摘要
为了解决结构的多损伤识别问题,提出了一种基于应变能等效指标的损伤识别方法.首先给出了损伤前后模态应变能变化的表达式以及能量耗散公式,然后根据结构的能量耗散与应变能的变化值等价的原理,建立了一个四阶等效方程,最后求出了该方程的四个根,并通过对该方程四个根的分析得到了一个应变能等效指标,通过该指标可以方便的求解损伤的位置和程度.数值仿真结果表明,基于应变能等效指标的损伤识别方法不仅可以精确的识别出损伤的位置和程度,而且其识别精度明显好于应变能耗散率方法.
In order to solve structural multi-damage identification problem,a damage detection method based on strain energy equivalence index is presented. The expressions for the change of modal strain energy（MSE） before and after damage and the dissipation ratio are given. Considering that the strain energy dissipation and the change of MSE should be equivalent, we deduced a quartic equation. Then, four roots are obtained by solving this equation,and a strain energy equivalence index is presented, by which the location and extent of the structural damage can conveniently calculated. The simulation results show that the pres- ent method has better accuracy compared with the model strain energy dissipation ration method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2013年第3期286-291,共6页
Chinese Journal of Solid Mechanics
基金
重庆市科委自然科学基金资助项目(2010BB4208)资助
关键词
损伤识别
模态应变能
等效指标
位移模态
耗散率
damage identification
modal strain energy
equivalence index
mode shape
dissipation ratio
