基于性能指标融合的随机退化系统竞争失效分析

With the aim of solving the reliability modeling and calculation of multivariate stochastic degradation systems,two stochastic degradation models based on the bivariate Wiener process are proposed,in which two performance characteristics are composited to one variable. Two different failure modes including the defect-based failure and the duration-based failure are considered. The explicit expressions of the system reliability are derived in the cases that the performance characteristics are not composited or the performance characteristics are composited according to the linear combination of the degradation measurements. An algorithm based on the Monte Carlo simulation is proposed to simulate the degradation process,in which the performance characteristics are composited in arbitrary forms,and the correctness of the analytical results is also verified. Finally,some numerical examples are presented to illustrate the present reliability assessment method.