Reliability Modeling of Two-Component System with Degradation Interaction Based on Copulas

The stochastic dependency exists in many complex systems, which cannot be ignored in reliability modeling. The stochastic dependency is analyzed from the degradation perspective in this paper. For a two-component system, a degradation interaction model is built to describe the dependency between the degradations of two components based on nonlinear Wiener process and Copula function. Then, the reliability functions of components and system are derived, and the parameter estimation approach of the developed models is given. Finally, a numerical example about fatigue crack development is presented to validate and illustrate the performance of the developed models.