Method and system for performance analysis of different energy dissipation devices in high-rise buildings

Abstract

The application relates to a high-rise building different energy dissipation and shock absorption equipment performance analysis method and system, which comprises the following steps: constructing mechanical models of different energy dissipation and shock absorption equipment, arranging the energy dissipation and shock absorption equipment in a high-rise building model to obtain a structure model, performing modal analysis on the structure model to obtain natural vibration frequencies and corresponding vibration modes; calculating the vibration mode similarity in each structure model to obtain a similarity matrix, and calculating a modal correlation coefficient according to the vibration mode similarity matrix; performing modal decomposition on each natural seismic response spectrum, generating an artificial seismic response spectrum based on the frequency of each eigenmode component and the natural vibration frequency; calculating the maximum response of each structure model under each seismic response spectrum according to the seismic response spectrum and the modal correlation coefficient, calculating the change of the maximum response under different shock absorption equipment performance parameters and arrangement positions, and determining the shock absorption equipment performance parameters and arrangement positions according to the change.

Description

Technical Field

[0001] The present invention relates to the field of energy dissipation and shock absorption, and in particular to a method and system for analyzing the performance of different energy dissipation and shock absorption equipment in a high-rise building. Background Art

[0002] Structural safety and occupant comfort are crucial considerations in the design of high-rise schools, especially those located in high-intensity areas. Due to their height and flexibility, high-rise buildings are more susceptible to dynamic loads such as earthquakes and wind, resulting in large displacements and vibrations that can cause structural damage or even collapse, and reduce occupant comfort. To improve the ability of high-rise buildings to cope with these dynamic loads, energy dissipation and vibration reduction technologies are widely used. These technologies introduce additional damping into the structure to dissipate the energy generated by earthquakes or wind, thereby reducing the burden on the main structure and minimizing deformation and vibration. Commonly used energy dissipation and vibration reduction devices include friction dampers (FRDs) and viscous dampers (VFDs). Friction dampers dissipate energy through the friction generated when components slide relative to each other. Their damping force is independent of velocity but rather depends on the normal pressure between the sliding surfaces and the friction coefficient. Viscous dampers dissipate energy by utilizing the viscous resistance generated by a viscous fluid passing through internal orifices or gaps within the damper. Their damping force is proportional to velocity. Different types of energy dissipation and shock absorption equipment have different performance, installation methods, and appearances. How to enhance the accuracy of performance analysis of different energy dissipation and shock absorption equipment in high-rise buildings is the key to improving the energy dissipation and shock absorption capacity of high-rise buildings. Summary of the Invention

[0003] In order to improve the accuracy of the performance of different energy dissipation and shock absorption equipment in high-rise buildings, in a first aspect of the present invention, a method for analyzing the performance of different energy dissipation and shock absorption equipment in high-rise buildings is provided, the method comprising the following steps:

[0004] Construct mechanical models of different energy dissipation and vibration reduction devices, arrange them in a high-rise building model to obtain a structural model, and perform modal analysis on the structural model to obtain the natural frequency and corresponding vibration mode.

[0005] Calculate the mode shape similarity in each structural model to obtain a similarity matrix, and calculate the modal correlation coefficient based on the mode shape similarity matrix; perform modal decomposition on each natural earthquake response spectrum, and generate an artificial earthquake response spectrum based on the frequency and natural frequency of each eigenmode component;

[0006] The maximum response of each structural model in each earthquake response spectrum is calculated based on the earthquake response spectrum and the modal correlation coefficient, the change of the maximum response under different performance parameters and layout positions of the seismic absorption equipment is calculated, and the performance parameters and layout position of the seismic absorption equipment are determined based on the change.

