A method for quickly calculating structural additional damping ratio of pier-type energy absorber

Abstract

The present application relates to the field of structural design in construction engineering, and particularly relates to a kind of structure additional damping ratio fast calculation method of pier type energy absorber, comprising the following steps: S1: establishing structure non-damping model, carry out the calculation of specified horizontal force working condition under fortification level;Extract frame node displacement result, calculate the initial deformation [delta 0 ] of each layer of structure each span;According to energy absorber arrangement scheme, with "1" indicating that the span is provided with energy absorber, with "0" indicating that the span is not provided with energy absorber, form [sign] matrix;S2: calculate the deformation [delta F ] caused by energy absorber counterforce;S3: calculate energy absorber energy dissipation and structure total strain energy, obtain additional damping ratio floor shear [F], inter-story drift [u] and energy absorber initial deformation [delta 0 ] under given energy absorber arrangement scheme;[delta 0 ], [F], [u] are obtained by multiplying structure response reduction factor η with non-damping model calculation result;Update [delta 0 ], [F], [u], repeat step S2 to step S3, until additional damping ratio error is less than preset error convergence value, complete calculation, output structure additional damping ratio of pier type energy absorber.

Description

Technical Field

[0001] This invention relates to the field of structural design in building engineering, and in particular to a rapid calculation method for the additional damping ratio of a structure with a support-type energy dissipator. Background Technology

[0002] Energy dissipation and vibration reduction technology increases structural damping by installing energy dissipators at specific locations within a building structure. This effectively dissipates seismic energy, reduces the structure's response to earthquakes, and thus improves the building's seismic safety. The vibration reduction effect of energy dissipators can generally be assessed by measuring the additional damping ratio.

[0003] Based on their different energy dissipation mechanisms, energy dissipators can be divided into two main categories: velocity-type energy dissipators and displacement-type energy dissipators.

[0004] 1) Velocity-type energy dissipators are typically made of viscous or viscoelastic materials. Under seismic cyclic loading, they utilize the properties of these materials to dissipate seismic energy. The seismic energy dissipated by the energy dissipator is related to the velocity of its deformation. The mechanical behavior of velocity-type energy dissipators, represented by viscous energy dissipators, can be described using the Maxwell model:

[0005]

[0006] In the formula: For the first j The output of a viscous energy dissipator The velocity index of the viscous energy dissipator. C The damping coefficient of the viscous energy dissipator. For the speed of the energy dissipator, sgn ( ) represents the sign function. This refers to the energy consumed by the energy dissipator during one reciprocating cycle under the expected deformation. The value is related to the damping exponent and can be taken from the "Technical Specification for Energy Dissipation and Vibration Reduction of Buildings" (JGJ297-2013). For the first j The maximum output of each energy dissipator under corresponding horizontal seismic action. For the first j The maximum relative horizontal displacement at both ends of the energy dissipator.

[0007] 2) Displacement-type energy dissipators are typically made of materials with good plastic deformation properties. Under seismic cyclic loading, they dissipate seismic energy through their excellent plastic hysteresis energy dissipation capacity. The seismic energy dissipated by the energy dissipator is related to the amount of deformation of the energy dissipator. The mechanical behavior of displacement-type energy dissipators can generally be described by a bilinear model:

[0008]

[0009] In the formula: For the first jThe output of a viscous energy dissipator , These are the stiffnesses of the displacement-type energy dissipator before and after yielding, respectively. For the first j The relative horizontal displacement at both ends of the energy dissipator This represents the yield displacement of the energy dissipator. For the yield force of the energy dissipator, This refers to the energy consumed by the energy dissipator during one reciprocating cycle under the expected deformation.

[0010] There are three common methods for calculating the additional damping ratio: the "standard method", the "energy method" which compares energy curves, and the "structural response comparison method" which compares the dynamic response of the structure.

[0011] 1) Normative Law

[0012] Article 12.3.4 of the "Code for Seismic Design of Buildings" (GB50011-2010) and Article 6.3.2 of the "Technical Specification for Energy Dissipation and Vibration Reduction of Buildings" (JGJ297-2013) state that the additional effective damping ratio provided by energy dissipation components can be calculated using the following formula:

[0013]

[0014] In the formula: The additional effective damping ratio of the energy dissipation and vibration reduction structure; For the first j Each energy dissipation component at the expected maximum displacement The energy consumed in one cycle; It represents the total strain energy of the energy dissipation and vibration reduction structure under horizontal seismic loading.

