结构损伤识别的二次反馈岭估计法  

SECONDARY FEEDBACK RIDGE ESTIMATION METHOD FOR STRUCTURAL DAMAGE DETECTION

作　　者：李翠 朱学坤[2] 俞记生 伍晓顺 LI Cui;ZHU XueKun;YU JiSheng;WU XiaoShun(Department of Information Engineering,Jiangxi Vocational and Technical College of Communications,Nanchang 330013,China;Department of Road and Bridge Engineering,Jiangxi Vocational and Technical College of Communications,Nanchang 330013,China;Zhongjiao Yangtze River Consulting Group Co.,Ltd.,Nanchang 330013,China;School of Civil Engineering and Surveying&Mapping Engineering(Nanchang),Jiangxi University of Science and Technology,Nanchang 330013,China)

机构地区：[1]江西交通职业技术学院信息工程学院,南昌330013 [2]江西交通职业技术学院路桥工程学院,南昌330013 [3]中交长江咨询集团有限公司,南昌330013 [4]江西理工大学土木与测绘工程学院(南昌),南昌330013

出　　处：《机械强度》2024年第4期932-938,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(51868026);江西省自然科学基金项目(20202BAB204028);江西省交通运输厅科技项目(2023H0039)资助。

摘　　要：为了克服灵敏度方程的病态最小二乘问题,提出一种基于模态柔度变化的结构损伤识别二次反馈岭估计法。采用模态特征值和振型来组集模态柔度矩阵,建立由模态柔度变化求解单元损伤系数的损伤识别线性方程组。在损伤定位阶段,先分别利用非负最小二乘法和反馈岭估计法来初步评估损伤位置。由于这两种方法的损伤定位结果常受到不同未损单元的干扰,所以通过对它们的计算结果取交集来综合确定疑似损伤单元。在损伤定量阶段,将正则化矩阵中对应疑似损伤单元的对角元素缩小,同时将对应其余单元的对角元素放大,进行二次反馈岭估计以最终完成损伤定量识别。某简支梁数值分析表明,相比非负最小二乘法和反馈岭估计法,所提方法具有更强的抗噪鲁棒性。无论是损伤定位还是损伤定量,均具有更加可靠的识别精度。To overcome the ill⁃posed least square problem in sensitivity equations,a secondary feedback ridge estimation method was proposed to detect structural damages based on modal flexibility changes.Modal eigenvalues and mode shapes were utilized to assemble the modal flexibility matrix,which was used to establish linear equations for detecting elemental damage severities by modal flexibility changes.During the damage localization stage,damage sites were primarily assessed using the non⁃negative least square method and the feedback ridge technique.Since the damage localization results obtained by the two methods were typically disturbed by different undamaged elements,suspicious damaged elements were comprehensively determined by taking the intersection of the two sets of damage localization results.At the damage quantification stage,the diagonal entries of the regularization matrix corresponding to suspicious elements were decreased and the diagonal entries associated with other elements were augmented.Then the second feedback ridge estimation was conducted to accomplish damage quantification.The numerical analysis of a simply supported beam indicates that the proposed method is more robust in resisting noise,compared with the non⁃negative least square method and feedback ridge estimation technique.Regardless of whether it is damage localization or damage quantification,the proposed method demonstrates higher reliability in detecting accuracy.

关 键 词：损伤识别 模态柔度 模态识别 结构健康监测 损伤灵敏度 

分 类 号：TU311[建筑科学—结构工程] O327[理学—一般力学与力学基础] O329[理学—力学]