Statistic Eigenvalue Analysis of Engineering Structures Based on Substructure Recursive Stochastic Finite Element Method

摘要

A new numerical method that combines component modal synthesis method with recursive stochastic finite element method (RSFEM) is used to study random eigenvalue problems. This method is called as substructure recursive stochastic finite element method. For comparison with traditional method the derivative process of two order perturbation stochastic FEM incorporating with component modal synthesis method is presented which is called as two order perturbation stochastic substructure method. The numerical examples show that compared with perturbation stochastic substructure method, the results of substructure recursive stochastic finite element method are more close to those from Monte-Carlo method in wide range of random fluctuation.