[0015] Neglecting the effects of structural torsion, the total strain energy of the energy dissipation and damping structure under horizontal seismic loading is... It can be calculated using the following formula:

[0016]

[0017] In the formula: For point mass i Standard value of horizontal seismic action; For point mass i The displacement corresponds to the standard value of horizontal seismic action. In practice, it can be taken as the product of the standard value of story shear force and the standard value of inter-story displacement under horizontal seismic action, or the product of the standard value of inter-story shear force and the standard value of story displacement.

[0018] 2) Energy method

[0019] The energy method is based on the linear relationship between the energy consumption of each part of the structure and its own damping. Based on the inherent damping ratio of the structure, the energy consumption corresponding to the inherent damping ratio, and the energy consumption of the energy dissipator, the damping ratio added to the structure by the energy dissipator can be calculated using the following formula.

[0020]

[0021] In the formula: The inherent damping ratio of the structure (5% for concrete structures, 2% for steel structures, and a total damping ratio needs to be calculated for mixed structures based on the material). This represents the energy consumed corresponding to the inherent damping ratio of the structure. Energy is consumed by the energy dissipator.

[0022] 3) Structural response comparison method

[0023] The structural response comparison method determines the additional damping ratio of an energy dissipation and vibration reduction structure by comparing the equivalent dynamic responses of the structure. Specifically, a model with an energy dissipator is compared with a group of models without energy dissipators but with different damping ratios. The same time history function is applied to each model for dynamic time history analysis. The dynamic responses of the structures (such as story shear force, story displacement, and top displacement) are compared. The model without energy dissipator that most closely matches the response of the model with energy dissipator is identified. The damping ratio of this model is considered the total damping ratio of the model with energy dissipator. Subtracting the inherent damping ratio of the structure yields the effective damping ratio added to the structure by the energy dissipator.

[0024] The three existing methods for calculating the additional damping ratio all require establishing a corresponding seismic analysis model based on the energy dissipator arrangement scheme, selecting seismic waves for dynamic time history analysis according to specifications, extracting analysis data to calculate the additional damping ratio generated by the energy dissipator under that arrangement scheme, and are all a posteriori calculation methods. The calculation process of the three schemes is complex, the steps are cumbersome, the data volume is large, the efficiency is low, and the calculation results are highly correlated with the selected seismic waves. Summary of the Invention

[0025] The purpose of this invention is to overcome the problems of low efficiency and uncertainty in the traditional methods for calculating additional damping ratio in the prior art, and to provide a rapid method for calculating the additional damping ratio of a structure with a support-type energy dissipator.

[0026] In the first aspect,

[0027] This invention provides a rapid calculation method for the additional damping ratio of a structure with a support-type energy dissipator, comprising the following steps:

[0028] S1: Establish a non-damping structural model and perform calculations for the specified horizontal force conditions under the design waterproof level; extract the frame node displacement results and calculate the initial deformation of each floor and span of the structure according to the following formula. ;

[0029]

[0030] In the formula, , These are the horizontal displacement and angular displacement of the nodes, respectively. The heights of the upper and lower supports of the energy dissipator are given. A, B, C, and D are the four frame node numbers corresponding to the energy dissipator installation in this span. The difference in horizontal displacement between the energy dissipator layers. , These are the corners of the frame beams at the corresponding positions of the upper and lower supports of the proposed energy dissipator;

[0031] According to the energy dissipator layout scheme, "1" indicates that an energy dissipator is installed in the span, and "0" indicates that no energy dissipator is installed in the span, forming... Matrix, initializing the deformation caused by the energy dissipator reaction force. , , and All are three-dimensional matrices, with the matrix dimension being the number of axis numbers. number of floors The number of spans and the initial additional damping ratio are ;

[0032] S2: Calculate the deformation caused by the energy dissipator reaction force. ;

[0033] Based on geometric relationships and the constitutive mechanism of the energy dissipator, for a displacement-type energy dissipator, the deformation caused by the energy dissipator reaction force is calculated using the following formula:

[0034]

[0035] In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation The stiffness of the energy dissipator after yielding. For yield displacement, For yield force, For the first i Height of layer energy dissipator support, For the first k Axis No. i Layer j cross-frame beam b Linear stiffness, For the firstk Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation of the frame beam support pier position, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator;

