基于有限元法的结构损伤同伦延拓识别法

Homotopy Algorithms of Structure's Damage Identification Based on FEM

在对工程结构损伤识别问题进行研究的基础上 ,提出了基于有限元方法和同伦延拓法的损伤识别方法 ,并采用该方法对损伤简支梁进行了损伤程度的识别。数值实验结果表明该方法对初始值敏感度低、收敛性好 。

A new method was researched for structure's damage identification on the basis of researching the damage problem of engineering structure. Based on the combination of finite element method and homotopy continuation algorithms, it identified the damage grade of beam with different kinds of damages. The identification results proved that the new method more efficient and accurate than traditional iterative methods.