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不确定理论下竞争失效系统的可靠性分析

师海燕 魏淳 温艳清 张志强 刘宝亮

师海燕, 魏淳, 温艳清, 等 . 不确定理论下竞争失效系统的可靠性分析[J]. 北京航空航天大学学报, 2021, 47(1): 84-89. doi: 10.13700/j.bh.1001-5965.2019.0656
引用本文: 师海燕, 魏淳, 温艳清, 等 . 不确定理论下竞争失效系统的可靠性分析[J]. 北京航空航天大学学报, 2021, 47(1): 84-89. doi: 10.13700/j.bh.1001-5965.2019.0656
SHI Haiyan, WEI Chun, WEN Yanqing, et al. Reliability analysis for systems subject to competing failure processes based on uncertainty theory[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(1): 84-89. doi: 10.13700/j.bh.1001-5965.2019.0656(in Chinese)
Citation: SHI Haiyan, WEI Chun, WEN Yanqing, et al. Reliability analysis for systems subject to competing failure processes based on uncertainty theory[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(1): 84-89. doi: 10.13700/j.bh.1001-5965.2019.0656(in Chinese)

不确定理论下竞争失效系统的可靠性分析

doi: 10.13700/j.bh.1001-5965.2019.0656
基金项目: 

国家自然科学基金 71601101

山西省高等学校科技创新项目 2019L0738

详细信息
    作者简介:

    师海燕  女, 硕士, 讲师。主要研究方向:可靠性理论及其应用

    温艳清  女, 博士, 副教授。主要研究方向:可靠性理论及其应用

    通讯作者:

    温艳清

  • 中图分类号: O213;O211.62

Reliability analysis for systems subject to competing failure processes based on uncertainty theory

Funds: 

National Natural Science Foundation of China 71601101

Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi 2019L0738

  • 摘要:

    针对有新研发产品,故障数据较少的复杂系统,提出了不确定环境下自然退化和外部冲击相互独立的竞争失效模型。考虑了系统同时遭受自然退化和外部冲击,连续的自然退化用一个不确定过程刻画,冲击到达的时间间隔和每次冲击对系统造成的损坏量分别用2个不同的不确定变量来刻画。运用不确定理论,分别在极端冲击模型、累积冲击模型、δ冲击模型下,研究了系统的确信可靠度,结果表明:在有新研发的产品、故障数据较少的复杂系统,用不确定理论的方法来描述模型更合适,并通过数值分析显示了模型的有效性。

     

  • 图 1  极端冲击模型的确信可靠度R(t)

    Figure 1.  Belief reliability R(t) of extreme shock model

    图 2  累积冲击模型的确信可靠度R(t)

    Figure 2.  Belief reliability R(t) of cumulative shock model

    图 3  δ冲击模型的确信可靠度R(t)

    Figure 3.  Belief reliability R(t) of δ shock model

    表  1  模型的参数值

    Table  1.   Model parameter values

    参数 数值 来源
    σ 1 假设
    σ1 1 假设
    σ2 1 假设
    e 1 假设
    e1 3 假设
    e2 2.7 假设
    H 3 Hao和Yang[23]
    D 10 假设
    δ 0.1 Wang等[24]
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-12-31
  • 录用日期:  2020-02-29
  • 网络出版日期:  2021-01-20

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