[0036] The velocity-type energy dissipator is solved using an iterative method based on the following equations;

[0037]

[0038] In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation To calculate the first frequency of the directional structure, To calculate the correction factor for the maximum output of the viscous energy dissipator, The damping coefficient of the viscous energy dissipator. The velocity index of the viscous energy dissipator. For the first i Height of layer energy dissipator support, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator For the first k Axis No. i Layer j cross-frame beam b Linear stiffness, For the first k Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation angle at the support pier position of the frame beam;

[0039] S3: Consider additional damping ratio correction;

[0040] Calculate the energy dissipation of the energy dissipator and the total strain energy of the structure to obtain the additional damping ratio under a given energy dissipator arrangement. ;

[0041] Floor shear Inter-story displacement and the initial deformation of the energy dissipator All results are calculated by multiplying the non-damping model results by the structural response reduction factor. get;

[0042] renew , , , Repeat steps S2 to S3 until the additional damping ratio is reached. , The error is less than the preset error convergence value. This indicates the calculation of the additional damping ratio for one iteration. Once the calculation is complete, the additional damping ratio of the structure with the pier-type energy dissipator is output.

[0043] Preferably, in S1 , It is calculated using the following formula:

[0044] Assume that the distance from point E, where the support is located, to the end is... The corner is The bending moment at the pier location is According to the equation for the rotational displacement of a beam, we have:

[0045]

[0046] In the formula, i Beam stiffness considering the effect of floor slab stiffness, , The difference in vertical displacement between the two ends of the beam. l For the beam span, , These are the end angular displacements, , These are the end bending moments;

[0047] Then, by integrating the equation of the beam's deflection curve, we obtain... ;

[0048]

[0049] In the formula, EI For bending stiffness;

[0050] The rotation angle at any point in the beam is the distance from the end. The quadratic function has a maximum turning angle at the inflection point, where:

[0051] ,

[0052] Maximum turning angle is .

[0053] Preferably, for a general frame beam, the inflection point can be simplified to the mid-span, taking x=1 / 2, then the mid-span rotation angle is given by the following formula.

[0054]

[0055]

[0056] In the formula, a negative value indicates that the direction of rotation of the support is opposite to the direction of rotation of the node.

[0057] Preferably, in step S2, the solution is... Depends on neighboring layers , Solve the system of equations.

[0058] Preferably, in step S2, the following steps are performed: Initialize to zero, and set non-zero i layer j Using the deformation of the span as a known quantity, solve for the unique unknown quantity. .

[0059] Preferably, in step S3, the additional damping ratio under a given energy dissipator arrangement scheme for a displacement-type energy dissipator is... The calculation method is as follows:

[0060]

[0061] In the formula, For the first i layer j Maximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition;

[0062]

[0063] In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

[0064] Preferably, in S3, the additional damping ratio under a given energy dissipator arrangement scheme for a velocity-type energy dissipator is... The calculation method is as follows:

[0065]

[0066]

[0067] In the formula, For the first i layer j Maximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition. It is a function related to the damping exponent;

[0068]

[0069] In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

[0070] Preferably, in S3, the structural response reduction factor The expression is:

[0071]

[0072] In the formula, For the additional damping ratio, T This represents the first period of the structure in the direction of energy dissipation. The characteristic period is denoted as .

[0073] Preferably, in step S3, the preset error convergence value is less than or equal to 0.01%.

[0074] Secondly,

[0075] This invention provides a structure for an energy dissipator with supports, and uses any of the above-described methods for rapid calculation of the additional structural damping ratio of an energy dissipator with supports to determine the additional structural damping ratio generated by the energy dissipator.

[0076] Thirdly,

[0077] The present invention provides a computing device, including at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform any of the methods described above for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator.

[0078] In the fourth aspect,

[0079] The present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a method for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator as described above.

[0080] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0081] 1. The present invention provides a method for rapid calculation of the additional damping ratio of a structure with a pier-type energy dissipator. By decomposing the deformation of the energy dissipator under seismic loading into the initial deformation without the energy dissipator and the indirect deformation considering the reaction force of the energy dissipator, the actual deformation of the energy dissipator under a given energy dissipator arrangement can be calculated based on the analysis results of the non-damping model, thereby calculating the additional damping ratio generated by the energy dissipator under the arrangement.

