摘要
本文基于逆特征值问题研究了均匀杆的结构探伤问题,包括确定损伤的位置和损伤程度。杆的几何参数建立的有限元模型能够由系统未发生结构损伤状态和发生结构损伤状态的各一个特征对重构。本文基于这种重构给出了杆结构探伤的逆特征值方法,进行了理论分析,并给出了数值算法。
This paper discusses the damage detection problem in a homogeneous rod, and shows how to find the location and severity of damage in the rod. It is shown that a finite element model based on the geometric parameters of the rod can be reconstructed from two eigenpairs, that is, one eigenpair of the undamaged state and the other one of the damaged state. This reconstruction permits the development of an inverse eigenvalue procedure for damage detection. A numerical algorithm is finally given.
出处
《工程数学学报》
CSCD
北大核心
2008年第6期1023-1028,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10271055)
江苏省自然科学基金(BK2006568)
关键词
杆
结构探伤
逆特征值问题
rods
damage detection
inverse eigenvalue problem
