基于奇异值分解和小波分析的结构模态参数识别  

Extraction of the Structural Modal Parameters Based on the Singular Value Decomposition and Wavelet Transform

作　　者：熊红霞[1] 刘沐宇[2] 刘可文[3] 

机构地区：[1]武汉理工大学土木工程与建筑学院,湖北武汉430070 [2]武汉理工大学道路桥梁与结构工程湖北省重点实验室,湖北武汉430070 [3]武汉理工大学信息工程学院,湖北武汉430070

出　　处：《华中科技大学学报（城市科学版）》2008年第2期64-68,共5页Journal of Huazhong University of Science and Technology

摘　　要：提出了一种新的基于奇异值分解(SVD)和小波分析的结构模态参数识别方法。获得结构在随机荷载作用下的加速度响应,对其进行相关分析可得到相关系数矩阵。将小波变换用于分解相关系数矩阵可得到小波系数矩阵,用奇异值分解小波系数矩阵可精确地识别出模态参数。通过数值算例和实际测试获得的结构信号验证了该方法的可行性。研究结果表明SVD方法与小波分析的结合能够方便准确地寻找出结构的小波脊,其获得的信息可靠度也更高,适用于多自由度结构的模态参数识别。A new method which can identify the structural Value decomposition and wavelet transform was put modal parameters exactly based on singular forward. It assumed that the structural acceleration response can be achieved under the random load , we can make correlative analysisprocess of the acceleration response and form the correlation coefficient matrix o The wavelet coefficient matrix can be achieved if the wavelet transform was used to covert the correlative coefficient matrix. Then the singular value decomposition was used to decompose the wavelet coefficient matrix of the same scales and can extract the model parameters exactly. The results show that the method based on the Singular Value Decomposition and Wavelet Transform can extract the Wavelet ridge of the structure conveniently and exactly. The method was validated by a numerical example and actual test signals, and it can be used to extract the modal parameters of multi-degree freedom structures.

关 键 词：奇异值分解 小波变换 模态参数识别 

分 类 号：TU311.3[建筑科学—结构工程]