[0082] 2. The present invention provides a rapid calculation method for the additional damping ratio of a structure with a pier-type energy dissipator. It eliminates the need to establish a seismic analysis model based on the energy dissipator layout scheme or to perform dynamic time history analysis using seismic waves. Based on the parameters of the energy dissipator to be selected, the additional damping ratio corresponding to the energy dissipator layout scheme can be calculated quickly. The calculation results are deterministic, highly operable, and easy to promote, thus improving the design efficiency of seismic isolation structures using pier-type energy dissipators. It can serve as an alternative method for calculating the additional damping ratio generated by the pier-type energy dissipator from static conditions. Attached image description:

[0083] Figure 1 This is a structural and mechanical analysis model diagram of a pier-type energy dissipator.

[0084] Figure 2 This is an exploded view of the deformation of a support-type energy dissipator.

[0085] Figure 3 The diagram shows the beam's deflection curve and bending moment.

[0086] Figure 4 Flowchart for calculating the additional damping ratio.

[0087] Figure 5 This is a floor plan of the building.

[0088] Figure 6 The elevation layout scheme for the energy dissipator along the A / E axis.

[0089] Figure 7 This is a comparison chart of the selected seismic wave spectrum and the standard spectrum. Detailed Implementation

[0090] The present invention will now be described in further detail with reference to specific embodiments. However, this should not be construed as limiting the scope of the present invention to the following embodiments; all technologies implemented based on the content of the present invention fall within the scope of the present invention.

[0091] Unless otherwise specified, the use of terms such as "upper," "lower," "left," "right," "center," "inner," and "outer" to indicate orientation or positional relationships in the description of specific embodiments of the present invention is based on the orientation or positional relationships shown in the accompanying drawings, or the orientation or positional relationship in which the product / equipment / device is typically placed during use. These terms are merely for the purpose of facilitating the description of the present invention or simplifying the description in specific embodiments, enabling those skilled in the art to quickly understand the solution, and do not indicate or imply that a particular device / component / element must have a specific orientation, or be constructed and operated in a specific positional relationship. Therefore, they should not be construed as limitations on the present invention.

[0092] Furthermore, the use of terms such as "horizontal," "vertical," "suspended," and "parallel" does not imply that the corresponding device / component / element must be absolutely horizontal, vertical, suspended, or parallel, but rather that it can be slightly tilted or have a deviation. For example, "horizontal" merely means that its direction is more horizontal relative to "vertical," not that the structure must be completely horizontal, but that it can be slightly tilted. Alternatively, it can be simplified to mean that the corresponding device / component / element, when set in a "horizontal," "vertical," "suspended," or "parallel" direction, can have an error / deviation of ±10% relative to the corresponding direction, more preferably within ±8%, more preferably within ±6%, more preferably within ±5%, and more preferably within ±4%. As long as the corresponding device / component / element is within the error / deviation range, it can still achieve its function in the present invention.

[0093] Furthermore, the use of terms such as "first," "second," and "third" in terminology is merely for distinguishing between identical or similar components and should not be interpreted as emphasizing or implying the relative importance of a particular component.

[0094] Furthermore, in the description of the embodiments of the present invention, "several", "more than", and "a number of" represent at least two. The number can be any number, such as two, three, four, five, six, seven, eight, or nine, and can even exceed nine.

[0095] Furthermore, in the description of the technical solution of this invention, unless otherwise explicitly specified / limited / restricted, the terms "set up," "install," "connect," "link," "provided with," "laid out," and "arranged" should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to common connection methods in the art, such as welding, riveting, bolting, and threaded connections. Such connections can be mechanical, electrical, or communication connections; they can be direct connections or indirect connections through an intermediate medium; and they can refer to the internal communication between two components.

[0096] Example 1

[0097] Pier-type energy dissipators are a common type of energy dissipator connection. The energy dissipator is connected to the main structural frame beams via upper and lower piers. It is widely used because it can be integrated with building walls, has minimal impact on building function, and provides good vibration damping. In a typical pier-type energy dissipator, the upper and lower piers are connected to the frame beams respectively. Since the piers have high stiffness in the deformation direction of the energy dissipator, the deformation of the piers themselves is generally ignored. Its structural and mechanical analysis model can be found in [reference needed]. Figure 1 .

