基于随机有限元法的可靠性分析方法概述  

Summary of Reliability Analysis Methods Based on Stochastic Finite Element Method

作　　者：石春明[1] 赵敏敏 韩璇璇[1] 王勇 SHI Chunming;ZHAO Minmin;HAN Xuanxuan;WANG Yong(Northwest Institute of Mechanical&Electrical Engineering,Xianyang 712099,China;Guangzhou Mechanical Engineering Research Institute Co.,Ltd,Guangzhou 510700,China)

机构地区：[1]西北机电工程研究所,陕西咸阳712099 [2]广州机械科学研究院有限公司,广东广州510700

出　　处：《橡胶工业》2023年第4期305-310,共6页China Rubber Industry

基　　金：国家重点研发计划项目(SQ2021YFB3400095)。

摘　　要：基于随机有限元法的可靠性分析方法研究现状,介绍4种常用的随机有限元法:直接蒙特卡洛法、Taylor展开随机有限元法、摄动随机有限元法和Neumann展开随机有限元法,重点介绍了5种基于随机有限元法的可靠性分析方法:应力-强度积分法、功能函数积分法、可靠度指标计算法、随机抽样法和响应面法,并对可靠性研究需要开展的下一步工作进行了探讨。In this paper,the research status of reliability analysis methods based on stochastic finite element method was presented,and four commonly used stochastic finite element methods were introduced:direct Monte-Carlo method,Taylor expansion stochastic finite element method,perturbation stochastic finite element method and Neumann expansion stochastic finite element method.Then,five reliability analysis methods based on the stochastic finite element method were mainly discussed:stress-strength integration method,functional function integration method,reliability index calculation method,random sampling method and response surface method.Furthermore,the next step of reliability research was discussed.

关 键 词：随机有限元法 可靠性 应力-强度积分法 功能函数积分法 可靠度指标计算法 随机抽样法 响应面法 

分 类 号：O241.82[理学—计算数学]