随机梁式结构特征值的子结构递推求解方法

Statistic Eigenvalue Analysis of Random Beam Structures Based on Substructure Recursive Approach

将递推随机有限元法和子结构模态综合法结合起来,提出了求解随机梁式结构特征值的子结构递推求解方法。算例表明,对于较宽随机涨落范围内的随机特征值求解问题,子结构递推求解方法相对于传统的基于一阶、二阶泰勒展开的摄动随机方法而言,其结果能够更好地逼近蒙特卡罗模拟解。

A new numerical method,called as substructure recursive stochastic finite element method,which combined component modal synthesis method with recursive stochastic finite element method,was employed to study eigenvalue problems of random beam structures.The numerical examples of truss cantilever beam show that,compared with perturbation stochastic substructure method based on the first or second order of Taylor expansions,the results of the substructure recursive stochastic finite element method supposed herein are more close to that of Monte-Carlo simulation method in wide range of random fluctuation.