同时考虑故障相关和变故障率的可修系统可靠性计算

基于Copula相关性理论,考虑可修系统零部件工作寿命、故障部件修复时间之间的正相关性,且将零件工作寿命、修复时间放宽到一般连续分布,而不局限于指数分布.提出微时间差t→t+△t内系统一步状态转移矩阵概念,进而演算出状态转移密度矩阵,经系统状态方程,分别给出了任意时刻t单部件、串联型、二不同单元和一修理工组成的并联可修系统的可用度和稳态可用度计算模型.通过算例,说明该理论方法的可行性.

Reliability Calculation Model for Repairable Systems Considering Fault Correlation and Variable Failure Rate

Considered the positive correlation existed in lifetimes of components and repair times of the failure units belonged to the same repairable system based on Copula theories,and extended the distributions for working times and repair times of the components to the general continuous types,rather than confined to exponential distribution.Presented the concept of one step state transition matrix for repairable systems in minimal time difference t→t +Δt, then turned out the state transition density matrix,by solving a system state equation,given availability at any timetand steady-state availability computing models for single-component, series type,parallel repairable system consisting of two different units and a repairman respectively. A practical case calculation demonstrates the feasibility and effectiveness of the theory.