Method and system for measuring natural vibration frequency and vibration mode for building structure dynamic analysis

A technology of natural vibration frequency and building structure, applied in character and pattern recognition, special data processing applications, instruments, etc., can solve problems such as non-convergence, cumbersome calculation process, and unstable calculation results.

Pending Publication Date: 2020-09-25
HUANGHUAI UNIV +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The current method for solving the natural frequency and mode shape of a multi-degree-of-freedom system is prone to non-convergence problems; and it needs to solve linear equations many times, resulting in a very cumbersome calculation process and unstable calculation results
[0003] Through the above analysis, the problems and defects of the existing technology are: the current method for solving the natural frequency and mode shape of the multi-degree-of-freedom system is prone to non-convergence problems; and the linear equations need to be solved many times, resulting in a very cumbersome calculation process , the calculation result is not stable

Method used

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  • Method and system for measuring natural vibration frequency and vibration mode for building structure dynamic analysis
  • Method and system for measuring natural vibration frequency and vibration mode for building structure dynamic analysis
  • Method and system for measuring natural vibration frequency and vibration mode for building structure dynamic analysis

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Embodiment 1

[0106] The method for measuring the natural frequency and mode shape of the building structure dynamic analysis provided by the embodiment of the present invention is as follows figure 1 As shown, as a preferred embodiment, such as image 3 As shown, the method of comparing the physical building structure parameters with the initially designed building structure parameters through the parameter correction program provided by the embodiment of the present invention is:

[0107] S201: When the main control computer detects a data comparison request, it displays a data comparison window to prompt input of data comparison information.

[0108] S202: Determine a data comparison range based on the input data comparison information, and compare the data information contained in the corresponding range.

[0109] S203: When it is detected that the data information comparison is completed, output the result of the data information comparison.

[0110] The step S202 provided by the embodiment of...

Embodiment 2

[0114] The method for measuring the natural frequency and mode shape of the building structure dynamic analysis provided by the embodiment of the present invention is as follows figure 1 As shown, as a preferred embodiment, such as Figure 4 As shown, the method provided by the embodiment of the present invention to convert the multi-degree-of-freedom undamped free vibration equation obtained in step 3 into the characteristic equation of the motion equation through the equation conversion program is:

[0115] S301: Calculate the form equation of the vibration of the multi-degree-of-freedom system.

[0116] S302: Calculate two derivatives of the time parameter of the form equation of the vibration of the multi-degree-of-freedom system.

[0117] S303: Bring the displacement vector and the acceleration vector into the undamped free vibration equation.

[0118] S304: Transform and simplify the equation of S303 to obtain the characteristic equation of the motion equation.

[0119] The metho...

Embodiment 3

[0136] The method for measuring the natural frequency and mode shape of the building structure dynamic analysis provided by the embodiment of the present invention is as follows figure 1 As shown, as a preferred embodiment, such as Figure 5 As shown, the method for performing the mode shape normalization processing after the mode shape data is standardized by the data normalization processing program provided by the embodiment of the present invention is:

[0137] S401, the data is scaled to make it fall into a small specific interval.

[0138] S402: Take reciprocal processing on the mode shape data, and then perform standardization processing on each value, and map the value to the value interval [0, 1] through function transformation.

[0139] S403: Perform projection analysis and principal component analysis on the standardized processed data, and participate in the evaluation calculation of the mode shape data.

[0140] The step S403 provided by the embodiment of the present inv...

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Abstract

The invention belongs to the technical field of civil engineering, and discloses a method and a system for measuring natural vibration frequency and vibration mode for dynamic analysis of a building structure. The method for measuring the natural vibration frequency and the vibration mode for building structure dynamic analysis comprises the following steps: for a selected building, establishing an equation of multi-degree-of-freedom undamped free vibration during undamped autonomous vibration of a multi-degree-of-freedom building structure system, and converting the equation into a characteristic equation of a motion equation; supposing that a characteristic equation of the motion equation obtained by conversion has a non-zero solution and a coefficient determinant is zero, and obtaininga frequency equation; substituting the corresponding natural vibration frequency into a characteristic equation of the motion equation to obtain a vibration mode; and carrying out vibration mode normalization. According to the method, an equation of multi-degree-of-freedom undamped free vibration is converted into a characteristic equation of a motion equation, so that the calculated amount is simplified, and the algorithm stability is improved; by simplifying the characteristic equation of the motion equation, the calculation amount is reduced, the calculation efficiency is improved under thecondition of ensuring the stability, and the calculation time is saved.

Description

Technical field [0001] The invention belongs to the technical field of civil engineering, and in particular relates to a method and system for measuring the natural frequency and vibration mode of building structure dynamic analysis. Background technique [0002] At present, the natural frequency and mode of vibration are the inherent properties of the building system itself. They are the basis for the design and research of the wind and earthquake resistance of the structural system. With multiple degrees of freedom, there is more than one natural frequency and mode shape. The natural frequency is related to its own stiffness coefficient and its mass distribution, and has nothing to do with external loads. The vibration mode can be understood as a specific form of structural system vibration, and the relative amplitude of the structural system can be uniquely determined through standardized methods. Vibration frequency and mode shape are the basic design parameters for structu...

Claims

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Application Information

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IPC IPC(8): G06F30/13G06K9/62G06F119/14
CPCG06F30/13G06F2119/14G06F18/2135
Inventor 李修忠张学强沈国印薛玉琴
Owner HUANGHUAI UNIV
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