基于振型加权模态柔度的梁桥损伤识别方法  

Damage identification method for beam bridge based on mode shape weighted modal flexibility

作　　者：唐盛华[1] 周楠[1] 方志[2] 苏彬建 TANG Shenghua;ZHOU Nan;FANG Zhi;SU Binjian(College of Civil Engineering and Mechanics, Key Laboratory of Dynamics and Reliability of Structures, College of Hunan Province, Xiangtan University, Xiangtan 411105, China;College of Civil Engineering, Hunan University, Changsha 410012, China)

机构地区：[1]湘潭大学土木工程与力学学院,湘潭大学工程结构动力学与可靠性分析湖南省高等学校重点实验室,湖南湘潭411105 [2]湖南大学土木工程学院,湖南长沙410012

出　　处：《地震工程与工程振动》2017年第6期98-106,共9页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(51508488);“工程结构动力学与可靠性分析湖南省高等学校重点实验室(湘潭大学)”开放课题资助项目~~

摘　　要：为了采用结构柔度矩阵进行损伤识别,由均匀荷载面曲率差指标推导出一种加权柔度矩阵指标构造方法,权值分别取振型、振型曲率和、振型曲率符号函数构造出三个新的损伤指标。基于结构损伤前后指标的相对变化及节点损伤程度和单元损伤程度的关系,提出了指标的结构损伤程度计算方法。采用一简支梁和一三跨连续梁算例,考虑多种损伤情况,与均匀荷载面曲率差指标进行了对比分析,表明振型曲率符号函数加权损伤指标仅需前几阶模态便能进行损伤检测,具有良好的损伤定位能力,并能准确识别损伤程度。In order to identify structural damage by using the identification method was derived from the change in uniform flexibility matrix, a weighted flexibility matrix damage load surface curvature （ULSC） , three new indicators were constructed through using the mode shape, sum of mode shape curvature and sign function of mode shape cur- vature as the weight, respectively. Based on the relative changes of the indicator before and after structural damage and the relationship between nodal damage degree and elemental damage degree, the structural damage degree i- dentification method was proposed. The simulation results of a simply supported beam and a three-span continuous beam were used to verify the new indicators in a variety of damage cases. Compared with the ULSC, it shows that the indicator weighted by sign function of mode shape curvature can effectively identify damage with only a few low order modal parameters. The new indicator has a good damage localization ability, furthermore, it can accurately i- dentify the damage degree.

关 键 词：损伤识别 损伤程度 梁桥 柔度 曲率 振型 

分 类 号：O327[理学—一般力学与力学基础] TU311.3[理学—力学]