Reliability Analysis for Systems with Dependent Competing Failure Processes under Shock Environment  
Author Lina Bian


Co-Author(s) Guanjun Wang


Abstract This paper studies the reliability problem for a system with dependent competing failure processes, in which external shock is governed by a homogeneous Poisson process, and internal degradation is described by a linear degradation path. Each shock will bring a certain amount of degradation increment to the system. Soft failure happens when the overall degradation volume of the system surpasses the soft failure threshold. The hard failure is modeled by a mixed shock model which is a combination of the cumulative shock model with varying threshold level and the delta-shock model with shifting recovery time threshold. Except for that shocks will cause abrupt increments to the degradation process of the system, the dependence between soft failure and hard failure processes is also reflected by the influence of overall degradation to the hard failure threshold of the system. The reliability function of the system is obtained by using multivariate integral method. A case study on the gear rotation meta-action unit is presented to illustrate the effectiveness of developed model.


Keywords Reliability function, Dependent competing failure processes, Mixed shock model, Poisson process, Degradation process
    Article #:  RQD26-225

Proceedings of 26th ISSAT International Conference on Reliability & Quality in Design
Virtual Event

August 5-7, 2021