An Improved Solution for Degradation-Shock Dependence Models Considering a Specific Shock Load Level

Reliability analysis of competing failure processes between the degradation process and the shock process has become a focus in recent years. In most cases, the magnitude of a shock relates to the abrupt degradation damage. Besides, for high reliability products, small shock load can be resisted without degradation damage. However, in the existing researches, the truncated distribution for shock load has been neglected when above factors appeared, which leads to the inaccuracy of reliability function and it needs to be improved. In this paper, a mild assumption is proposed, and the approximated solution of reliability function is constructed accordingly. By explaining the accuracy of reliability function and mean time to failure (MTTF) under different parameter conditions, it is concluded that the proposed solution is more effective than the existing solutions, and it can provide theoretical support for the follow-up problems.