东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (10): 1461-1464.DOI: -

• 论著 • 上一篇    下一篇

有备件串联系统的可靠性分析模型

印明昂;孙志礼;王宇宁;王雨;   

  1. 东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 出版日期:2012-10-15 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家科技重大专项(2009ZX04014-014)

Reliability model of series system with spare parts

Yin, Ming-Ang (1); Sun, Zhi-Li (1); Wang, Yu-Ning (1); Wang, Yu (1)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Online:2012-10-15 Published:2013-04-04
  • Contact: Yin, M.-A.
  • About author:-
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摘要： 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.

关键词: 系统可靠性, 维修性, 马尔科夫过程, 冷贮备系统, 串联系统

Abstract: 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.

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