振动响应二次协方差矩阵参数在梁式结构损伤识别中的应用  

Application of quadratic covariance matrix parameters of vibration response to damage identification in beam structure

作　　者：李苗[1] 晏世昌 尹婷芳 王祖亮 LI Miao;YAN Shichang;YIN Tingfang;WANG Zuliang(School of Civil Engineering,Hunan City University,Yiyang,Hunan 413000,China;China Construction Fifth Engineering Bureau Co.,Ltd,Dongguan Branch,Dongguan,Guangdong 523000,China)

机构地区：[1]湖南城市学院土木工程学院,湖南益阳413000 [2]中国建筑第五工程局有限公司东莞分公司,广东东莞523000

出　　处：《湖南城市学院学报(自然科学版)》2025年第1期1-7,共7页Journal of Hunan City University:Natural Science

基　　金：湖南省自然科学基金项目(2021JJ50145);湖南省大学生创新创业训练计划项目(S202111527030)。

摘　　要：本文提出了基于随机振动响应二次协方差矩阵参数的结构损伤识别方法。首先,证明了在白噪声随机激励作用下,结构动应变的二次协方差矩阵参数是结构模态参数(如频率、振型等)的函数,且结构的损伤会引起二次协方差矩阵参数的改变;然后,通过简支钢梁的有限元数值模拟和试验,并利用测点响应的二次协方差矩阵参数向量变化,构造了损伤识别指标对结构损伤进行判定。研究结果证明了该结构损伤识别方法的有效性。A structural damage identification method based on quadratic covariance matrix parameters of random vibration response is proposed.Firstly,it is proved that the quadratic covariance matrix parameters of the dynamic strain of the structure under the random excitation of white noise are functions of the structural modal parameters(such as frequency,mode shape,etc.),and the damage of the structure will cause the change of the quadratic covariance matrix parameters.Then,through the finite element numerical simulation and test of the simply supported steel beam,and using the parameter vector change of the quadratic covariance matrix in the response of the measuring point,the damage identification index is constructed to judge the structural damage.The analysis results prove the effectiveness of the structural damage identification method.

关 键 词：损伤识别 二次协方差矩阵 应变响应 

分 类 号：TU375.4[建筑科学—结构工程]