基于小波变换的结构地震响应分析方法的改进

An Improved Method of Seismic Response Analysis of Structures Based on Wavelet Transformation

针对现有线性结构非平稳地震响应分析的小波方法中存在计算效率较低的问题,提出了一种求解时频响应的改进方法,即将原地震信号直接输入结构,求得结构响应,再对该响应进行小波分解和重构,得到结构在各频段的响应,反映出结构响应的时频特性.利用小波变换中多分辨率分析的思想及线性结构响应求解的振型分解法,证明了改进方法与现有方法计算结果的一致性.通过算例,说明了改进方法的正确性.

Nonstationary structural response is currently an active area of interest in earthquake engineering.Low computational efficiency is problematic for nonstationary seismic responses of linear structures based on wavelet transformation.An improved method is thus proposed whereby seismic responses are obtained with time-frequency characteristics.Seismic signals were inputted directly into the structure and seismic responses were obtained by time domain analysis.The response of different scales and time-frequency characters of the seismic response were then reflected by wavelet decomposition and reconstruction.Using multi-resolution analysis（MRA） of wavelet transformation and modal analysis of the structural response,results from this new modified method were shown to be consistent with results of the existing conventional method.A numerical example illustrates the accuracy of the new method.