[0007] Optionally, the modal correlation coefficient is calculated based on the similarity matrix of the vibration mode, specifically:

[0008] Calculate the mean of the elements in the similarity matrix of the vibration mode;

[0009] If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

[0010] Optionally, the modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically:

[0011] The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

[0012] Optionally, the generating of the artificial earthquake response spectrum based on the frequency of each eigenmode component and the principal natural frequency is specifically as follows:

[0013] Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component;

[0014] Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra;

[0015] The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

[0016] Optionally, the calculation of the maximum response of each structural model in each earthquake response spectrum according to the earthquake response spectrum and the modal correlation coefficient is specifically as follows:

[0017] The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

[0018] In a second aspect of the present invention, a system for analyzing the performance of different energy dissipation and vibration reduction devices in a high-rise building is provided, the system comprising the following modules:

[0019] The model building module is used to construct mechanical models of different energy dissipation and vibration reduction devices, arrange the energy dissipation and vibration reduction devices in the high-rise building model to obtain a structural model, and perform modal analysis on the structural model to obtain the natural frequency and corresponding vibration mode;

[0020] The response spectrum construction module is used to calculate the similarity of the mode shapes in each structural model to obtain a similarity matrix, and calculate the modal correlation coefficient based on the mode shape similarity matrix; perform modal decomposition on each natural earthquake response spectrum, and generate an artificial earthquake response spectrum based on the frequency and natural frequency of each eigenmode component;

[0021] The performance analysis module is used to calculate the maximum response of each structural model in each earthquake response spectrum based on the earthquake response spectrum and the modal correlation coefficient, calculate the change in the maximum response under different performance parameters and layout positions of the seismic absorption equipment, and determine the performance parameters and layout position of the seismic absorption equipment based on the change.

[0022] Optionally, the modal correlation coefficient is calculated based on the similarity matrix of the vibration mode, specifically:

[0023] Calculate the mean of the elements in the similarity matrix of the vibration mode;

[0024] If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

[0025] Optionally, the modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically:

[0026] The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

[0027] Optionally, the generating of the artificial earthquake response spectrum based on the frequency of each eigenmode component and the principal natural frequency is specifically as follows:

[0028] Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component;

[0029] Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra;

[0030] The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

[0031] Optionally, the calculation of the maximum response of each structural model in each earthquake response spectrum according to the earthquake response spectrum and the modal correlation coefficient is specifically as follows:

[0032] The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

[0033] In a third aspect of the present invention, a computer program is provided, which implements the method according to the first aspect when executed by a processor.

[0034] When calculating the modal correlation coefficient, the present invention introduces the modal correlation coefficient obtained by mode shape similarity, which can more accurately reflect the true relationship between modal responses, thereby improving the accuracy of modal combination methods such as CQC. It overcomes the problem that for modes with very close frequencies but very different modes, using only frequency-based correlation coefficients may overestimate the correlation between their responses. In addition, by decomposing the natural earthquake response spectrum and combining it with the natural frequency to obtain an artificial earthquake response spectrum, not only does it retain the frequency characteristics of the real earthquake, making the artificial earthquake response spectrum more realistic, but it also strengthens the artificial earthquake response spectrum according to the main natural frequency, making it more consistent with the frequency characteristics of the target structure and improving the shock absorption capacity of high-rise buildings. BRIEF DESCRIPTION OF THE DRAWINGS

[0035] Figure 1 This is a flow chart of a specific embodiment 1;

[0036] Figure 2 is a schematic diagram of the mode similarity matrix;

[0037] Figure 3 Schematic diagram of multiple earthquake response spectra;

[0038] Figure 4 Schematic diagram of IMF decomposition of an earthquake response spectrum;

[0039] Figure 5 is the artificially synthesized earthquake response spectrum;

[0040] Figure 6 It is a structural diagram of specific embodiment 2. DETAILED DESCRIPTION

[0041] In the embodiments of the present invention, words such as "exemplary" or "for example" are used to indicate examples, illustrations, or descriptions. Any embodiment or design described as "exemplary" or "for example" in the embodiments of this application should not be construed as being preferred or advantageous over other embodiments or designs. Rather, the use of words such as "exemplary" or "for example" is intended to present the relevant concepts in a concrete manner to facilitate understanding.

