基于摄动有限元方法对梁结构损伤的识别  

Damage detection of the beam based on perturbation matrix

作　　者：杜思义[1] 殷学纲[1] 张卫民[2] 陈淮[3] 

机构地区：[1]重庆大学资环学院,重庆400045 [2]中国矿业大学北京校区,北京100083 [3]郑州大学土木工程学院,河南郑州450002

出　　处：《世界地震工程》2006年第2期114-118,共5页World Earthquake Engineering

摘　　要：结构损伤的定量识别是工程技术中急待解决的问题。利用矩阵摄动和结构有限元动力学理论推出梁结构损伤程度定量识别的公式和方法,该方法仅需要在役结构的固有频率测量值就可识别结构的损伤位置和损伤程度,而且可以识别结构的老化程度,避免了由模态振型识别损伤,因测量自由度不足带来的误差,通过对一钢悬臂梁损伤识别的数值仿真,证明了该方法的有效性。该方法具有较大的工程应用价值。Quantifying identification of structural damage is an anxious question to be solved in the engineering technology fields. The formulae and method of the quantifying identification of the structural damage extent on a dimension beam are presented by the perturbation matrix and FEM dynamic analysis of structures in the paper. The locations and extent of the structural damage can be detected by the method only from measured natural frequencies of damaged structures, and the aging extent of the structures can also be identified. It avoided the error of the mode identifying methods because of insufficiency degrees of freedom measured. The method is proved to be effective and valuable by the numerical simulation of damage detection on a steel beam.

关 键 词：损伤识别 矩阵摄动 固有频率 有限元 

分 类 号：P315.9[天文地球—地震学]