可靠性分析的最大可能点摄动法  

A Most Probable Point Perturbation Method for Reliability Analysis

作　　者：张义民[1] 王世鹏[2] 解艳彩[2] 

机构地区：[1]东北大学,沈阳110004 [2]吉林大学,长春130022

出　　处：《中国机械工程》2008年第8期886-888,938,共4页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50375156);辽宁省自然科学基金资助项目(20052034)

摘　　要：讨论随机变量间不相互独立的可靠性计算问题。基于摄动法和可靠性理论,针对JC法在计算结构可靠度时不能直接处理不相互独立的可靠性计算问题,提出了一种扩展的JC法即最大可能点摄动法,该方法继承JC法收敛快、精度高等特点,同时也克服了JC法对相关变量的求解过程中需要正交变换的要求。编写相应计算程序,实例计算结果与蒙特卡洛数值模拟结果的对比验证了最大可能点摄动法的正确性、有效性。To improve the efficiency of locating the most probable point （MPP）, a novel MPP search algorithm was presented that employed a new search strategy. Techniques from the perturbation method and the reliability theory were employed to present a most probable point perturbation method （MPPPM） for reliability analysis and the proposed method is a practical and effective for searching MPP. The method was compared with the Monte Carlo simulation（MCS） method to verify the effectiveness. Two numerical examples are given to illustrate the application of the presented method.

关 键 词：可靠度 最大可能点摄动法 相关系数 蒙特卡洛模拟 

分 类 号：TH122[机械工程—机械设计及理论]