[0042] It will be understood that the “embodiment” mentioned throughout the specification means that the specific features, structures or characteristics related to the embodiment are included in at least one embodiment of the present application. Therefore, the various embodiments throughout the specification do not necessarily refer to the same embodiment. In addition, these specific features, structures or characteristics can be combined in one or more embodiments in any suitable manner. It will be understood that in the various embodiments of the present application, the size of the sequence number of each process does not mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiment of the present application.

[0043] In the present invention, unless otherwise specified, the same or similar parts between the various embodiments can refer to each other. In the various embodiments of the present invention, and the various implementation methods / implementation methods / implementation methods in each embodiment, if there is no special explanation and logical conflict, the terms and / or descriptions between different embodiments and the various implementation methods / implementation methods / implementation methods in each embodiment are consistent and can be referenced to each other. The technical features in different embodiments and the various implementation methods / implementation methods / implementation methods in each embodiment can be combined to form new embodiments, implementation methods, implementation methods, or implementation methods according to their inherent logical relationships. The implementation methods of the present application described below do not constitute a limitation on the scope of protection of the present application.

[0044] Specific embodiment 1 provides a method for analyzing the performance of different energy dissipation and shock absorption equipment in high-rise buildings, such as Figure 1 As shown, it includes:

[0045] S101, constructing mechanical models of different energy dissipation and vibration reduction devices, arranging the energy dissipation and vibration reduction devices in a high-rise building model to obtain a structural model, and performing modal analysis on the structural model to obtain natural frequencies and corresponding vibration modes;

[0046] Based on their energy dissipation principles, vibration dampers can be categorized as displacement-type or velocity-type. Displacement-type dampers can be further divided into buckling-restrained braces, metal shear (bending) dampers, and friction dampers. Velocity-type dampers can be further divided into viscous dampers and viscoelastic dampers. For high-rise buildings such as schools, viscous and / or friction dampers are preferred. Different energy dissipation and vibration damping devices have different mechanical properties and require corresponding modeling. For viscous dampers, the model is typically a linear viscous damping model, where the damping force is proportional to velocity; for friction dampers, a sliding model is typically used. More specifically, modeling software such as SAP2000 is used to develop the mechanical models of different energy dissipation and vibration damping devices. In high-rise buildings, energy dissipation and vibration damping devices are typically deployed at locations such as diagonal braces, herringbone braces, shear wall connections, and between floor slabs. In structural analysis software, defined energy dissipation and vibration damping devices are connected to the corresponding locations in the building model. For example, in a steel-frame high-rise building model, the diagonal bracing on a certain floor can be replaced with a viscous damper, or a yield damper can be installed at the top of the herringbone brace. Modal analysis is a method for studying the natural vibration characteristics of a structure, primarily used to determine the natural frequencies and corresponding mode shapes of the structure. Modal analysis of the structural model can be performed using tools or by calling APIs to obtain the natural frequencies and corresponding mode shapes of the structural model.

[0047] S102, calculating the mode shape similarity in each structural model to obtain a similarity matrix, and calculating the modal correlation coefficient based on the mode shape similarity matrix; performing modal decomposition on each natural earthquake response spectrum, and generating an artificial earthquake response spectrum based on the frequency of each eigenmode component and the natural frequency;

[0048] In the prior art, when using the complete quadratic combination method for response analysis, if the frequencies of two modes are very close, but their vibration modes are very different in spatial distribution, the response correlation may not be as strong as when the frequencies are close, and the response degrees of different vibration modes to spatially distributed excitations may be different. Calculating the modal correlation coefficient based solely on the modal frequency and damping ratio cannot reflect the true relationship between the modal responses. In the present invention, when calculating the modal correlation coefficient, the modal correlation coefficient obtained by introducing the similarity of the vibration modes can better reflect the true relationship between the modes. In one embodiment, for each structural model, the similarity of different vibration modes in this structural model is calculated. If there are N vibration modes, an N×N similarity matrix will be obtained. In the similarity matrix, the element in the i-th row and j-th column is the similarity between the i-th vibration mode and the j-th vibration mode, such as Figure 2 As shown, Figure 2Where N=6. The calculation method of the similarity of the vibration modes includes but is not limited to cosine similarity, Euclidean distance, Pearson correlation coefficient, etc. Then calculate the standard modal correlation coefficients of different vibration modes in this structural model to obtain an N×N standard modal correlation coefficient matrix, and perform weighted summation of the similarity matrix and the standard modal correlation coefficient matrix by element to obtain the modal correlation coefficient matrix of this structural model. In the modal correlation coefficient matrix, the element in the i-th row and the j-th column is the modal correlation coefficient between the i-th vibration mode and the j-th vibration mode. The standard modal correlation coefficient is calculated based on the frequency and damping ratio, which belongs to the prior art and will not be repeated here. In one embodiment, after the modal correlation coefficient is obtained, it is normalized.

