基于频率二阶摄动的结构损伤识别方法  

Damage Detection Method Based on 2nd Order Frequency Perturbation

作　　者：杜思义[1] 殷学纲[2] 陈淮[1] 

机构地区：[1]郑州大学,郑州450002 [2]重庆大学,重庆400030

出　　处：《应用力学学报》2006年第4期613-617,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50135030)

摘　　要：结构损伤的定位和定量是结构健康监测的关键技术之一。本文将矩阵摄动理论、结构振动理论和有限元理论相结合推导出结构固有频率变化的二阶摄动公式,由此公式可以反演结构的损伤位置与损伤程度。该方法仅需要在役结构的固有频率测量值就能识别出结构的损伤位置和损伤程度,而且还可以识别出结构的老化程度。通过数值仿真算例证明了该方法的有效性和实用性。该方法可用于大型结构的损伤识别和健康监测。Determination of damage location and quantification of damage severity are important for structural health monitoring.The 2nd order perturbation formulae for frequency in damage identification are derived combining matrix perturbation theory with finite element technology.The location and severity of structural damages can be detected based on the measured natural frequency of damage structures,and the aging severity of structures can also be identified.The approach is verified to be effective and valuable by numerical simulates,especially for large structures.

关 键 词：损伤位置 损伤程度 摄动 有限元法 固有频率 

分 类 号：O329[理学—一般力学与力学基础]