北京航空航天大学学报 ›› 2020, Vol. 46 ›› Issue (10): 1941-1947.doi: 10.13700/j.bh.1001-5965.2019.0514

• 论文 • 上一篇    下一篇

引入失效情形下某型液压电机可靠性分析

胡文林, 吕卫民   

  1. 海军航空大学 岸防兵学院, 烟台 264001
  • 收稿日期:2019-09-18 发布日期:2020-10-29
  • 通讯作者: 吕卫民 E-mail:1846607971@qq.com
  • 作者简介:胡文林 男,博士研究生。主要研究方向:装备可靠性评估;吕卫民 男,博士,教授,博士生导师。主要研究方向:装备综合保障、可靠性评估。
  • 基金资助:
    国家自然科学基金(51975580)

Reliability analysis on one type of hydraulic motor in the case of introducing failure

HU Wenlin, LYU Weimin   

  1. Coast Guard College, Naval Aviation University, Yantai 264001, China
  • Received:2019-09-18 Published:2020-10-29
  • Supported by:
    National Natural Science Foundation of China (51975580)

摘要: 针对直接使用无失效数据对装备进行可靠性分析而产生的“冒进”问题,通过引入失效信息对数据进行综合处理,从而对可靠性参数进行合理的估计。以寿命服从指数分布的某型导弹液压电机为例,在其失效率的先验分布为Gamma分布且超参数均服从均匀分布时,证明了失效率在无失效数据时的期望Bayes(E-Bayes)估计法,提出了改进型的截尾试验时间的确定方法,通过引进失效信息,推导了失效率的综合E-Bayes估计法,并给出了可靠度的综合估计法。结合液压电机无失效数据实例,计算得到失效率和可靠度的综合E-Bayes估计,与现有的方法相比,二者的极差分别减小了22.33%和38.02%,说明了所提方法的合理性与可用性。

关键词: 可靠性, 无失效数据, 指数分布, Bayes估计, 综合估计

Abstract: To solve an aggressive problem of directly using zero-failure data to analyze the reliability of the equipment, the data was comprehensively processed by introducing the failure information, and the reliability parameters could be estimated more reasonably. Taking a certain type of missile hydraulic motor whose life expectancy was exponentially distributed as an example, the Expected Bayes (E-Bayes) estimation of the failure rate in the case of zero-failure data was proved when the prior distribution of the failure rate was the Gamma distribution and the hyper-parameters were uniformly distributed. An improved method was proposed to determine the censoring test time. By introducing the failure information, the comprehensive E-Bayes estimation method of failure rate was derived, and the comprehensive estimation method of the reliability was given. For zero-failure data of the hydraulic motor, the comprehensive E-Bayes estimations of the failure rate and reliability are calculated. Compared with the existing methods, the range between the two is reduced by 22.33% and 38.02%, respectively. The computation results indicate the reasonability and availability of the proposed method.

Key words: reliability, zero-failure data, exponential distribution, Bayes estimation, comprehensive estimation

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