摄动有限元法在结构动力模型修改中的应用

本文将摄动理论与有限元法相结合,提出了用于小变参数结构分析的摄动有限元法(P-FEM),导出了在结构参数发生小变化的情况下,结构摄动单元矩阵的一般公式及结构的动特性随结构参数变化的二阶渐近展开式,并将这一结果运用于结构的动力模型修改中,提出了一种新的适合于工程应用的结构动力模型修改方法,把这一方法应用于实际的复杂结构动力模型修改中,获得了十分满意的结果.

The Application of Perturbation Finite Element Method in Dynamic Model Updating of Structure

According to the perturbation theory and the finite element method, a perturbation finite element method (P-FEM), which can be used in the analysis of a structure with parameter uncertainties, is persented in this paper. The perturbation element matrices and the second order approximation of Taylor series between the structural parameters and the dynamic characteristics of structure are dervied in the case of small variation of structural parameters. Applying the P-FEM to the structural model updating procedure, we developed a new model updating method that is more workable in engineering. The result of using this method into the model updating procedure of a real complex structure is very good.