未知输入下基于响应重构的结构损伤识别  

Structural Damage Identification Based on Response Reconstruction Under Unknown Input

作　　者：毛羚[1] 李书进[1] 张洲[2] MAO Ling;LI Shu-jin;ZHANG Zhou(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China;WISDRI Engineering ＆ Research Incorporation Ltd,Wuhan 430223,China)

机构地区：[1]武汉理工大学土木工程与建筑学院,湖北武汉430070 [2]中冶南方工程技术有限公司,湖北武汉430223

出　　处：《土木工程与管理学报》2018年第3期87-95,共9页Journal of Civil Engineering and Management

基　　金：国家自然科学基金(51678464)

摘　　要：本文提出一种基于响应重构和遗传算法相结合的结构损伤识别方法,在状态空间域内,输入未知、输出数据不完整情况下对结构进行损伤位置和程度的研究。该方法直接采用结构测量动力响应作为损伤指标,利用少数已知测量响应,通过状态空间域内马尔科夫系数组成的传递矩阵来重构其他目标位置的动力响应,采用重构目标位置响应和测量响应的差值构建遗传优化算法的目标函数,对未知输入、少数测点输出情况下的结构进行损伤识别。悬臂梁的数值算例和试验结果表明,在结构单损伤、多损伤以及均匀损伤情况下,同时考虑一定测量噪音水平,该方法仍能准确重构目标位置的动力响应和识别结构的损伤位置及大小,验证了该方法的正确性和有效性。The paper proposes a structural damage identification approach based on response reconstruction and genetic algorithm to research the structural damage location and extent in state space domain under unknown input and limited measurements. The measured dynamic responses are directly used as damage index in the proposed method. Firstly,the structural responses of targeted locations are reconstructed based on the transfer matrix combined with Markov coefficients in state space domain by using a few known measured responses. Furthermore,the structural damages are identified by the objective function of genetic algorithm between the reconstructed responses and measured responses under the unknown input of the structure. The accuracy and efficiency of the proposed method are verified by the numerical example and experiment of the cantilever beam. The results show that not only the structural responses of targeted locations are reconstructed accurately,but also the structural damage location and extent are identified even considering the measurement noise in the case of single damage,multiple damages and uniform damages of the structure.

关 键 词：损伤识别 响应重构 传递矩阵 状态空间 遗传算法 

分 类 号：TU312.3[建筑科学—结构工程]