[0098] A rapid calculation method for the additional damping ratio of a structure with a support-type energy dissipator includes the following steps:

[0099] S1: Establish a non-damping structural model and perform calculations for the specified horizontal force conditions under the design waterproof level.

[0100] In specific implementation methods, common structural design software (PKPM / YJK / ETABS) can be used to establish a non-damping model of the structure, and the specified horizontal force conditions under the design waterproof level can be calculated in accordance with the "Code for Seismic Design of Buildings" (GB50011-2010).

[0101] Extract the frame node displacement results and calculate the initial deformation of each span of each floor of the structure according to the following formula. ;

[0102]

[0103] In the formula, , These are the horizontal displacement and angular displacement of the nodes, respectively. The heights of the upper and lower supports of the energy dissipator are given. A, B, C, and D are the four frame node numbers corresponding to the energy dissipator installation in this span. The difference in horizontal displacement between the energy dissipator layers. , These are the corners of the frame beams at the corresponding positions of the upper and lower supports of the proposed energy dissipator.

[0104] The deformation δ of the energy dissipator under seismic loading can be mainly divided into three parts: 1) Inter-story deformation caused by the difference in horizontal displacement between the upper and lower nodes. ;2) Deflection of the frame beam caused by vertical displacement difference and angular displacement at both ends. 3) Deflection of the frame beam caused by the reaction force of the energy dissipator ,Right now: .

[0105] like Figure 2 As shown, the sum of the deformations of the first two parts is defined as the "initial deformation". The displacement can be calculated from the nodal displacements of the non-damped model under a specified horizontal force; the third part is deformation. The initial deformation caused by the reaction force of the energy dissipator The reverse "indirect deformation" is related to the linear stiffness of the frame beams and the stiffness of the energy dissipator. The larger the deformation value of the energy dissipator, the better the energy dissipation effect. The higher the value, the better the potential energy dissipation capacity after installing an energy dissipator at that location; The larger the value, the smaller the ratio of the frame beam stiffness to the energy dissipator stiffness, the smaller the actual deformation of the energy dissipator, and the worse the energy dissipation capacity of the energy dissipator at that location.

[0106] In the specific implementation method, the , It can be calculated using the following methods:

[0107] The deflection curve and bending moment diagram of the beam with angular displacement and vertical deformation difference at both ends are shown in the figure. Figure 3 .

[0108] Assume that the distance from point E, where the support is located, to the end is... The corner is The bending moment at the pier location is According to the equation for the rotational displacement of a beam, we have:

[0109]

[0110] In the formula, i Beam stiffness considering the effect of floor slab stiffness, , The difference in vertical displacement between the two ends of the beam. l For the beam span, , These are the end angular displacements, , These are the end bending moments;

[0111] Then, by integrating the equation of the beam's deflection curve, we obtain... ;

[0112]

[0113] In the formula, EI For bending stiffness;

[0114] The rotation angle at any point in the beam is the distance from the end. The quadratic function has a maximum turning angle at the inflection point, where:

[0115] ,

[0116] Maximum turning angle is .

[0117] For a typical frame beam, the inflection point can be simplified to mid-span, taking x = 1 / 2. The mid-span rotation angle is then given by the following formula.

[0118]

[0119]

[0120] In the formula, a negative value indicates that the rotation direction of the pier is opposite to that of the node. Therefore, the greater the inter-story drift difference and the beam end angular displacement, the greater the initial deformation; the smaller the vertical drift difference at the beam end (with a sign), the greater the initial deformation.

[0121] Based on the above formulas, the initial deformation of the proposed energy dissipators in each floor and span can be obtained from the frame node displacements under a specified horizontal force condition using the non-damping model. .

[0122] Coding: According to the energy dissipator layout scheme, "1" indicates that an energy dissipator is installed in this span, and "0" indicates that no energy dissipator is installed in this span, forming... Matrix, initializing the deformation caused by the energy dissipator reaction force. , , and All are three-dimensional matrices, with the matrix dimension being the number of axis numbers. number of floors The number of spans and the initial additional damping ratio are .