[0049] In order to fully analyze the impact of different energy dissipation and vibration reduction devices on the vibration reduction of high-rise buildings, multiple earthquake response spectra are required, generally multiple natural earthquake response spectra and multiple artificial synthetic earthquake response spectra are required. Figure 3 A schematic diagram of multiple response spectra is shown. The natural earthquake response spectrum is derived from the collection of natural earthquakes and can well preserve various earthquake information. In one embodiment, each natural earthquake response spectrum is subjected to modal decomposition, such as using EMD, EEMD, etc., to obtain multiple intrinsic mode components (IMFs). Figure 4 The IMF diagram is obtained by modal decomposition of an earthquake spectrum. For each natural frequency, an IMF that best matches or is closest to this natural frequency is determined. For example, the main frequency of each IMF is calculated, and the weighted summation of the IMFs corresponding to all natural frequencies is performed to obtain an artificially synthesized earthquake response spectrum, such as Figure 5 As shown. After obtaining the artificially synthesized earthquake response spectrum, it is processed using the standard response spectrum, such as amplitude adjustment, shape correction and / or smoothing. By using the IMFs decomposed from the real earthquake response spectrum, the generated artificial spectrum may be closer to the real earthquake in the characteristics of the local frequency components. In an alternative embodiment, the generation of the artificial earthquake response spectrum is to exchange one or more IMFs with the same serial number of different natural earthquake response spectra, for example, exchanging the third IMF of the first natural earthquake response spectrum with the third IMF of the fourth natural earthquake response spectrum.

[0050] S103, calculating the maximum response of each structural model in each earthquake response spectrum based on the earthquake response spectrum and the modal correlation coefficient, calculating the change of the maximum response under different performance parameters and layout positions of the seismic absorption equipment, and determining the performance parameters and layout position of the seismic absorption equipment based on the change.

[0051] After obtaining the earthquake response spectrum, the spectral acceleration corresponding to each mode is determined from the response spectrum, and the modal correlation coefficient is used to combine the peak responses of each mode to estimate the total peak response; the earthquake response spectrum includes natural earthquake response spectrum, synthetic earthquake response spectrum, standard earthquake response spectrum, etc. Change the performance parameters of the seismic isolation device, such as the stiffness and damping coefficient of the viscous damper, and / or change the location of the seismic isolation device in the building, and recalculate the maximum response. For each point of interest or the entire high-rise building, record the maximum response as the performance parameters and layout of the seismic isolation device change, and visualize these relationships through tables, charts, or contour maps. Set optimization goals, such as minimizing a specific response amount, or reducing the response by a certain percentage compared to a baseline structure without seismic isolation devices, to determine the combination of seismic isolation device performance parameters and layout locations that best achieve the desired goals.

[0052] In the standard complete quadratic combination method, the calculation of the modal correlation coefficient depends only on the natural frequency and damping ratio of each mode shape, while ignoring the spatial distribution characteristics of the mode shape itself. However, in actual engineering, even if the frequencies of two modes differ greatly, if their modes are very similar, there may be a certain correlation between their seismic responses. Conversely, even if the frequencies are close, if the modes are very different, their correlation may be small. Moreover, the standard complete quadratic combination method is derived based on classical damping, ignoring the influence of non-classical damping. In another embodiment, the modal correlation coefficient is calculated based on the similarity matrix of the mode shape, specifically:

[0053] Calculate the mean of the elements in the similarity matrix of the vibration mode;

