Reliability modelling for multi-component systems subject to stochastic deterioration and generalized cumulative shock damages

Wenjie Dong, Sifeng Liu, Suk Joo Bae and Yingsai Cao

Reliability Engineering and System Safety, 2021, vol. 205, issue C

Abstract: For a complex system consisting of multiple components, it is often unrealistic that one type of environmental shocks affects all the components at the same time. Correspondingly, random shocks are categorized into several distinct sets according to their functions, attributes or sizes. This study develops generalized reliability models for multi-component systems, where each component is subject to two dependent competing failure processes, i.e., a soft failure process caused jointly by internal performance degradation and an incremental damage due to effective external shock sets, and a hard failure process caused by the same random shocks. A damage improvement coefficient and a damage aggravation coefficient are respectively introduced to extend the standard cumulative shock damage model into two more generalized shock cases. Analytical representations of system reliability for a series–parallel system and a parallel–series system are derived based on a gamma to normal distribution approximation approach. To quantitatively compare the effects of these two damage coefficients, a block replacement policy is further adopted by searching for the optimal replacement intervals with a Nelder–Mead downhill simplex method. Finally, an illustrative example of micro-electro-mechanical systems (MEMS) consisting of four silicon micro-mechanical resonators is provided to examine the effects of self-healing ability in the materials of polymer binder on system reliability and replacement period.

Keywords: Cumulative shock damage model; Damage self-healing; Gamma process; System reliability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832020307596
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307596

DOI: 10.1016/j.ress.2020.107260

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().