[0123] S2: Calculate the deformation caused by the energy dissipator reaction force. ;

[0124] Based on geometric relationships and the constitutive mechanism of the energy dissipator, for a displacement-type energy dissipator, the deformation caused by the energy dissipator reaction force is calculated using the following formula:

[0125]

[0126] In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation The stiffness of the energy dissipator after yielding. For yield displacement, For yield force, For the first i Height of layer energy dissipator support, For the firstk Axis No. i Layer j cross-frame beam b Linear stiffness, For the first k Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation of the frame beam support pier position, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator;

[0127] The velocity-type energy dissipator is solved using an iterative method based on the following equations;

[0128]

[0129] In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation To calculate the first frequency of the directional structure, To calculate the correction factor for the maximum output of the viscous energy dissipator, The damping coefficient of the viscous energy dissipator. The velocity index of the viscous energy dissipator. For the first i Height of layer energy dissipator support, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator For the first k Axis No. i Layer j cross-frame beam b Linear stiffness, For the first k Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation of the frame beam support pier position.

[0130] Whether it is a displacement-type energy dissipator or a velocity-type energy dissipator, the solution... Depends on neighboring layers , Therefore, a system of equations can be used to solve it. Alternatively, [the system of equations can be used to solve it]. Initialize to zero, and set non-zero i layer j Using the deformation of the span as a known quantity, solve for the unique unknown quantity. .

[0131] S3: Consider additional damping ratio correction;

[0132] Calculate the energy dissipation of the energy dissipator and the total strain energy of the structure to obtain the additional damping ratio under a given energy dissipator arrangement. .

[0133] In specific implementation methods, depending on the type of energy dissipator and given its actual deformation, the maximum output force can be calculated using the mechanical constitutive models of displacement-type and velocity-type energy dissipators, respectively. Then, the energy dissipation of the energy dissipator and the total structural strain energy can be calculated using standard formulas, thereby obtaining the additional damping ratio under a given energy dissipator arrangement. .

[0134] For a displacement-type energy dissipator, given an energy dissipator arrangement scheme, the additional damping ratio is... The calculation method is as follows:

[0135]

[0136] In the formula, For the first i layer j Maximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition;

[0137]

[0138] In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

[0139] For a velocity-type energy dissipator, given an energy dissipator arrangement scheme, the additional damping ratio is... The calculation method is as follows:

[0140]

[0141]

[0142] In the formula, For the first i layer jMaximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition. It is a function related to the damping exponent;

[0143]

[0144] In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

[0145] After considering the additional damping ratio generated by the energy dissipator, the seismic response of the structure will be reduced, thus decreasing the story shear force. Inter-story displacement and the initial deformation of the energy dissipator All results are calculated by multiplying the non-damping model results by the structural response reduction factor. get.

[0146] In the specific implementation, the structural response reduction factor The expression can be:

[0147]

[0148] In the formula, For the additional damping ratio, T This represents the first period of the structure in the direction of energy dissipation. The characteristic period is denoted as .

[0149] Iterative calculation, such as Figure 4 As shown:

[0150] renew , , , Repeat steps S2 to S3 until the additional damping ratio is reached. , If the error is less than the preset error convergence value, the calculation is completed, and the additional damping ratio of the structure with the support type energy dissipator is output. , These represent the calculated additional damping ratios for the initial and first iterations, respectively. Typically, the preset error convergence value should be less than or equal to 0.01%.

[0151] The present invention also provides a structure of an energy dissipator with a support, wherein the additional structural damping ratio generated by the energy dissipator is determined by any of the aforementioned methods for rapidly calculating the additional structural damping ratio of an energy dissipator with a support.

[0152] The present invention also provides a computing device, including at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform any of the methods described above for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator.

[0153] The present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements any of the methods described above for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator.

[0154] Example 2

[0155] This embodiment is a specific application of Embodiment 1. Specifically, a 10-story frame structure is built in the ETABS software, and the floor plan is shown below. Figure 5 Located in a seismic intensity zone of 7 degrees (0.1g), the first floor has a height of 6m, and the other floors have a height of 3.9m. The beam cross-section is 300mm. All columns are 700mm thick and constructed with C30 concrete; the column cross-section is 800mm. 800mm~500mm 500mm, using C50~C30 concrete. Taking the X direction as an example, it is proposed to symmetrically arrange pier-type energy dissipators on the A and E axes of the structure, and use displacement type and velocity type energy dissipators for vibration reduction design respectively.

[0156] Energy dissipator parameters are shown in Tables 1 and 2, and the energy dissipator facade layout scheme is shown in Tables 1 and 2. Figure 6 .