[0054] If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

[0055] The modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically:

[0056] The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

[0057] Calculate the similarity between any two vibration modes to form a vibration mode similarity matrix. Further obtain the average value of this similarity matrix. For example, if there are 4 vibration modes, the similarity matrix is ​​4×4, with a total of 16 elements. Calculate the mean of these 16 elements. In another embodiment, since the diagonal elements are the similarity between each vibration mode and itself, the value is 1 and should not be included in the mean calculation for measuring the similarity between different vibration modes. Calculate the mean of all non-diagonal elements in the similarity matrix. For any two different vibration modes i and j, take out their corresponding elements in the similarity matrix. If the element value is greater than the mean, it means that the similarity between the two vibration modes is high. At this time, the modal correlation coefficient is calculated by combining the frequency, damping ratio and vibration mode similarity. Otherwise, use the standard CQC formula, that is, calculate the modal correlation coefficient based only on the natural frequency and damping ratio of the two vibration modes, or the correlation of the vibration modes with low similarity in the seismic response can be ignored, and their modal correlation coefficients are directly set to zero to simplify the calculation. More specifically, the modal correlation coefficient between two modes is calculated based on frequency, damping ratio, and mode shape similarity. Specifically, for two modes i and j whose similarity is greater than the mean, a standard modal correlation coefficient is first calculated using the standard CQC formula. The difference between the similarity of the two modes and a threshold is calculated. The threshold is determined based on experience or research. In one optional embodiment, the threshold is 0.8. The standard modal correlation coefficient and the difference are weighted and summed to obtain the model correlation coefficient for the two modes. Other calculation methods can also be used, and the model correlation coefficient only needs to be calculated based on the standard modal correlation coefficient and the difference.

[0058] The earthquake response spectrum includes natural earthquake response spectrum and artificially synthesized earthquake response spectrum. The natural earthquake response spectrum comes from natural earthquakes and contains more information, while the artificially synthesized one often contains less information. In one embodiment, the artificial earthquake response spectrum is generated based on the frequency of each eigenmode component and the main natural frequency, specifically as follows:

[0059] Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component;

[0060] Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra;

[0061] The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

[0062] For each intrinsic mode component (IMF), the dominant frequency of the IMF is determined by Fourier transforming the IMF and finding the frequency component with the highest energy in the spectrum, or by estimating the dominant frequency based on the zero-crossing rate. A dominant natural frequency of the target structure is determined, preferably using the fundamental frequency or the frequency of the first dominant mode as the dominant natural frequency. When there are multiple natural earthquake response spectra, each with multiple IMFs and a dominant frequency, the IMF with the closest dominant frequency to the dominant natural frequency is selected as the target IMF.

[0063] Record the index number of the target IMF of each natural earthquake response spectrum in its original IMF sequence. The index number of the first decomposed IMF is 1, the second is 2, and so on. If the target IMFs selected by two or more natural spectra are the same, the target IMFs of these natural spectra are exchanged. For example, if natural spectrum A and natural spectrum B both select the IMF with the serial number 3 as the target, then the third IMF of natural spectrum A and the third IMF of natural spectrum B are exchanged. After the exchange, the number of IMFs of natural spectrum A and natural spectrum B remains unchanged. All the IMFs of natural spectrum A are resynthesized into a response spectrum to obtain an artificially synthesized earthquake response spectrum. Similarly, all the IMFs of natural spectrum B are resynthesized into a response spectrum.

[0064] In an optional embodiment, the maximum response of each structural model in each earthquake response spectrum is calculated based on the earthquake response spectrum and the modal correlation coefficient, specifically:

[0065] The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

[0066] For a given earthquake response spectrum, for each mode's natural frequency and modal damping ratio, the corresponding spectral acceleration is read or interpolated from the response spectrum curve. The modal participation coefficient is calculated for each mode. The contribution of each mode to the structural response is calculated based on the spectral acceleration and modal participation coefficient. The complete quadratic combination method is used to combine the responses of each mode with the modal correlation coefficient to calculate the maximum response of each structural model under the earthquake response spectrum.

