结构物理参数的分频段加权辨识  

IDENTIFICATION OF THE PHYSICAL PARAMETERS BY FREQUENCY BAND WEIGHTING APPROACH

作　　者：任宜春[1] 易伟建[1] 

机构地区：[1]湖南大学土木工程学院

出　　处：《工程力学》2007年第6期21-24,20,共5页Engineering Mechanics

基　　金：国家自然科学基金(50378034);教育部博士点基金(20030532020)资助项目

摘　　要：利用小波分析多分辨率分析原理,建立线性系统多尺度动力平衡方程。将外荷载和线性系统在荷载作用下的响应作正交小波变换,得到各频段的小波系数,由多尺度动力平衡方程建立系统的参数识别方程。在不同频段根据系统的信噪比大小确定不同的加权值,对结构物理参数进行加权最小二乘辨识。该方法能较大地提高结构物理参数的识别精度,并且识别精度随着小波分解层次的增加而增大。Based on wavelet multi-resolution analytical theory, differential equation of linear structural dynamic system was decomposed and dynamic time series were described in different scales. The loads and structural responses were transformed by orthogonal wavelet and the parameter identification equation was gained by wavelet coefficients on different frequency bands. The physical parameters were obtained by weighting least-square method. The weighing values were derived by the ratio of noise to signal on different frequency band. The numerical simulations show that the proposed method can improve the identification accuracy greatly and the accuracy is raised by the level of wavelet decomposition.

关 键 词：结构工程 系统辨识 小波多分辨分析 分频段加权 多尺度动力方程 

分 类 号：TU311.3[建筑科学—结构工程]