal analysis unit 221, combined with the response spectrum. The maximum displacement response acquisition unit 223 is configured to calculate the relative maximum displacement response at both ends of each viscous energy dissipator based on the inter-layer displacements obtained by the inter-layer displacement acquisition unit 222, combined with the viscous energy dissipator installation geometric parameters and support stiffness relationship obtained by the viscous energy dissipator setting parameter acquisition unit 4, through geometric projection principle.

[0120] This invention precisely solves the technical problems in the prior art of neglecting the influence of the installation geometry parameters and support stiffness of the energy dissipator in the analysis of viscous damping structures, failing to accurately calculate the actual relative displacement at both ends of the energy dissipator, and resulting in large deviations in the calculation of damping force and energy dissipation by adopting a chain analysis logic of "modal feature extraction - inter-story displacement calculation - energy dissipator relative displacement inversion". The zero-damping modal analysis unit 221 of this invention first solves the eigenvalues ​​of the viscous damping structure model to obtain the structure's natural period and mode shape vector, providing a modal basis for response spectrum analysis. The inter-story displacement acquisition unit calculates the inter-story displacement of each floor based on the modal parameters and the design response spectrum, determining the overall deformation distribution of the structure. The maximum displacement response acquisition unit further combines the installation geometric parameters of the energy dissipator (such as installation angle and position) with the support stiffness relationship, and uses the geometric projection principle to invert the inter-story displacement of the floors into the actual relative maximum displacement response at both ends of the energy dissipator, realizing a precise mapping from the overall deformation of the structure to the local deformation of the energy dissipator. This invention ensures the accuracy of the structural modal parameters through zero-damping modal analysis, and accurately calculates the actual relative displacement of the energy dissipator through geometric projection and support stiffness correction, avoiding the calculation errors caused by ignoring installation parameters in traditional methods. It provides reliable input data for the subsequent accurate design of the damping coefficient and maximum output of the viscous energy dissipator, significantly improving the accuracy of damping structure analysis and the scientific nature of the design.

[0121] In one feasible embodiment, the displacement-type damping structure analysis module 23 includes: Structural analysis unit 231 is configured to perform structural analysis on the displacement-type damping structure model using the modal decomposition response method to obtain the inter-story displacement and component internal forces of the displacement-type damping structure under each mode. The initial additional damping ratio acquisition unit 232 is configured to obtain the energy dissipation of each displacement type energy dissipator in one vibration cycle and the total strain energy of the displacement type damping structure under seismic action by using the inter-story displacement and component internal forces obtained by the structural analysis unit 231, and obtain the initial additional damping ratio based on the energy dissipation of each displacement type energy dissipator and the total strain energy.

[0122] This invention solves the technical problem in the prior art of performing refined energy analysis on displacement-type damping structures and accurately quantifying the energy dissipator's contribution to the overall energy consumption of the structure (i.e., the additional damping ratio) by leveraging the synergistic effect of the structural analysis unit 231 and the initial additional damping ratio acquisition unit 232. The structural analysis unit 231 first uses the modal decomposition response spectrum method to perform refined analysis on the displacement-type damping structure model, obtaining inter-story displacements and component internal forces under each mode, providing basic data for energy calculation. The initial additional damping ratio acquisition unit 232 then calculates the energy dissipation of each displacement-type energy dissipator within one vibration cycle and the total strain energy of the entire structure under seismic loading based on this data. The initial additional damping ratio is then accurately obtained through the ratio of these two values, thereby quantitatively evaluating the damping effect. This invention not only achieves accurate capture of the seismic response of complex structures through modal decomposition response spectrum method, but also establishes a quantitative correlation between the energy dissipation of the energy dissipator and the total strain energy of the structure through energy ratio method, avoiding the errors caused by traditional empirical estimation, and providing accurate initial basis for subsequent updates of total damping ratio and model iteration, significantly improving the scientific nature, calculation accuracy and engineering reliability of seismic reduction structure design.

[0123] In one feasible embodiment, the additional damping ratio obtaining part 3 is expected to include: The seismic performance target acquisition module 31 is configured to determine the seismic performance target of the energy dissipation and damping structure based on one or more of the following: structural type, seismic fortification intensity, function and code requirements. The additional damping ratio prediction module 32 is configured to adjust the total damping of the energy dissipation and damping structure based on the comparison between the non-energy dissipation response parameters and the seismic performance target, thereby determining the expected additional damping ratio required for the energy dissipation and damping structure.

[0124] This invention solves the technical problems in existing technologies, such as the lack of clear performance target guidance in the design of energy dissipation and vibration reduction structures, the reliance on empirical estimation for determining the expected additional damping ratio, and the resulting disconnect between design results and actual seismic requirements, through the synergistic effect of the seismic performance target acquisition module 31 and the additional damping ratio prediction module 32. The seismic performance target acquisition module 31 first determines specific seismic performance targets (such as inter-story drift angle limits and base shear reduction ratios) based on the structural type, seismic intensity, functional requirements, and code requirements, providing a quantitative benchmark for design. The additional damping ratio prediction module 32 then compares the response parameters (such as inter-story drift and base shear) obtained from non-energy dissipation structure analysis with these performance targets, and uses adjustments to the total damping ratio to inversely deduce the expected additional damping ratio required to meet the performance targets, achieving precise reverse derivation from performance requirements to design parameters. This invention ensures the relevance and compliance of the design results through clear performance target constraints, and achieves scientific calculation of the expected additional damping ratio through comparative analysis of response parameters and targets. This avoids the blindness of traditional empirical values ​​and provides an accurate performance benchmark for subsequent energy dissipator parameter design and model iteration, significantly improving the scientific nature, accuracy and engineering practicality of vibration reduction structure design.

