文献类型：期刊文献

中文题名：基于最小秩柔度的梁结构无模型损伤定位方法

英文题名：DAMAGE LOCALIZATION FOR BEAM STRUCTURES BY THE MINIMUM-RANK FLEXIBILITY CHANGE WITHOUT FEM MODEL

作者：周卫东[1];杨秋伟[2];赵卫[3]

机构：[1]华汇工程设计集团股份有限公司;[2]绍兴文理学院土木工程系;[3]暨南大学重大工程灾害与控制教育部重点实验室

年份：2014

卷号：36

期号：3

起止页码：470

中文期刊名：机械强度

外文期刊名：Journal of Mechanical Strength

收录：CSTPCD、、北大核心2011、Scopus、北大核心、CSCD、CSCD2013_2014

基金：国家自然科学基金(11202138);浙江省自然科学基金(Y1110949)~~

语种：中文

中文关键词：损伤定位;柔度;静力参数;最小秩;梁结构

外文关键词：Damage localization ; Flexibility ; Static data ; Minimum rank; Beam structures

中文摘要：提出一种不需要有限元建模的梁结构损伤定位方法。基于最小秩理论,利用结构损伤前后的静力响应方程,推导了柔度改变量的静力最小秩解计算公式,并据此来定位结构的损伤位置,分析了所提方法相比传统的动柔度损伤定位方法的优势。研究表明,本文所提的柔度扰动量的静力最小秩解,是一种理论上的精确解,避免了动柔度方法中忽略高阶模态所致的不利因素,可以获得比动柔度方法精度更高的损伤定位结果。而且,所提方法不需要建立结构的有限元模型,只需要测量损伤前后结构在施加的静力荷载作用下的部分位移参数即可进行,是一种简便易行的实用方法。以两个梁结构为例对所提方法进行了验证,结果表明了方法的可行性。

外文摘要：A flexibility difference method based on the minimum-rank solution for locating damage in beam structures has been proposed in this paper. This method is based on the estimation of changes in the flexibility matrix by using the static response data and the minimum rank update theory. The main advantage of using the static data rather than dynamic data is that the static equilibrium equation is solely related to the structural stiffness, and accurate static response data can be obtained rapidly and cheaply. As distinct from the existing minimum-rank methods, the presented method can directly compute the flexibility perturbation using the incomplete measured static data. Moreover, the proposed theory provides an insight to the appropriate number of the applied static loads for structural damage detection. The efficiency of the proposed method is demonstrated by two numerical examples. The results show the good efficiency and stability of the proposed method on the localization of damage. It has been shown that the proposed procedure may be a promising method in structural damage localization.