基于小波变换的结构地震响应与能量计算分析  

Earthquake response analysis and energy calculation based on wavelet transform

作　　者：吴琛[1] 周瑞忠[1] 

机构地区：[1]福州大学土木建筑工程学院,福建福州350002

出　　处：《地震工程与工程振动》2006年第6期24-30,共7页Earthquake Engineering and Engineering Dynamics

基　　金：高等学校博士学科点专项科研基金项目(20040386004)

摘　　要：多分辨分析可将地震信号分解到不同的频段。本文推导了运用多分辨分析计算多自由度体系地震响应的基本公式,讨论了各频段地震信号及结构响应的能量分配。最后,通过多自由度体系的算例验证了弹性体系在原始地震作用下的动力响应可以由该地震作用在时域的各小波分量的动力响应叠加而得,同时将高频抑制后的重构信号应用于近似模型的计算,并利用能量分析明确了地震信号与结构响应在各频段的能量分配。Any seismic signal can be decomposed to some frequency channels by multi-resolution analysis. Using this method, earthquake responses of MDOF system are deduced in this paper and seismic signals and displacement energies in distinct frequency channel are discussed. With the examples of MDOF system, an argument that in elastic system total earthquake responses can be obtained by adding all the dynamic response contributions of distinct frequency channel is demonstrated and the reconstructed signal after restraining high frequency is applied to an approximate model. With the energy analysis, the signal and response contributions of distinct frequency channel are clarified.

关 键 词：小波变换 多分辨分析 结构地震响应 能量分析 

分 类 号：P315.96[天文地球—地震学] TN911.73[天文地球—固体地球物理学]