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Reliability modeling for systems subject to multiple dependent competing failure processes with shock loads above a certain level

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  • An, Zongwen
  • Sun, Daoming

Abstract

Considering that products with high reliability have ability to resist small shock loads, a new reliability model is proposed for system experiencing dependent competing failure processes(DCFP) with shock loads above a certain level. Such shock loads are separated by the shock threshold, beyond which are fatal shocks causing sudden failure of systems. The remaining part between the certain level and shock threshold are general shock loads causing sudden degradation increments (SDI). Moreover, an explicit relationship between SDI and the magnitude of shock loads is established for reliability assessment. In this study, we consider two kinds of DCFP: (1) a shock process and a degradation process; (2) a shock process and multiple degradation processes. In case (1), we consider the dependence between shock process and degradation process with conditional probability. In case (2), we not only consider the dependence between shock process and degradation processes with conditional probability, but also the dependence between multiple degradation processes with Copulas. Finally, the effectiveness of proposed models is demonstrated by reliability analysis of the microengine developed by Sandia National Laboratories and an extended numerical example. Besides, sensitivity analysis is performed to assess the effects of model parameters on the system reliability.

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  • An, Zongwen & Sun, Daoming, 2017. "Reliability modeling for systems subject to multiple dependent competing failure processes with shock loads above a certain level," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 129-138.
    • Handle: RePEc:eee:reensy:v:157:y:2017:i:c:p:129-138
    DOI: 10.1016/j.ress.2016.08.025
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    1. Lei Jiang & Qianmei Feng & David W. Coit, 2015. "Modeling zoned shock effects on stochastic degradation in dependent failure processes," IISE Transactions, Taylor & Francis Journals, vol. 47(5), pages 460-470, May.
    2. Khac Tuan Huynh & Inma T. Castro & Anne Barros & Christophe Bérenguer, 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," Post-Print hal-00790729, HAL.
    3. Keedy, Elias & Feng, Qianmei, 2012. "A physics-of-failure based reliability and maintenance modeling framework for stent deployment and operation," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 94-101.
    4. Hao Peng & Qianmei Feng & David Coit, 2010. "Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes," IISE Transactions, Taylor & Francis Journals, vol. 43(1), pages 12-22.
    5. Pan, Zhengqiang & Balakrishnan, Narayanaswamy, 2011. "Reliability modeling of degradation of products with multiple performance characteristics based on gamma processes," Reliability Engineering and System Safety, Elsevier, vol. 96(8), pages 949-957.
    6. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
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