[0125] In one feasible embodiment, the additional damping ratio expectation module 32 includes: The target reduction factor acquisition unit 321 is configured to determine the target reduction factor based on non-energy dissipation response parameters and seismic performance indicators; Initialization unit 322 is configured to set the initial value of the total damping ratio; The response parameter acquisition unit 323 is configured to keep the non-energy dissipation structure model unchanged, only modify the total damping ratio to the initial value, and send the response spectrum analysis signal to the response spectrum analysis unit to obtain the response parameters of the energy dissipation and vibration reduction structure. The current reduction factor acquisition unit 324 is configured to obtain the current reduction factor based on the response parameters of the energy dissipation and damping structure obtained by the response parameter acquisition unit 323 and the non-energy dissipation response parameters of the non-energy dissipation and damping structure obtained by the response spectrum analysis unit 2. The deviation judgment unit 325 is configured to determine whether the deviation of the current reduction coefficient obtained by the current reduction coefficient obtaining unit 324 relative to the target reduction coefficient obtained by the target reduction coefficient obtaining unit 321 is within a set deviation range; if the deviation is not within the deviation range, an adjustment signal is sent to the initialization unit 322 to adjust the initial value of the total damping ratio; if the deviation is within the deviation range, an invention signal is sent to the anticipation unit 326. The expected unit 326 is configured to obtain the expected additional damping ratio by utilizing the total damping ratio that satisfies the deviation within the deviation range and the damping ratio of the non-energy-dissipating structure.

[0126] This invention solves the technical problems in the prior art where the determination of the expected additional damping ratio depends on empirical calculations, lacks an automated and accurate verification mechanism, and results in low matching degree between the design results and performance targets, and poor efficiency, through the closed-loop iterative cooperation of the target reduction coefficient acquisition unit 321, initialization unit 322, response parameter acquisition unit 323, current reduction coefficient acquisition unit 324, deviation judgment unit 325, and expectation unit 326. The target damping ratio acquisition unit 321 of this invention first determines the target damping ratio based on the non-energy dissipation response parameters and seismic performance indicators, and the initialization unit 322 sets the initial value of the total damping ratio. The response parameter acquisition unit 323 performs response spectrum analysis based on the initial value to obtain the response parameters of the energy dissipation and vibration reduction structure, and the current damping ratio acquisition unit 324 calculates the current damping ratio accordingly. The deviation judgment unit 325 compares the deviation between the current damping ratio and the target damping ratio. If it exceeds the set range, it sends an adjustment signal to the initialization unit 322 to correct the initial value of the total damping ratio. The above analysis-calculation-comparison process is repeated until the deviation meets the requirements. Finally, the expectation unit 326 calculates the accurate expected additional damping ratio using the total damping ratio that meets the deviation requirements and the damping ratio of the non-energy dissipation structure. This invention achieves automatic and accurate adjustment of the total damping ratio through a closed-loop iterative mechanism, avoiding the tediousness and errors of manual trial calculations. It also ensures a strict match between the expected additional damping ratio and the performance target through deviation judgment, significantly improving the efficiency, accuracy, and automation level of vibration reduction structure design.

[0127] In one feasible embodiment, the viscous energy dissipator setting parameter acquisition unit 4 includes: The total energy demand acquisition module 41 is configured to obtain the total energy required by all viscous energy dissipators in one vibration cycle based on the non-energy dissipation response parameters obtained by the response spectrum analysis unit 2 and the expected additional damping of the energy dissipation and damping structure obtained by the expected additional damping ratio acquisition unit 3. The energy distribution module 42 is configured to distribute the total energy to each layer based on the total energy demand obtained by the total energy demand obtained by the module 41, and in combination with the vertical stiffness distribution and planar arrangement of the non-energy dissipation structure, obtain the energy required for each layer; and obtain the target energy consumption of the viscous energy dissipator based on the preset number of viscous energy dissipators. The model acquisition module 43 is configured to obtain the damping coefficient required to meet the target energy consumption and natural vibration period of a single viscous energy dissipator obtained by the energy distribution module 42, thereby obtaining the model of the viscous energy dissipator. The installation location acquisition module 44 is configured to obtain the damping coefficient and estimated maximum velocity of the viscous energy dissipator based on the model of the viscous energy dissipator obtained by the model acquisition module 43, thereby obtaining the maximum output of the viscous energy dissipator; and compare the maximum output of the viscous energy dissipator with the nodal bearing capacity of the non-energy dissipation structure to obtain the arrangement location of the viscous energy dissipator that does not exceed the nodal bearing capacity limit.