[0157] Table 1 Mechanical parameters of displacement type energy dissipator

[0158] Yield force / kN Yield displacement / mm Pre-yield stiffness / (kN / mm) Post-yield stiffness / (kN / mm) 100 1.0 100 2.5

[0159] Table 2 Mechanical parameters of velocity-type energy dissipators

[0160]

[0161] The first three periods of the non-damping model are T 1 = 1.74s(Y), T 2 = 1.63s(X), T3 = 1.54s(T). According to the rapid calculation method for the additional damping ratio of the structure with pier-type energy dissipator described in this invention, the analysis of the specified horizontal force condition under moderate earthquake is carried out, the nodal displacement results are extracted to calculate the initial deformation of each floor and each span, the actual deformation of the proposed energy dissipator is calculated by coding each energy dissipator arrangement scheme, and the additional damping ratio under each scheme arrangement is calculated according to the standard formula, which is used as the calculation result of the "SHF-C" method.

[0162] In ETABS, only the nonlinearity of the energy dissipator is considered in the dynamic time history analysis, and the additional damping ratio generated by the energy dissipator in each scheme is calculated according to the standard method as the calculation result of the "TH-C" method. According to the requirements of the "Code for Seismic Design of Buildings" (GB50011-2010), 5 natural waves and 2 artificial waves are selected. The seismic wave spectrum at the fundamental period point is compared with the standard response spectrum. Figure 7 The comparison of seismic wave base shear is shown in Table 3, and all meet the requirements of the code.

[0163] Table 3. Seismic wave X-direction base shear force check (kN)

[0164] CQC RH2 RH4 TH037 TH049 TH056 TH090 TH119 Mean 8488 8052 10322 8575 7981 7073 8536 8917 8494 Ratio 95% 122% 101% 94% 83% 101% 105% 100%

[0165] The results of calculating the additional damping ratio using displacement-type and velocity-type energy dissipators, according to the facade layout scheme of each energy dissipator, are shown in Tables 4 and 5 respectively.

[0166] Table 4 Comparison of Additional Damping Ratio Results for Displacement-Type Energy Dissipators

[0167] Scheme A B C D E F Number 9 18 18 9 13 18 SHF-C method 1.6% 3.2% 3.4% 1.9% 3.0% 3.9% TH-C method 1.4% 2.6% 2.6% 1.7% 2.7% 3.4% SHF-C / TH-C 118% 125% 127% 108% 112% 116%

[0168] Table 5 Comparison of Additional Damping Ratio Results for Velocity-Type Energy Dissipators

[0169] Scheme A B C D E F Number 9 18 18 9 13 18 SHF-C method 2.6% 5.3% 5.5% 3.1% 4.9% 6.4% TH-C method 2.8% 5.4% 5.6% 3.2% 5.0% 6.3% SHF-C / TH-C 94% 97% 98% 97% 99% 101%

[0170] Note: TH-C stands for "Time History Specification Method", and SHF-C method is the rapid calculation method for the additional damping ratio of the structure with a support type energy dissipator described in this invention.

[0171] The calculation results show that when a displacement-type energy dissipator is used, the SHF-C method yields 108% to 127% of the results calculated by the TH-C method; when a velocity-type energy dissipator is used, the SHF-C method yields 94% to 101% of the results calculated by the TH-C method. Regardless of whether a displacement-type or velocity-type energy dissipator is used, the SHF-C method can accurately reflect the relative magnitudes of the additional damping ratios of each scheme.

