Method for determining vibration mode number needed for calculating acceleration response through mode superposition method

A technology of acceleration and superposition method, applied in calculation, computer-aided design, electrical digital data processing, etc., can solve the problem of underestimating the influence of acceleration response of high-order mode shapes, etc., and achieve the effect of easy operation and simple calculation

Active Publication Date: 2018-08-07
UNIV OF SCI & TECH BEIJING
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Problems solved by technology

[0005] The technical problem to be solved by the present invention is to provide a method for determining the number of mode shapes required for calculating the acceleration response by the modal superposition method, so as to overcome the traditional method of determining the number of mode shapes required based on the cumulative mode shape participation mass ratio and the cumulative mode shape contribution coefficient Insufficient underestimation of the effect of higher order mode shapes on the acceleration response

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  • Method for determining vibration mode number needed for calculating acceleration response through mode superposition method
  • Method for determining vibration mode number needed for calculating acceleration response through mode superposition method
  • Method for determining vibration mode number needed for calculating acceleration response through mode superposition method

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[0023] In order to make the technical problems, technical solutions and advantages to be solved by the present invention clearer, the following will describe in detail with reference to the drawings and specific embodiments.

[0024] The invention provides a method for determining the number of mode shapes required for calculating the acceleration response by the modal superposition method, such as figure 1 As shown, the method includes the following steps:

[0025] S1: Perform modal analysis on the structure to obtain the first N-order mode shapes {φ} of the structure i and frequency ω i (i=1,2,...,N);

[0026] S2: Calculate the mode shape participation coefficients of each order mode shape in the seismic input direction (i=1,2,…,N), where [M] is the mass matrix, {I} is the ground motion influence vector;

[0027] S3: Further calculate the mode acceleration contribution coefficient r of the i-th order mode shape of the j-th degree of freedom A,ji = γ i φ ji , where ...

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Abstract

The invention provides a method for determining vibration mode number needed for calculating acceleration response through a mode superposition method and belongs to the technical field of structure earthquake response calculation. The method includes: performing mode analysis on structure to acquire vibration mode and frequency of the structure; calculating to acquire vibration mode participationcoefficient of the structure and acceleration contribution coefficient of the vibration mode at each order, and on this basis, acquiring accumulative vibration mode acceleration contribution coefficient; determining the vibration mode number needed for calculating the acceleration response according to the accumulative vibration mode acceleration contribution coefficient. For the problem of determining the vibration mode number needed for calculating the acceleration response of the structure through the mode superposition method, the accumulative vibration mode acceleration contribution coefficient is put forward to estimate acceleration response errors caused by mode truncation. The method has the advantages of simplicity and convenience in calculation and easiness in operation.

Description

technical field [0001] The invention relates to the technical field of structural seismic response calculation, in particular to a method for determining the number of mode shapes required for calculating the acceleration response by the modal superposition method. Background technique [0002] In the field of structural dynamics calculations, the modal superposition method has become the most commonly used time-history analysis method due to its high calculation efficiency when analyzing the time-history response of structural acceleration under complex loads such as earthquakes for linear elastic systems. When performing acceleration time-history analysis, for some structures with complex structures or more degrees of freedom, it is necessary to determine the number of mode shapes required to calculate the acceleration response by the modal superposition method. [0003] In order to reasonably select the required number of mode shapes, the more commonly used methods are th...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 潘旦光李雪菊
Owner UNIV OF SCI & TECH BEIJING
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