中国机械工程2011,Vol.22Issue(3):278-282,5.
失效模式相关的机械结构可靠性的 Copula分析方法
Copula Analysis of Structural Systems Reliability with Correlated Failure Mode
摘要
Abstract
Several kinds of Copula functions were introduced, which were used for correlation analysis. Aiming at engineering structural systems with failure-dependence, a new method was put forward for reliability modeling by introducing mixed Copula. Copula model of joint probability distribution function was built among every limit state equations, where every limit state equation value was chosen as the analytic variables of Copula function and unknown parameters of Copula were estimated by means of the random sampling data generated by Monte Carlo simulation and using residual square sum method in MATLAB software, thereby failure probability of the machine components was got by Copula function. Finally, a practical case of Copula demonstrates the feasibility of the method,which gives a new way for the reliability analysis of structural system with correlated failure modes.关键词
联合概率分布函数/失效模式相关/可靠性/混合Copula/蒙特卡罗法Key words
joint probability distribution function/ correlated failure mode/ reliability/ mixed Copula/ Monte Carlo分类
机械制造引用本文复制引用
韩文钦,周金宇,孙奎洲..失效模式相关的机械结构可靠性的 Copula分析方法[J].中国机械工程,2011,22(3):278-282,5.基金项目
国家自然科学基金资助项目(50805070) (50805070)