文献类型：期刊文献

中文题名：基于秩分析的结构损伤识别研究

英文题名：Structural damage detection based on rank analysis of its system matrix

作者：杨秋伟[1];周卫东[2];梁超锋[1]

机构：[1]绍兴文理学院土木工程系;[2]华汇工程设计集团股份有限公司

年份：2014

卷号：33

期号：15

起止页码：126

中文期刊名：振动与冲击

外文期刊名：Journal of Vibration and Shock

收录：CSTPCD、、北大核心2011、EI(收录号：20143900076949)、Scopus(收录号：2-s2.0-84907256118)、北大核心、CSCD、CSCD2013_2014

基金：国家自然科学基金(11202138;51308340);浙江省自然科学基金项目(Y1110949);浙江省中青年学科带头人资助项目

语种：中文

中文关键词：损伤识别;秩分析;柔度扰动;静力测试

外文关键词：damage detection; rank analysis; flexibility perturbation; static test

中文摘要：研究了结构损伤与系统矩阵秩变化之间的对应关系,以此为基础提出一种损伤识别方法。首先分析了结构损伤所引起的系统矩阵秩的变化,然后利用结构损伤前后的静力响应方程,推导了柔度扰动量的限定秩解计算公式,再结合柔度扰动新方法计算结构各单元损伤参数,据此确定损伤位置及损伤程度。研究表明,损伤前后结构静力位移差向量之间必然存在着线性相关性,因此,施加静力荷载的组数并非越多越好,而是只要大于柔度扰动矩阵的秩即可。由该方法所获得的柔度扰动量的限定秩解,是一种理论上的精确解,以它为基础可以获得很高精度的损伤识别结果。以桁架结构为例对所提方法进行了验证,结果表明了本文方法的可行性。

外文摘要：The static response-based structural damage identification methods have received much attention in civil engineering field in recent years. A static rank analysis of a structure＇s system matrix method was presented here for structural damage identification using its static response data and the matrix rank analysis theory. Firstly,the rank varying of a structure＇s system matrix due to its damage was analyzed and then a limited rank solution formula of structural flexibility perturbation was developed. With the flexibility change determined,the elemental damage parameters were calculated by using the new flexibility perturbation method. According to the elemental damage parameters,the damage position and damage level were determined. Being different from the existing detection techniques,using the presented method could directly compute the damage parameters with the incompletely measured static data. The efficiency of the proposed method was demonstrated with a numerical example. The effect of measurement of noise on damage detection performance of the proposed method was also investigated. The results showed the good efficiency and stability of the proposed method for the identification of damage of a structure with more than one element. For the case with 3% and10% noise,the prediction obtained was also reasonable.