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兵工学报 ›› 2015, Vol. 36 ›› Issue (7): 1326-1333.doi: 10.3969/j.issn.1000-1093.2015.07.023

• 论文 • 上一篇    下一篇

失效相关系统的失效概率模型与寿命概率分布特征研究

王正1, 王增全1, 谢里阳2,3   

  1. (1.中国北方发动机研究所 柴油机增压技术重点实验室, 天津 300400; 2.东北大学 现代设计与分析研究所, 辽宁 沈阳 110819;
  • 收稿日期:2014-12-25 修回日期:2014-12-25 上线日期:2015-09-21
  • 通讯作者: 王正 E-mail:wzneu@126.com
  • 作者简介:王正(1981—),男,研究员
  • 基金资助:
    国家自然科学基金项目(51375465)

Research on the Failure Probability Models and Life Probability Characteristics of Systems with Dependent Failure

WANG Zheng1, WANG Zeng-quan1, XIE Li-yang2,3   

  1. (1.National Key Laboratory of Diesel Engine Turbocharging Technology, China North Engine Research Institute, Tianjin 300400, China;2.Institute of Modern Design and Analysis, Northeastern University, Shenyang 110819, Liaoning, China; 3.Key Laboratory of Aero Power Equipment Vibration and Control of Ministry of Education, Northeastern University, Shenyang 110819, Liaoning, China)
  • Received:2014-12-25 Revised:2014-12-25 Online:2015-09-21
  • Contact: WANG Zheng E-mail:wzneu@126.com

摘要: 考虑失效相关性对系统失效概率特征的影响,从系统层面出发,建立串联系统和并联系统的强度概率分布模型。在此基础上,分别以连续型变量和离散型变量作为寿命度量指标,推导能够科学体现“系统组成结构、载荷、强度”等参数影响的串联系统和并联系统失效概率模型,研究串联系统和并联系统的寿命概率分布特征。研究表明:并联系统的平均首次故障时间大于串联系统的平均首次故障时间,且大于系统组成零部件的平均首次故障时间;而串联系统的平均首次故障时间则小于系统组成零部件的平均首次故障时间。

关键词: 概率论, 系统, 失效相关, 失效概率, 寿命分布, 平均首次故障时间

Abstract: The effect of failure dependence on the failure probability characteristics of systems is taken into account, and the system strength probability distribution models of series system and parallel system are derived from the system level, respectively. The failure probability models of series and parallel systems, which can embody the effects of parameters, such as system composing structure, load, strength, and so on, are developed by taking continuous variable and discrete variable as the life parameters, respectively. The life probability characteristics of series and parallel systems are studied. The results show that the mean time to first failure (MTTFF) of parallel system is not only more than that of series system but also more than those of the components that compose the system, and the MTTFF of series system is less than those of the components.

Key words: probability theory, system, failure dependence, failure probability, life distribution, mean time to first failure

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