• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2021, Vol. 57 ›› Issue (2): 230-238.doi: 10.3901/JME.2021.02.230

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Research on the Degradation Process and Random Shocks Modeling Based on Their Interdependency

WANG Jia1,2, ZHANG Yunan3, HAN Xu1,2   

  1. 1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401;
    2. School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401;
    3. Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073
  • Received:2020-01-29 Revised:2020-09-05 Online:2021-01-20 Published:2021-03-15

Abstract: The complex system can fail due to multiple competing failure modes. And the failure is induced either by internal degradation such as aging and fatigue, or external shocks. As a result, it may fail because of soft failure, which is caused by the natural degradation and nonfatal shocks beyond a specific threshold, or hard failure triggered by fatal shocks. The reported work generally focused on the influence from random shocks to natural degradation process. Hence, an interdependent structure between the natural degradation process and random shocks is proposed and incorporated into the competing risks model. The interdependent structure includes two-fold:the impact of random shocks on the natural degradation process, which is represented by their cumulative damage to the natural degradation process; and the influence of natural degradation process toward random shocks (both the magnitude and damage of shocks), which is reflected by the natural-degradation-state varying fatal threshold, as well as the damage of nonfatal shocks. A closed-form reliability function is derived in case of the constant fatal threshold and linear state function. An illustrative example is presented to demonstrate this approach. The results show that the developed interdependent relationship model can obtain a more practical estimation of the reliability, and the parameters of the state functions have a great impact on the reliability estimation.

Key words: interdependency, random shocks, degradation modeling, reliability estimation, MEMS

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