Improved influence matrix method for high-low frequency band alternation and target spectrum matching

Abstract

The invention discloses an improved influence matrix method for high-low frequency band alternation and target spectrum matching, which comprises the following steps: all intrinsic functions are selected in a low frequency band and intrinsic functions of which the intrinsic frequencies are in one-to-one correspondence with frequency calculation points of a target spectrum in a high frequency bandas a group of primary functions to decompose seismic waves, so that the dimension of an influence matrix is greatly reduced; the influence of different frequency components on each other and the difference of contribution values to the target spectrum are considered, and the reaction spectrum is gradually close to the target design spectrum within the full frequency range by alternately adjustingthe amplitude coefficients of the full-band and high-band intrinsic functions, so that a very good matching effect can be achieved within the key attention frequency range of a project. The method overcomes the defects that in an existing response spectrum matching influence matrix method, the influence matrix dimension is large in the iteration process, the calculation efficiency is low, and different requirements of high frequency bands and low frequency bands cannot be met at the same time. Therefore, the dynamic time-history response analysis efficiency of the important engineering structure is greatly improved, and the precision and reliability are high.

Description

Technical field [0001] The invention relates to a structural seismic design and analysis method, in particular to an improved influence matrix method in which high and low frequency bands are alternately matched with a target spectrum. Background technique [0002] Seismic design time history, including design acceleration time history, design speed time history and design displacement time history, have very important applications in seismic design and analysis. The seismic time history used for structural seismic design and analysis needs to match the target specification design spectrum within the frequency range of the engineering application, that is, the relative error between the response spectrum of the seismic design time history and the target specification design spectrum is within the range required by the specification Inside. At the same time, the acceleration, velocity, and displacement values ​​must be equal to zero at the start and end moments, and the relations...

AI Technical Summary

Problems solved by technology

However, for projects with higher requirements for accuracy in the middle and high frequency bands, or target spectra that are more difficult to match in the high frequency band, it takes a lot of time for the influence matrix method to achieve the preset accuracy

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