[0067] Specific embodiment 2 provides a performance analysis system for different energy dissipation and shock absorption equipment in high-rise buildings, such as Figure 6 As shown, it includes:

[0068] Model construction module 201 is used to construct mechanical models of different energy dissipation and vibration reduction devices, arrange the energy dissipation and vibration reduction devices in the high-rise building model to obtain a structural model, and perform modal analysis on the structural model to obtain natural frequencies and corresponding vibration modes;

[0069] The response spectrum construction module 202 is used to calculate the mode shape similarity in each structural model to obtain a similarity matrix, and calculate the modal correlation coefficient based on the mode shape similarity matrix; perform modal decomposition on each natural earthquake response spectrum, and generate an artificial earthquake response spectrum based on the frequency and natural frequency of each eigenmode component;

[0070] The performance analysis module 203 is used to calculate the maximum response of each structural model in each earthquake response spectrum based on the earthquake response spectrum and the modal correlation coefficient, calculate the change in the maximum response under different performance parameters and layout positions of the seismic absorption equipment, and determine the performance parameters and layout position of the seismic absorption equipment based on the change.

[0071] Optionally, the modal correlation coefficient is calculated based on the similarity matrix of the vibration mode, specifically:

[0072] Calculate the mean of the elements in the similarity matrix of the vibration mode;

[0073] If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

[0074] Optionally, the modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically:

[0075] The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

[0076] Optionally, the generating of the artificial earthquake response spectrum based on the frequency of each eigenmode component and the principal natural frequency is specifically as follows:

[0077] Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component;

[0078] Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra;

[0079] The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

[0080] Optionally, the calculation of the maximum response of each structural model in each earthquake response spectrum according to the earthquake response spectrum and the modal correlation coefficient is specifically as follows:

[0081] The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

[0082] In a third aspect of the present invention, a computer program is provided, which implements the method according to the first aspect when executed by a processor.

[0083] The above embodiments may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, the processes or functions described in the embodiments of the present application are generated in whole or in part. The computer may be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device, such as Figure 6 As shown. The computer instructions can be stored in a computer-readable storage medium, or transmitted from one computer-readable storage medium to another computer-readable storage medium. For example, the computer instructions can be transmitted from one website, computer, server or data center to another website, computer, server or data center via a wired (e.g., coaxial cable, optical fiber, digital subscriber line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) method. The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device such as a server or data center that includes one or more available media integrated therein. The available medium can be a magnetic medium (e.g., a floppy disk, a hard disk, a magnetic tape), an optical medium (e.g., a DVD), or a semiconductor medium (e.g., a solid-state drive (SSD)).

[0084] The steps of the methods or algorithms described in the embodiments of the present application can be directly embedded in hardware, software units executed by a processor, or a combination of the two. The software units can be stored in RAM memory, flash memory, ROM memory, EPROM memory, EEPROM memory, registers, hard disk, removable disk, CD-ROM, or other storage media in any form known in the art. Exemplarily, the storage medium can be connected to the processor so that the processor can read information from the storage medium and write information to the storage medium. Alternatively, the storage medium can also be integrated into the processor. The processor and storage medium can be arranged in an ASIC.

[0085] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0086] Although the present application has been described with reference to specific features and embodiments thereof, it is apparent that various modifications and combinations may be made thereto without departing from the spirit and scope of the present application. Accordingly, this specification and the drawings are merely illustrative of the present application as defined by the appended claims and are deemed to cover any and all modifications, variations, combinations or equivalents within the scope of the present application. Obviously, those skilled in the art may make various modifications and variations to the present application without departing from the scope of the present application. Thus, the present application is intended to include such modifications and variations if they fall within the scope of the claims of the present application and their equivalents.

