Reliability Engineering & System Safety, Volume 238, October 2023, 109411, DOI: 10.1016/j.ress.2023.109411

Reliability Analysis of the Multi-state System With Nonlinear Degradation Model Under Markov Environment

Hao Lyua, Hongchen Qua, Hualong Xiea, Yimin Zhangb, and Michael G. Pechtc
a School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110003, China
b Machinery and Power Engineering College, Shenyang University of Chemical Technology, Shenyang, China
c Center for Advanced Life Cycle Engineering (CALCE), University of Maryland, College Park, MD, USA

For more information about this article and related research, please contact Prof. Michael G. Pecht.


Research conducted on multi-state systems has garnered significant attention as a result of their engineering applications in the aerospace industry. The paper explores the intricacies of multi-state systems operating in complex environments and experiencing degeneration processes. A mixed shock model is introduced, which consists of multiple run shock models and extreme shock models. A state transition matrix is constructed using a Markov chain embedding method to establish a reliability model of hard failure process. In contrast to the traditional reliability modeling approach of hard failure process, this method incorporates time-dependencies. A numerical integration method is employed to derive the reliability function of the soft failure process based on the Gamma process. To validate the effectiveness of the developed methodology, an application of a micro-engine is utilized. Finally, compared with the Monte Carlo simulation, the developed model can be considered as a useful tool for the system manager to assess the reliability of the multi-state system with the nonlinear degradation process.

This article is available online here and to CALCE Consortium Members for personal review.

[Home Page] [Articles Page]
Copyright © 2023 by CALCE and the University of Maryland, All Rights Reserved