[0128] This invention solves the technical problems in the prior art of viscous energy dissipator parameter design by cascading and coordinating the total energy demand acquisition module 41, energy distribution module 42, model acquisition module 43 and installation location acquisition module 44. These problems include the lack of systematic energy distribution logic in the design of viscous energy dissipators, the difficulty in balancing energy consumption demand and the load-bearing capacity of the main structural nodes, the need for repeated adjustments to the design results, and the risk of local structural damage. The total energy demand acquisition module 41 of this invention first calculates the total energy consumption demand of all viscous energy dissipators based on the non-energy dissipation response parameters and the expected additional damping ratio, providing a macroscopic energy benchmark for design. The energy distribution module 42 combines the vertical stiffness distribution and planar layout of the non-energy dissipation structure to rationally distribute the total energy to each floor, and then determines the target energy consumption of a single energy dissipator according to the preset arrangement quantity, realizing refined energy allocation. The model acquisition module 43 back-calculates the required damping coefficient based on the target energy consumption and the natural vibration period of the structure, thereby determining the model of the energy dissipator and completing the conversion from energy demand to component parameters. The installation position acquisition module 44 calculates the maximum output of the energy dissipator according to the model and compares it with the nodal bearing capacity of the non-energy dissipation structure to select the arrangement position that does not exceed the bearing capacity limit, ensuring the coordinated work of the energy dissipator and the main structure. This invention achieves precise allocation of energy demand through a hierarchical distribution logic of "total energy - floor energy - individual energy dissipator energy". It also balances the energy consumption efficiency of the energy dissipator and the safety of the main structure through dual verification of model determination and location selection. This avoids repeated modifications caused by blind selection of parameters and locations in traditional designs, and significantly improves the scientificity, accuracy and engineering practicality of viscous energy dissipator design.

[0129] In one feasible embodiment, the restoring force model construction unit 5 includes: The maximum relative velocity acquisition module 51 is configured to calculate the maximum relative velocity of the viscous energy dissipator under the design earthquake based on the natural period and maximum displacement response obtained by the response spectrum analysis unit 2 and simple harmonic motion. The damping coefficient acquisition module 52 is configured to obtain the damping coefficient required for each layer of viscous energy dissipator based on the maximum relative velocity obtained by the maximum relative velocity acquisition module 51 and the expected additional damping ratio obtained by the additional damping ratio expectation module 32, combined with the velocity index and energy demand. The maximum output acquisition module 53 is configured to obtain the maximum output of each layer of viscous energy dissipator under the design conditions based on the maximum relative velocity obtained by the maximum relative velocity acquisition module 51 and the damping coefficient obtained by the damping coefficient acquisition module 52, through the power law constitutive equation of the viscous energy dissipator. The restoring force model construction module 54 is configured to establish a time-varying restoring force model based on the maximum output of the viscous energy dissipator obtained by the maximum output module; The hysteresis curve generation module 55 is configured to combine the restoring force model constructed by the restoring force model construction module 54 with the maximum displacement response, and obtain the mapping relationship between output force and displacement by eliminating the time variable, thereby generating the hysteresis curve.

[0130] This invention solves the technical problems in the prior art of making it difficult to establish a restoring force model of a viscous energy dissipator that strictly matches the design seismic conditions, and of being unable to intuitively quantify its nonlinear energy dissipation characteristics (hysteresis performance) through the coordinated operation of the maximum relative velocity acquisition module 51, the damping coefficient acquisition module 52, the maximum output force acquisition module 53, the restoring force model construction module 54, and the hysteresis curve generation module 55. The maximum relative velocity acquisition module 51 of this invention calculates the maximum relative velocity of the energy dissipator under the design earthquake based on the natural period and the maximum displacement response using the simple harmonic motion theory, providing a benchmark for subsequent parameter calculations; the damping coefficient acquisition module 52 combines this velocity, the expected additional damping ratio, the velocity exponent, and the energy demand to back-calculate the damping coefficient required for each layer of the energy dissipator; the maximum output force acquisition module 53 uses the power-law constitutive equation to calculate the maximum output force of the energy dissipator under the design conditions based on the maximum relative velocity and the damping coefficient; the restoring force model construction module 54 constructs a time-varying restoring force model based on the maximum output force; and the hysteresis curve generation module 55 establishes a mapping relationship between output force and displacement by eliminating the time variable and combining the restoring force model and the maximum displacement response, generating a hysteresis curve. This invention ensures the accuracy of the restoring force model parameters through a progressive calculation of "velocity-coefficient-output" and intuitively reflects the nonlinear energy dissipation mechanism of the energy dissipator through the hysteresis curve, avoiding the errors of traditional linear simplified models. It provides a high-precision constitutive basis for the nonlinear time history analysis and performance evaluation of vibration reduction structures, significantly improving the scientific nature and reliability of the design.

[0131] In one feasible embodiment, the mapping unit 6 includes: The single-cycle consumption acquisition module 61 is configured to obtain the energy consumed by the viscous energy dissipator in one vibration cycle by using the restoring force model constructed by the restoring force model construction unit 5 and the maximum displacement response of the viscous energy dissipator obtained by the response spectrum analysis unit 2. The energy analysis module 62 is configured to equal the maximum displacement of the displacement-type energy dissipator to the maximum displacement of the viscous energy dissipator obtained by the reaction spectrum analysis unit 2, and to establish a functional relationship between the single-cycle energy consumption of the displacement-type energy dissipator and its equivalent yield force. The mechanical performance analysis module 63 is configured to, based on the principle of similarity of geometric characteristics of energy dissipation equivalence and restoring force model, obtain the same energy dissipation of the viscous energy dissipator obtained by the single-cycle energy consumption acquisition module 61 as that of the displacement energy dissipator, construct the energy balance equation, thereby obtaining the equivalent yield force, and using Hooke's law to obtain the equivalent elastic stiffness.

