Study on High Order Perturbation-based Nonlinear Stochastic Finite Element Method for Dynamic Problems  

结构动力学基于摄动法的高阶非线性随机有限元方法研究(英文)

作　　者：王庆 姚竞争 

机构地区：[1]Multihull Ship Technology Key Laboratory of Fundamental Science for National Defense,Harbin Engineering University

出　　处：《Journal of Marine Science and Application》2010年第4期386-392,共7页船舶与海洋工程学报（英文版）

摘　　要：Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for large variation nonlinear dynamic problems. For this purpose, algorithms and a framework related to SFEM based on the stochastic virtual work principle were studied. To prove the validity and practicality of the algorithms and framework, numerical examples for nonlinear dynamic problems with large variations were calculated and compared with the Monte-Carlo Simulation method. This comparison shows that the proposed approaches are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.

关 键 词：HIGH-ORDER stochastic variational principle nonlinear SFEM perturbation technique 

分 类 号：O241.82[理学—计算数学]