[0172] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A rapid calculation method for the additional damping ratio of a structure with a support-type energy dissipator, characterized in that, Includes the following steps: S1: Establish a non-damping structural model and perform calculations for the specified horizontal force conditions under the design waterproof level; extract the frame node displacement results and calculate the initial deformation of each floor and span of the structure according to the following formula. ; In the formula, , These are the horizontal displacement and angular displacement of the nodes, respectively. The heights of the upper and lower supports of the energy dissipator are given. A, B, C, and D are the four frame node numbers corresponding to the energy dissipator installation in this span. The difference in horizontal displacement between the energy dissipator layers. , These are the corners of the frame beams at the corresponding positions of the upper and lower supports of the proposed energy dissipator; According to the energy dissipator layout scheme, "1" indicates that an energy dissipator is installed in the span, and "0" indicates that no energy dissipator is installed in the span, forming... Matrix, initializing the deformation caused by the energy dissipator reaction force. , , and All are three-dimensional matrices, with the matrix dimension being the number of axis numbers. number of floors The number of spans and the initial additional damping ratio are ; S2: Calculate the deformation caused by the energy dissipator reaction force. ; Based on geometric relationships and the constitutive mechanism of the energy dissipator, for a displacement-type energy dissipator, the deformation caused by the energy dissipator reaction force is calculated using the following formula: In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation The stiffness of the energy dissipator after yielding. For yield displacement, For yield force, For the first i Height of layer energy dissipator support, For the first k Axis No. i Layer j cross-frame beam b Linear stiffness, For the first k Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation of the frame beam support pier position, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator; The velocity-type energy dissipator is solved using an iterative method based on the following equations; In the formula, For the first k Axis No. i Layer j Initial deformation across the proposed location of the energy dissipator, For the first k Axis No. i Layer j Cross-energy dissipator reaction force F The resulting deformation To calculate the first frequency of the directional structure, To calculate the correction factor for the maximum output of the viscous energy dissipator, The damping coefficient of the viscous energy dissipator. The velocity index of the viscous energy dissipator. For the first i Height of layer energy dissipator support, For the first k Axis No. i +1 floor j Maximum output of the energy dissipator For the first k Axis No. i Layer j cross-frame beam b Linear stiffness, For the first k Axis No. i -1st floor j Cross-energy dissipator reaction force F The resulting rotation angle at the support pier position of the frame beam; S3: Consider additional damping ratio correction; Calculate the energy dissipation of the energy dissipator and the total strain energy of the structure to obtain the additional damping ratio under a given energy dissipator arrangement. ; Floor shear Inter-story displacement and the initial deformation of the energy dissipator All results are calculated by multiplying the non-damping model results by the structural response reduction factor. get; renew , , , Repeat steps S2 to S3 until the additional damping ratio is reached. , The error is less than the preset error convergence value. This indicates the calculation of the additional damping ratio for one iteration. Once the calculation is complete, the additional damping ratio of the structure with the pier-type energy dissipator is output.

2. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S1 , It is calculated using the following formula: Assume that the distance from point E, where the support is located, to the end is... The corner is The bending moment at the pier location is According to the equation for the rotational displacement of a beam, we have: In the formula, i Beam stiffness considering the effect of floor slab stiffness, , The difference in vertical displacement between the two ends of the beam. l For the beam span, , These are the end angular displacements, , These are the end bending moments; Then, by integrating the equation of the beam's deflection curve, we obtain... ; In the formula, EI For bending stiffness; The rotation angle at any point in the beam is the distance from the end. The quadratic function has a maximum turning angle at the inflection point, where: ， Maximum turning angle is .

3. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S2, the solution is... Depends on neighboring layers , Solve the system of equations.

4. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S2, Initialize to zero, and set non-zero i layer j Using the deformation of the span as a known quantity, solve for the unique unknown quantity. .

5. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S3, for a given energy dissipator arrangement scheme, the additional damping ratio of the displacement type energy dissipator is... The calculation method is as follows: In the formula, For the first i layer j Maximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition; In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

6. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S3, for a velocity-type energy dissipator, the additional damping ratio under a given energy dissipator arrangement scheme is... The calculation method is as follows: In the formula, For the first i layer j Maximum output of the energy dissipator For the first i layer j Energy dissipators arranged across the expected deformation The energy consumed in one cycle of repetition. It is a function related to the damping exponent; In the formula, To calculate the total strain energy of the structure under seismic loading, Add damping ratio to the energy dissipator For the first i Shear force of each floor For the first i Interlayer displacement.

7. The method for rapid calculation of the additional damping ratio of a structure with a support-type energy dissipator according to claim 1, characterized in that, In S3, the structural response reduction coefficient The expression is: In the formula, For the additional damping ratio, T This represents the first period of the structure in the direction of energy dissipation. The characteristic period is denoted as .

8. A structure for an energy dissipator with supports, characterized in that, The additional structural damping ratio generated by the energy dissipator is determined using a rapid calculation method for the structural additional damping ratio of an energy dissipator with supports as described in any one of claims 1-7.

9. A computing device, characterized in that, It includes at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor, which, when executed by the at least one processor, enable the at least one processor to perform a method for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator as described in any one of claims 1-7.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements a method for rapidly calculating the additional damping ratio of a structure with a pier-type energy dissipator as described in any one of claims 1-7.

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