[0132] This invention solves the technical problems in the prior art where viscous energy dissipators (velocity-dependent type) and displacement-dependent energy dissipators (displacement-dependent type) are difficult to directly replace due to their different physical mechanisms, and the lack of a unified energy quantification standard leads to large deviations in the calculation of equivalent parameters (equivalent yield force, equivalent elastic stiffness). The single-cycle energy consumption acquisition module 61 of this invention first uses the restoring force model and the maximum displacement response to calculate the actual energy consumption of the viscous energy dissipator in one vibration cycle, providing an energy benchmark for equivalent conversion; the energy analysis module 62 sets the maximum displacement of the displacement type energy dissipator to be consistent with that of the viscous energy dissipator, establishes a functional relationship between the single-cycle energy consumption of the displacement type energy dissipator and its equivalent yield force, and constructs the energy expression of the equivalent model; the mechanical performance analysis module 63, based on the principle of similarity of geometric characteristics between the energy consumption equivalence and the restoring force model, establishes an energy balance equation by making the single-cycle energy consumption of the two equal, solves for the equivalent yield force, and then uses Hooke's law to calculate the equivalent elastic stiffness, completing the accurate parameter conversion from viscous to displacement type. This invention eliminates the differences in physical mechanisms between different types of energy dissipators by using the principle of similar geometric characteristics of energy dissipation equivalence and restoring force models, ensuring the consistency of the overall energy dissipation capacity of the structure after equivalent replacement. Furthermore, it achieves accurate calculation of equivalent parameters through clear functional relationships and equation solving, avoiding the blindness and errors of traditional empirical replacement. This provides an accurate model basis for subsequent response spectrum analysis and additional damping ratio calculation based on displacement-type energy dissipators, significantly improving the scientific nature of vibration reduction structure design and the coherence of the entire process analysis.

[0133] Figure 10 A schematic diagram of an application scenario of the energy dissipation structure analysis method based on reaction spectrum iteration described in this invention is shown.

[0134] exist Figure 10In the application scenario, the computing device 100 establishes a non-energy-dissipating structure model 101 and uses response spectrum analysis to obtain the non-energy-dissipating response parameters 102 of the non-energy-dissipating structure under the target seismic action. Then, based on the non-energy-dissipating response parameters and their corresponding seismic performance targets, the computing device 100 determines the expected additional damping ratio 103 of the energy-dissipating and damping structure, and determines the setting parameters 104 of the viscous energy dissipator by combining the structural planar layout and vertical stiffness distribution. Based on the setting parameters, each viscous energy dissipator is implanted into the non-energy-dissipating structure model to form a viscous damping structure model 105. Afterwards, the computing device 100 constructs a restoring force model 106 of the viscous energy dissipator based on the viscous energy dissipation response parameters. Based on the restoring force model, according to the principle of energy dissipation equivalence and geometric feature similarity of the restoring force model, the viscous energy dissipator is equivalently mapped to a displacement-type energy dissipator. Finally, the computing device 100 replaces the viscous energy dissipator in the damping structure model with a displacement-type energy dissipator to form a displacement-type damping structure model 107. The initial additional damping ratio of the displacement-type damping structure model is obtained by response spectrum analysis. The total damping ratio is updated using the initial additional damping ratio. The updated additional damping ratio is obtained by response spectrum analysis on the displacement-type damping structure model after updating the total damping ratio. The required additional damping ratio 108 is obtained by comparing the updated additional damping ratio of adjacent iterations and comparing it with the expected additional damping ratio, thereby obtaining the viscous damping structure 109 corresponding to the required additional damping ratio.

[0135] This invention solves the technical problems in existing technologies by constructing a full-process collaborative mechanism of "performance target orientation—initial design of viscous model—energy equivalent conversion—closed-loop iteration of displacement model," which leads to design fragmentation due to differences in physical mechanisms between viscous and displacement-type energy dissipators, the inability to achieve seamless model replacement while ensuring performance consistency, and the large deviation between design results and expected targets due to the lack of closed-loop verification. First, based on the response spectrum analysis results and seismic performance targets of the non-energy dissipation structure model, this invention accurately determines the expected additional damping ratio and completes the parameter design and model implantation of the viscous energy dissipator in conjunction with the structural layout characteristics. Then, using the principle of similarity between the restoring force model and the energy dissipation equivalence and the geometric characteristics of the restoring force model, the viscous energy dissipator is accurately mapped to a displacement-type energy dissipator, achieving lossless replacement of different types of energy dissipators. Finally, through a closed-loop process of "initial additional damping ratio calculation—total damping ratio update—iterative analysis—dual comparison (adjacent iteration values ​​and expected values)," the displacement-type vibration reduction structure model is continuously optimized until the required additional damping ratio is obtained. This invention achieves scientific conversion between different types of energy dissipators through energy equivalence, avoiding redundancy in repeated modeling and parameter calculations. Furthermore, it ensures strict matching between the final design results and performance targets through closed-loop iterative verification, significantly improving the coherence, accuracy, and automation level of vibration reduction structure design.

[0136] It should be noted that the aforementioned computing device 100 can be either hardware or software. When the computing device 100 is hardware, it can be implemented as a distributed cluster consisting of multiple servers or terminal devices, or as a single server or a single terminal device. When the computing device 100 is software, it can be installed in the hardware devices listed above. It can be implemented as, for example, multiple software programs or software modules used to provide distributed services, or as a single software program or software module. No specific limitations are made here.

[0137] Figure 11 This diagram illustrates another application scenario of the energy dissipation structure analysis method based on reaction spectrum iteration described in this invention.

[0138] exist Figure 11 In the application scenario, the components of the computing device 100 include, but are not limited to, a memory 110 and a processor 120. The processor 120 is connected to the memory 110 via a bus 130, and may also include a database 150 for storing data.

