基于最大可能点摄动法的相关系数可靠性灵敏度分析  

MPPPM-based Analysis of Reliability-based Sensitivity of Correlation Coefficients

作　　者：张义民[1] 王世鹏[2] 刘巧伶[2] 解艳彩[2] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110004 [2]吉林大学机械科学与工程学院,吉林长春130025

出　　处：《东北大学学报（自然科学版）》2008年第6期872-876,共5页Journal of Northeastern University(Natural Science)

基　　金：国家高技术研究发展计划项目(2007AA04Z442);国家自然科学基金重点资助项目(50535010);辽宁省高等学校创新团队资助项目

摘　　要：讨论随机变量间相关系数在可靠性分析中的重要性和相关系数可靠性灵敏度问题.在可直接处理基本随机变量不相互独立问题的可靠性分析的最大可能点摄动法的基础上,进行了相关系数在可靠性分析中的重要性和相关系数的灵敏度分析.通过相关系数的可靠性灵敏度分析,得到了相关系数的改变对结构可靠性的影响.通过实例计算,说明文中方法在工程实际中的应用.为确定相关系数在可靠性分析中的重要性、对结构可靠性的影响以及影响程度提供分析方法,为统计分析工作以及可靠性设计提供有益的参考.Discusses the importance of correlation coefficients between random space variables in the reliability analysis and the reliability-based sensitivity of those correlation coefficients. Based on the MPPPM for the reliability analysis where the basic random variables are non-independent with each other and can be processed directly, the analysis of the importance and sensitivity mentioned above are carried out. Then, the effect of changing correlation coefficient on the structural reliability is obtained by the reliability-based sensitivity analysis of correlation coefficients. A numerical example is given to show how the method proposed is applied to practical project. The results illustrate the importance of correlation coefficients in reliability analysis and how it affects the structural reliability, thus providing a reference beneficial to statistics especially the reliability design.

关 键 词：机械设计 最大可能点摄动法 相关系数 灵敏度 

分 类 号：TH122[机械工程—机械设计及理论]