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故障小修下瞬时可用度的波动分析

任思超 杨懿 陈洋 康锐

任思超, 杨懿, 陈洋, 等 . 故障小修下瞬时可用度的波动分析[J]. 北京航空航天大学学报, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195
引用本文: 任思超, 杨懿, 陈洋, 等 . 故障小修下瞬时可用度的波动分析[J]. 北京航空航天大学学报, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195
REN Sichao, YANG Yi, CHEN Yang, et al. Fluctuation analysis of instantaneous availability under minor repair[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195(in Chinese)
Citation: REN Sichao, YANG Yi, CHEN Yang, et al. Fluctuation analysis of instantaneous availability under minor repair[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195(in Chinese)

故障小修下瞬时可用度的波动分析

doi: 10.13700/j.bh.1001-5965.2016.0195
基金项目: 

国家自然科学基金 61104132

国家自然科学基金 61573041

国家自然科学基金 61573043

详细信息
    作者简介:

    任思超, 男, 硕士研究生。主要研究方向:可靠性分析与建模、应用数学

    杨懿, 女, 博士, 副教授。主要研究方向:可靠性分析、可修系统以及控制科学工程

    康锐, 男, 硕士, 教授, 博士生导师。主要研究方向:确信可靠性理论与方法、信息物理系统可靠性建模与仿真、可靠性系统工程方法论故障控制论

    通讯作者:

    杨懿, E-mail:yang_cissy@163.com

  • 中图分类号: V221+.3;TB553

Fluctuation analysis of instantaneous availability under minor repair

Funds: 

National Natural Science Foundation of China 61104132

National Natural Science Foundation of China 61573041

National Natural Science Foundation of China 61573043

More Information
  • 摘要:

    基于修理延迟下单部件三状态(工作、修理延迟、修理)可修系统的更新模型,提出了带有故障小修的三状态(工作、故障小修、修理)更新模型。运用简捷的方法把更新方程化为微分方程得到其解析表达式。结果显示模型的变化使得稳态可用度提升。使用一套波动理论,其中包括基础的波动定义和相关的波动判定引理。依此给出了瞬时可用度波动产生的条件。通过固定故障率,分析修复率对瞬时可用度波动的影响。同时结合实际背景,提供了抑制波动的方法,即控制平均修理时间小于平均故障时间的1/4。仿真结果与理论相一致。

     

  • 图 1  单部件三状态的更新模型

    Figure 1.  A renewal process for one unit with three states

    图 2  带有故障小修的单部件三状态更新过程

    Figure 2.  A renewal process for one unit with three states under minor repair

    图 3  3种情形下瞬时可用度曲线

    Figure 3.  Curves of instantaneous availability in three cases

    图 4  修复率对瞬时可用度波动的影响

    Figure 4.  Influence of repair rate on fluctuation of instantaneous availability

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出版历程
  • 收稿日期:  2016-03-11
  • 录用日期:  2016-04-15
  • 网络出版日期:  2017-03-20

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