[0139] The computing device 100 also includes an access device 140 that enables the computing device 100 to communicate via one or more networks 160. Examples of these networks include Public Switched Telephone Network (PSTN), Local Area Network (LAN), Wide Area Network (WAN), Personal Area Network (PAN), or combinations of communication networks such as the Internet. The access device may include one or more of any type of wired or wireless network interface (e.g., a network interface controller (NIC)), such as a Wireless Local Area Network (WLAN) interface, a Wi-MAX (Worldwide Interoperability for Microwave Access) interface, an Ethernet interface, a Universal Serial Bus (USB) interface, a cellular network interface, a Bluetooth interface, or a Near Field Communication (NFC) interface.

[0140] In one embodiment of the present invention, the above-mentioned components of the computing device 100 and Figure 11 Other components, not shown, can also be connected to each other, for example, via a bus. It should be understood that... Figure 11The structural block diagram of the computing device 100 shown is for illustrative purposes only and is not intended to limit the scope of the invention. Those skilled in the art can add or replace other components as needed.

[0141] The computing device 100 can be any type of stationary or mobile computing device 100, including mobile computers or mobile computing devices 100 (e.g., tablet computers, personal digital assistants, laptop computers, notebook computers, netbooks, etc.), mobile phones (e.g., smartphones), wearable computing devices 100 (e.g., smartwatches, smart glasses, etc.) or other types of mobile devices, or stationary computing devices 100 such as desktop computers or personal computers (PCs). The computing device 100 can also be a mobile or stationary server.

[0142] The processor executes the following computer-executable instructions, which, when executed by the processor, implement the steps of the above-described energy dissipation structure analysis method based on reaction spectrum iteration. The above is a schematic representation of a computing device 100 according to this embodiment. It should be noted that the technical solution of this computing device 100 and the technical solution of the above-described energy dissipation structure analysis method based on reaction spectrum iteration belong to the same concept. Details not described in detail in the technical solution of the computing device 100 can be found in the description of the technical solution of the above-described energy dissipation structure analysis method based on reaction spectrum iteration.

[0143] The present invention also provides a computer-readable storage medium storing computer-executable instructions that, when executed by a processor, implement the steps of the above-described method for energy dissipation structure analysis based on reaction spectrum iteration.

[0144] The above is an illustrative embodiment of the computer-readable storage medium described in this invention. It should be noted that the technical solution of this storage medium belongs to the same concept as the technical solution of the energy dissipation structure analysis method based on reaction spectrum iteration described above. Details not described in detail in the technical solution of the storage medium can be found in the description of the technical solution of the energy dissipation structure analysis method based on reaction spectrum iteration described above.

[0145] The present invention also provides a computer program, wherein when the computer program is executed in a computer, the computer is instructed to perform the steps of the above-described method for energy dissipation structure analysis based on reaction spectrum iteration.

[0146] The above is an illustrative scheme of the computer program described in this invention. It should be noted that the technical solution of this computer program belongs to the same concept as the technical solution of the above-described energy dissipation structure analysis method based on reaction spectrum iteration. Details not described in detail in the computer program's technical solution can be found in the description of the above-described technical solution of the energy dissipation structure analysis method based on reaction spectrum iteration.

[0147] The foregoing has described specific embodiments of the invention. Other embodiments are within the scope of the appended claims. In some cases, the actions or steps described in the claims may be performed in a different order than that shown in the embodiments and may still achieve the desired results. Furthermore, the processes depicted in the drawings do not necessarily require the specific or sequential order shown to achieve the desired results. In some embodiments, multitasking and parallel processing are also possible or may be advantageous.

[0148] It should be noted that, for the sake of simplicity, the foregoing method embodiments are all described as a series of actions. However, those skilled in the art should understand that the embodiments of the present invention are not limited to the described order of actions, because according to the embodiments of the present invention, some steps can be performed in other orders or simultaneously. Furthermore, those skilled in the art should also understand that the embodiments described in the specification are preferred embodiments, and the actions and modules involved are not necessarily essential to the embodiments of the present invention.

[0149] In the above embodiments, the descriptions of each embodiment have different focuses. For parts not described in detail in a certain embodiment, please refer to the relevant descriptions of other embodiments.

[0150] The preferred embodiments of the present invention disclosed above are merely illustrative of the invention. The optional embodiments do not exhaustively describe all details, nor do they limit the invention to the specific implementations described. Clearly, many modifications and variations can be made based on the embodiments of the present invention. These embodiments are selected and specifically described to better explain the principles and practical applications of the present invention, thereby enabling those skilled in the art to better understand and utilize the present invention.

