有备件串联系统的可靠性分析模型

针对复杂机械系统求解可靠性指标困难的问题,提出一种有备件串联系统的可靠性分析模型.该模型中机械系统可以等效为由冷贮备系统串联而成的系统.当构成系统各部件的寿命分布和故障后修理时间分布均为指数分布时,这样的系统就可以用马尔科夫过程来描述.在部件寿命不相互独立、维修时间相互独立并且故障部件可以修复如新的情况下,建立该系统的模型.通过状态转移率矩阵,给出了系统可用度、可靠度及首次故障前平均时间等指标的计算方法.通过讨论说明该模型同样适用于不可修复的系统.

Reliability Model of Series System with Spare Parts

A reliability analysis model was developed for the series system with spare parts to solve the reliability index of complex mechanical systems. The system can be transformed into an equivalent one constructed with cold standby systems in series. When the life span and repair time of the parts obey exponential distributions, the system can be described by the Markov process. In the case of correlative life and irrelative repair time distributions and the failure parts can be repaired as good as new, the system model was built. The formulae of the system availability, reliability and mean time to first failure were derived by solving the state transition probability matrix. The results showed the model is suitable for unrepairable systems too.