Reliability analysis of dependent competing failure processes with time-varying δ shock model

Hao Lyu, Hongchen Qu, Zaiyou Yang, Li Ma, Bing Lu and Michael Pecht

Reliability Engineering and System Safety, 2023, vol. 229, issue C

Abstract: The dependent competing failure process model has received increasing research attention in recent years due to its essential role in describing system reliability. For the δ shock model, as a main type of shock in dependent competing failure process, the system fails if the interval of time between two sequential shocks is less than a threshold δ. As the operation of systems, the aging effect will gradually increase. Thus, systems affected by shocks need more time to recover from damages. In the time-varying δ shock model, if damage shocks occur, the degradation rate and δ value will change multiple times simultaneously. Three failure processes consisting of a soft process induced by a degradation process and two sudden failure processes due to random shocks. Sudden failure processes include fatal shocks and damaged shocks. Damaged shocks affect systems in three different ways: (1) impacting systems by causing the degradation increment, (2) increasing the degradation rate of systems, and (3) impairing systems’ performance by increasing the δ value. A real-world example of a microelectromechanical system is presented to show the applicability of the reliability model. Sensitivity analysis is evaluated to demonstrate how parameters affect reliability.

Keywords: Dependent competing failure processes; Time-varying δ shock model; Multiple failure processes; Degeneration model; MEMS (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:229:y:2023:i:c:s0951832022004938

DOI: 10.1016/j.ress.2022.108876

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