Claims

1. A method for analyzing energy dissipation structures based on reaction spectrum iteration, characterized in that, include: Non-energy dissipation structure analysis steps: Establish a non-energy dissipation structure model and perform response spectrum analysis to obtain the non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action. The non-energy dissipation response parameters include one or more of the following: inter-story displacement, base shear force, natural period, and mode shape parameters. The expected additional damping ratio determination steps are as follows: Based on the non-energy dissipation response parameters and their corresponding seismic performance targets, the expected additional damping ratio of the energy dissipation and damping structure is determined. The seismic performance targets include the inter-story drift angle limit and / or the base shear force reduction ratio. Steps for obtaining viscous energy dissipator setting parameters: Based on the structural plan layout, vertical stiffness distribution, and expected additional damping ratio of the energy dissipation and vibration reduction structure, the setting parameters of the viscous energy dissipator are initially determined. The setting parameters include the model, quantity, and installation location of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. Steps for obtaining viscous energy dissipation response parameters: Based on the setting parameters of the viscous energy dissipators, each viscous energy dissipator is implanted into the non-energy dissipation structure model to form a viscous damping structure model. Response spectrum analysis is performed on the viscous damping structure model to obtain viscous energy dissipation response parameters. The viscous energy dissipation response parameters include the natural vibration period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. Steps for constructing the restoring force model: Construct a restoring force model for the viscous energy dissipation device based on the viscous energy dissipation response parameters; Equivalent mapping steps: Based on the restoring force model of the viscous energy dissipator, according to the principle of energy consumption equivalence and geometric feature similarity of the restoring force model, the viscous energy dissipator is equivalently mapped to a displacement type energy dissipator; Steps for obtaining the initial additional damping ratio of the displacement-type damping structure: Replace the viscous energy dissipator in the damping structure model with a displacement-type energy dissipator to form a displacement-type damping structure model, and obtain the initial additional damping ratio of the displacement-type damping structure model by response spectrum analysis. Update steps: Update the total damping ratio of the displacement damping structure model based on the initial additional damping ratio of the displacement damping structure model, and perform response spectrum analysis on the updated displacement damping structure model to obtain the updated additional damping ratio. Judgment steps: Determine whether the tolerance of the updated additional damping ratio relative to the initial additional damping ratio of the displacement-type damping structure model is less than the set tolerance threshold. If the tolerance is not less than the set tolerance threshold, the updated additional damping ratio is returned to the update step as the initial additional damping ratio, and the iteration continues. If the tolerance is less than the set tolerance threshold, determine whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio. If the updated additional damping ratio is less than the expected additional damping ratio, return to the viscous energy dissipator setting parameter acquisition step; If the updated additional damping ratio is not less than the expected additional damping ratio, then the additional damping ratio and the corresponding setting parameters of the viscous energy dissipator are output.

2. The energy dissipation structure analysis method according to claim 1, characterized in that, The steps for determining the expected additional damping ratio include: Steps for determining seismic performance targets: Determine the seismic performance targets of the energy dissipation and vibration reduction structure based on one or more of the following: structural type, seismic fortification intensity, service function, and code requirements; Additional damping ratio prediction step: Based on the comparison between the non-energy dissipation response parameters and the seismic performance target, adjust the total damping of the energy dissipation and damping structure to determine the expected additional damping ratio required for the energy dissipation and damping structure.

3. The energy dissipation structure analysis method according to claim 2, characterized in that, The additional damping ratio expected step includes: The target reduction factor is determined based on non-energy dissipation response parameters and seismic performance indicators; Set the initial value for the total damping ratio; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the response parameters of the energy-dissipating and vibration-damping structure; The current reduction factor is obtained based on the response parameters of the energy dissipation and damping structure relative to the non-energy dissipation response parameters of the non-energy dissipation and damping structure. Determine whether the deviation of the current reduction factor from the target reduction factor is within the set deviation range; If the deviation is not within the deviation range, and the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of the total damping ratio and increase the initial value of the total damping ratio; if the current reduction factor is less than the target reduction factor, return to the step of setting the initial value of the total damping ratio and decrease the initial value of the total damping ratio. If the deviation is within the deviation range, the expected additional damping ratio is obtained by using the total damping ratio that satisfies the deviation being within the deviation range and the damping ratio of the non-energy-dissipating structure. Or / and, the additional damping ratio expected step includes: The target reduction factor is obtained based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle; The current reduction factor is obtained based on the current maximum inter-story drift angle of the energy dissipation and damping structure relative to the maximum inter-story drift angle of the non-energy dissipation and damping structure. Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained, and the expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure. Or / and, the additional damping ratio expected step includes: The target reduction factor is obtained based on the reduction ratio of base shear force in the seismic performance target: Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current base shear force; The current reduction factor is obtained based on the current base shear force and the base shear force of the non-energy dissipation structure. Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained, and the expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure. Or / and, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. The smaller value between the target displacement reduction factor and the target shear force reduction factor is selected as the target reduction factor, and the maximum inter-story drift angle or base shear force corresponding to the target reduction factor is selected as the target parameter. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current value of the target parameter; Calculate the current displacement reduction factor and the current shear force reduction factor based on the current maximum inter-story drift angle and the current base shear force, respectively. The current reduction factor is obtained based on the current value of the target parameter and the value of the target parameter of the non-energy-dissipating structure; Compare the current reduction factor with the target reduction factor: If the current reduction factor is greater than the target reduction factor, return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is greater than the deviation threshold, then return to the step of setting the initial value of the total damping and reduce the initial value of the total damping. If the current reduction factor is less than the target reduction factor and the deviation of the current reduction factor from the target reduction factor is less than the deviation threshold, the expected total damping ratio is obtained, and the expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure. Or / and, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle and the current base shear force; Calculate the current displacement reduction factor and the current shear force reduction factor using the current maximum inter-story drift angle and the current base shear force, respectively. Determine whether the current displacement reduction factor is not greater than the target displacement reduction factor and whether the current shear force reduction factor is not greater than the target shear force reduction factor: If the current displacement reduction factor is greater than the target displacement reduction factor and / or the current shear force reduction factor is greater than the target shear force reduction factor, then return to the step of setting the initial value of total damping and increase the initial value of total damping; If the current displacement reduction factor is not greater than the target displacement reduction factor and the current shear force reduction factor is not greater than the target shear force reduction factor, the expected total damping ratio is obtained. The expected additional damping ratio is obtained by using the expected total damping ratio and the damping ratio of the non-energy dissipation structure. Or / and, the additional damping ratio expected step includes: The displacement target reduction factor is determined based on the maximum inter-story drift angle and the inter-story drift angle limit of the non-energy dissipation structure; the shear force target reduction factor is obtained based on the reduction ratio of the base shear force in the seismic performance target. Set the initial value for total damping; Keeping the non-energy-dissipating structure model unchanged, only modifying the total damping ratio to the initial value, recalculating the response spectrum, and obtaining the current maximum inter-story drift angle and the current base shear force; Calculate the current displacement reduction factor and the current shear force reduction factor using the current maximum inter-story drift angle and the current base shear force, respectively. Determine whether the maximum value of the displacement ratio of the current displacement reduction coefficient relative to the target displacement reduction coefficient and the shear ratio of the current shear force reduction coefficient relative to the target shear force reduction coefficient is not greater than 1; If the maximum value is greater than 1, return to the step of setting the initial value of the total damping and increase the initial value of the total damping; If the maximum value is not greater than 1, the expected total damping ratio is obtained, and the expected additional damping ratio is obtained using the expected total damping ratio and the damping ratio of the non-energy dissipation structure.

