考虑不适定性处理的结构损伤识别新方法  

A new damage detection method with the ill-posedness processing

作　　者：王艺霖[1] 方从启[1] 

机构地区：[1]上海交通大学土木工程系,上海200240

出　　处：《西安建筑科技大学学报（自然科学版）》2010年第2期169-173,共5页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

摘　　要：针对结构损伤识别中的不适定性问题提出了一种有效实用的处理方法.首先可以利用目前先进的自动监测和人工检测技术来获取损伤的出现和位置信息,然后基于结构在静力荷载作用下的位移观测数据来计算损伤的定量程度.本方法从结构静力平衡方程出发,结合有限元法,提出了一个三步骤的损伤程度定量识别算法.在求解中引入了Tikhonov正则化方法以处理求解的不稳定问题.本方法可以显著地改善不适定性并在一定程度上处理位移和荷载数据中的误差.通过对一个带有切削损伤的简支梁进行试验来证明了本算法的有效性,而且正则化方法的作用还可通过刚度矩阵条件数的减小来明确衡量.This paper provides an effective and practical damage detection approach for structures through the processing of ill-posedness. The occurrence and location of damage by existing advanced automatic or manual techniques （devices） and then quantify the severity of the damage based on the static response of structure are detected. With a combination of structure static balance analysis with the finite element method, Tikhonov regularization is introduced to process the prob- lem of calculation instability. The ill-posed attribute can be alleviated markedly through this kind of cooperation and the noise in displacement and load data can be dealt with synchronously. Finally, this three-stages algorithm to a simply sup- ported beam with experimental data is successfully applied. Good agreement with actual cut damages varying in severity is observed. The effect of regularization can be shown obviously by the condition number reduction of stiffness matrix.

关 键 词：损伤 识别 静力位移 不适定 正则化 

分 类 号：TU317[建筑科学—结构工程]