RESEARCH PAPER
Reliability modeling for dependent competing failure processes with phase-type distribution considering changing degradation rate
1
Northeastern University, School of Mechanical Engineering and Automation, Shenyang 110819, China
2
University of Maryland, Center for Advanced Life Cycle Engineering, College Park, MD 20742, USA
Publication date: 2021-12-31
Eksploatacja i Niezawodność – Maintenance and Reliability 2021;23(4):627-635
HIGHLIGHTS
- The degradation rate changes when the number of shocks reaches a specific value.
- The phase-type (PH) distribution is combined with the DCFP.
- The survival function of PH distribution is used to calculate hard failure reliability.
- The phase-type distribution method is applied to calculate the reliability of the MEMS.
KEYWORDS
dependent competing failure processesphase-type distributionchanging degradation ratereliability modelingsurvival function
ABSTRACT
In this paper, a system reliability model subject to Dependent Competing Failure Processes (DCFP) with phase-type (PH) distribution considering changing degradation rate is proposed. When the sum of continuous degradation and sudden degradation exceeds the soft
failure threshold, soft failure occurs. The interarrival time between two successive shocks and total number of shocks before hard failure occurring follow the continuous PH distribution and discrete PH distribution, respectively. The hard failure reliability is calculated using the PH distribution survival function. Due to the shock on soft failure process, the degradation rate of soft failure will increase. When the number of shocks reaches a specific value, degradation rate changes. The hard failure is calculated by the extreme shock model, cumulative shock model, and run shock model, respectively. The closed-form reliability function is derived combining with the hard and soft failure reliability model. Finally, a Micro-Electro-Mechanical System (MEMS) demonstrates the effectiveness of the proposed model
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| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
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