4. The energy dissipation structure analysis method according to claim 1, characterized in that, The steps for obtaining the parameters of the viscous energy dissipator include: The total energy required by all viscous energy dissipators in one vibration cycle is obtained based on the non-energy dissipation response parameters and the expected additional damping of the energy dissipation and damping structure. Based on the total energy demand, and combined with the vertical stiffness distribution and planar layout of the non-energy-dissipating structure, the total energy is distributed to each layer to obtain the energy required by each layer. The target energy consumption of the viscous energy dissipator is obtained based on the preset number of viscous energy dissipators. Based on the target energy dissipation and natural vibration period of a single viscous energy dissipator, the damping coefficient required to meet the target energy dissipation is obtained, thereby obtaining the model of the viscous energy dissipator. The maximum output of the viscous energy dissipator is obtained based on the damping coefficient of the viscous energy dissipator and the estimated maximum velocity. Compare the maximum output of the viscous energy dissipator with the nodal bearing capacity of the non-energy dissipation structure: If the node's load-bearing capacity limit is exceeded, adjust the number of nodes or their installation locations, return to the steps for obtaining the energy required for each floor, and redistribute the total energy. If the bearing capacity limit of the node is not exceeded, the placement location of the viscous energy dissipator is obtained.

5. The energy dissipation structure analysis method according to claim 1, characterized in that, The steps for obtaining the viscous energy dissipation response parameters include: Based on the parameters of the viscous energy dissipator, the equivalent linear connection unit corresponding to the viscous energy dissipator is implanted into the non-energy dissipation structure model to construct a viscous damping structure model. Modal decomposition response spectrum analysis was performed on the viscous damping structure model to obtain the viscous energy dissipation response parameters corresponding to the maximum displacement response.

6. The energy dissipation structure analysis method according to claim 1, characterized in that, The steps for constructing the resilience model include: Using the natural period and maximum displacement response, the maximum relative velocity of the viscous energy dissipator under the design earthquake is calculated based on simple harmonic motion. By combining the preset velocity index and the energy demand corresponding to the expected additional damping ratio, the damping coefficient required for each layer of viscous energy dissipator is calculated. After determining the damping coefficient and the maximum relative velocity, the power-law constitutive equation of the viscous energy dissipator is directly substituted into the equation to calculate the maximum instantaneous damping force that each layer of the viscous energy dissipator may generate under the design conditions. Based on the maximum output of the viscous energy dissipator, a time-varying restoring force model is established. Combined with the maximum displacement response, the mapping relationship between output and displacement is obtained by eliminating the time variable, and a hysteresis curve is generated. Or / and, the restoring force model construction steps include: Construct a restoring force model for a viscous energy dissipator; Obtain the hysteresis curve of the viscous energy dissipator.

7. The energy dissipation structure analysis method according to claim 1, characterized in that, The equivalent mapping step includes: The energy consumed by the viscous energy dissipator in one vibration cycle is analyzed using the restoring force model and the maximum displacement response of the viscous energy dissipator. By setting the maximum displacement of the displacement-type energy dissipator equal to the maximum displacement of the viscous energy dissipator, a functional relationship is established between the single-cycle energy consumption of the displacement-type energy dissipator and its equivalent yield force, thus obtaining the energy consumed by the displacement-type energy dissipator in one vibration cycle. Based on the principle of similarity of geometric characteristics of energy dissipation equivalence and restoring force model, the energy dissipation of viscous energy dissipator is the same as that of displacement energy dissipator, and the energy balance equation is obtained, thereby obtaining the equivalent yield force. Hooke's law is used to obtain the equivalent elastic stiffness. Or / and, the equivalent mapping step includes: Based on the principle of similarity in geometric features of energy dissipation equivalence and restoring force model, the equivalent mapping between viscous energy dissipator and displacement energy dissipator is realized; Or / and, the equivalent mapping step includes: The maximum displacement of the displacement-type energy dissipator is obtained based on the fact that the maximum displacement of the displacement-type energy dissipator is equal to that of the viscous energy dissipator. Based on the proportional relationship between the displacement of the displacement energy dissipator and the maximum displacement of the viscous energy dissipator, as well as the proportional relationship between the output force of the displacement energy dissipator and the maximum output force of the viscous energy dissipator, the displacement and output force of the displacement energy dissipator are constructed, thereby constructing the energy consumption of the displacement energy dissipator. Based on the fact that the energy consumption of the displacement-type energy dissipator is equal to that of the viscous energy dissipator, a proportional relationship is obtained, thereby obtaining the restoring force model of the displacement-type energy dissipator.

