冲击环境下相依竞争失效串联系统的可靠性分析

Reliability Analysis of Competing Failure Systems under Shock Environments with Series Dependence

摘要: 本文主要研究了相依竞争失效过程串联系统的可靠性分析，其中采用具有不同退化速率和冲击损伤的线性路径模型来描述部件的软失效过程，利用极值冲击模型和非齐次泊松过程过程建立了硬失效过程可靠性模型。系统的相互依赖行为主要体现在系统中部件之间的相互依赖以及软故障过程和硬故障过程之间复杂的相互依赖关系。在多重相依模型下，利用随机过程理论和概率论的方法，导出了串联系统可靠性的显式表达式。

Abstract: This paper focuses on the reliability analysis of series systems subject to interdependent competing failure processes. A linear path model with different degradation rates and impact damage is adopted to characterize the soft failure process of components, while the reliability model for the hard failure process is constructed by combining the extreme shock model with the non-homogeneous Poisson process. The mutual dependence behavior is mainly reflected in the dependence among components within the system and the intricate interdependence between the soft and hard failure processes. Under the multiple-dependence modeling framework, an explicit expression for the reliability of the series system is derived by means of stochastic-process theory and probability theory.