Claims

1. A method for analyzing the performance of different energy dissipation and shock absorption equipment in high-rise buildings, characterized in that: The method comprises the following steps: Construct mechanical models of different energy dissipation and vibration reduction devices, arrange them in a high-rise building model to obtain a structural model, and perform modal analysis on the structural model to obtain the natural frequency and corresponding vibration mode. Calculate the mode shape similarity in each structural model to obtain a similarity matrix, and calculate the modal correlation coefficient based on the mode shape similarity matrix; perform modal decomposition on each natural earthquake response spectrum, and generate an artificial earthquake response spectrum based on the frequency and natural frequency of each eigenmode component; Calculating the maximum response of each structural model in each earthquake response spectrum based on the earthquake response spectrum and the modal correlation coefficient, calculating the change of the maximum response under different performance parameters and layout positions of the seismic absorption equipment, and determining the performance parameters and layout position of the seismic absorption equipment based on the change; The modal correlation coefficient is calculated based on the similarity matrix of the vibration mode, specifically: Calculate the mean of the elements in the similarity matrix of the vibration mode; If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

2. The method according to claim 1, wherein The modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically: The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

3. The method according to claim 1, wherein The artificial earthquake response spectrum is generated based on the frequency of each eigenmode component and the main natural frequency, specifically: Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component; Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra; The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

4. The method according to claim 1, wherein The maximum response of each structural model in each earthquake response spectrum is calculated according to the earthquake response spectrum and the modal correlation coefficient, specifically: The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

5. A performance analysis system for different energy dissipation and shock absorption equipment in high-rise buildings, characterized in that: The system includes the following modules: The model building module is used to construct mechanical models of different energy dissipation and vibration reduction devices, arrange the energy dissipation and vibration reduction devices in the high-rise building model to obtain a structural model, and perform modal analysis on the structural model to obtain the natural frequency and corresponding vibration mode; The response spectrum construction module is used to calculate the mode shape similarity in each structural model to obtain a similarity matrix, and calculate the modal correlation coefficient based on the mode shape similarity matrix; Perform modal decomposition on each natural earthquake response spectrum and generate an artificial earthquake response spectrum based on the frequency and natural frequency of each eigenmode component; a performance analysis module for calculating the maximum response of each structural model in each earthquake response spectrum based on the earthquake response spectrum and the modal correlation coefficient, calculating the change in the maximum response under different performance parameters and layout positions of the seismic absorption equipment, and determining the performance parameters and layout position of the seismic absorption equipment based on the change; The modal correlation coefficient is calculated based on the similarity matrix of the vibration mode, specifically: Calculate the mean of the elements in the similarity matrix of the vibration mode; If the similarity between the two vibration modes in the similarity matrix is ​​greater than the mean, the modal correlation coefficient of the two vibration modes is calculated according to the frequency, damping ratio and vibration mode similarity; otherwise, the modal correlation coefficient of the two vibration modes is calculated according to the frequency and damping ratio or the modal correlation coefficient of the two vibration modes is set to zero.

6. The system according to claim 5, wherein: The modal correlation coefficient of the two vibration modes is calculated based on the frequency, damping ratio and vibration mode similarity, specifically: The standard modal correlation coefficient is calculated according to the frequency and the damping ratio, the difference between the mode shape similarity and the threshold is calculated, and the standard modal correlation coefficient and the difference are weighted to obtain the model correlation coefficient of the two mode shapes.

7. The system according to claim 5, wherein: The artificial earthquake response spectrum is generated based on the frequency of each eigenmode component and the main natural frequency, specifically: Obtain the main frequency of each eigenmode component, and take the eigenmode component whose main frequency of the eigenmode component in each natural earthquake response spectrum is closest to the main natural frequency as the target eigenmode component; Obtaining the sequence number of the target eigenmode component in the natural earthquake response spectrum, and if the sequence numbers of the target eigenmode components of two natural earthquake response spectra are the same, swapping the target eigenmode components of the two natural earthquake response spectra; The artificial earthquake response spectrum is obtained according to the exchanged target eigenmode components.

8. The system according to claim 5, wherein: The maximum response of each structural model in each earthquake response spectrum is calculated according to the earthquake response spectrum and the modal correlation coefficient, specifically: The response of each vibration mode is obtained based on the earthquake response spectrum, and the maximum response of each structural model in the earthquake response spectrum is obtained by using the complete quadratic combination method through the response of each vibration mode and the modal correlation coefficient.

Images