8. The energy dissipation structure analysis method according to claim 1, characterized in that, The steps for obtaining the initial additional damping ratio of the displacement-type damping structure include: By utilizing the equivalent yield force and equivalent elastic stiffness corresponding to each displacement-type energy dissipator, the viscous energy dissipator in the viscous damping structure is replaced with a displacement-type energy dissipator having equivalent yield force and equivalent elastic stiffness, thus obtaining a displacement-type damping structure model. The modal decomposition response spectrum method is used to analyze the displacement-type vibration reduction structure model. By solving the eigenvalue problem, the natural period and mode shape of the structure are obtained. Then, combined with the seismic influence coefficient curve, the response quantities under each mode shape are calculated. The response quantities include inter-story displacement and component internal forces. The energy dissipation of each displacement-type energy dissipator in one vibration cycle and the total strain energy of the displacement-type damping structure under seismic loading are obtained by using inter-story displacement and internal forces of components, respectively. The initial additional damping ratio is obtained based on the energy dissipation of each displacement-type energy dissipator and the total strain energy.

9. A system for analyzing energy dissipation structures based on reaction spectrum iteration, characterized in that, It includes a structural model construction section, a response spectrum analysis section, a section for obtaining the expected additional damping ratio, a section for obtaining the viscous energy dissipator setting parameters, a restoring force model construction section, a mapping section, a total damping ratio update section, a judgment section, and an output section. The structural model construction unit is configured to build a non-energy dissipation structural model; based on the viscous energy dissipator setting parameters obtained by the viscous energy dissipator setting parameter acquisition unit, the viscous energy dissipator is implanted into the non-energy dissipation structural model to construct a viscous damping structural model; based on the displacement energy dissipator obtained by the mapping unit, the viscous energy dissipator in the damping structural model is replaced to construct a displacement damping structural model. The response spectrum analysis unit is configured to perform response spectrum analysis on the non-energy dissipation structural model, viscous damping structural model, displacement damping structural model constructed by the structural model construction unit, and the displacement damping structural model updated by the total damping ratio update unit. This allows for the acquisition of non-energy dissipation response parameters of the non-energy dissipation structure under the target earthquake action, viscous energy dissipation response parameters, and the initial and updated additional damping ratios of the displacement damping structural model. The non-energy dissipation response parameters include one or more of inter-story displacement, base shear force, natural period, and mode shape parameters. The setting parameters include the type, quantity, and installation location of the viscous energy dissipators. The type includes one or more of damping coefficient and damping exponent. The viscous energy dissipation response parameters include the natural period of the energy dissipation and damping structure, inter-story displacement, and the maximum displacement response of each viscous energy dissipator. The expected additional damping ratio obtaining unit is configured to determine the expected additional damping ratio of the energy dissipation and damping structure based on the non-energy dissipation response coefficient obtained by the response spectrum analysis unit and its corresponding seismic performance target, wherein the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; the seismic performance target includes an inter-story drift angle limit and / or a base shear reduction ratio; The viscous energy dissipator setting parameter acquisition unit is configured to preliminarily determine the setting parameters of the viscous energy dissipator based on the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit, combined with the structural planar layout and vertical stiffness distribution. The setting parameters include the model, quantity, and installation location of the viscous energy dissipator; the model includes one or more of damping coefficient and damping exponent. The restoring force model construction unit is configured to construct the restoring force model of the viscous energy dissipation device based on the viscous energy dissipation response parameters obtained by the structural model construction unit. The mapping unit is configured to map the viscous energy dissipator into a displacement-type energy dissipator based on the restoring force model construction unit's restoring force model, according to the principles of energy dissipation equivalence and geometric feature similarity of the restoring force model. The total damping ratio update unit is configured to iteratively update the total damping ratio of the displacement damping structure model based on the initial additional damping ratio of the displacement damping structure model obtained by the response spectrum analysis unit, thereby updating the displacement damping structure model. The judgment unit determines whether the tolerance of the updated additional damping ratio obtained by the response spectrum analysis unit relative to the additional damping ratio of the previous iteration is less than a set tolerance threshold; if the tolerance is not less than the set tolerance threshold, it sends an iteration signal to the total damping update unit; if the tolerance is less than the set tolerance threshold, it determines whether the updated additional damping ratio corresponding to the tolerance being less than the set tolerance threshold is not less than the expected additional damping ratio obtained by the expected additional damping ratio acquisition unit; if the updated additional damping ratio is less than the expected additional damping ratio, it sends a parameter update signal to the viscous energy dissipator setting parameter acquisition unit; if the updated additional damping ratio is not less than the expected additional damping ratio, it sends an output signal to the output unit. The output section is configured to output the additional damping ratio corresponding to the output signal and the setting parameters of the corresponding viscous energy dissipator.

10. A computing device, characterized in that, include: Memory and processor; The memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions, which, when executed by the processor, implement the steps of the energy dissipation structure analysis method based on reaction spectrum iteration as described in any one of claims 1 to 8.

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