Probability Analysis of Duration of Stochastic Process Exceeding Fixed Threshold and Its Application on Structural Cumulative Damage and Fatigue Reliability Evaluation

Abstract

Based on the stochastic process multiple threshold crossings analysis formula, the impact of structural response random process crossing-threshold duration on structural fatigue reliability is studied, which was not involved in fatigue reliability analysis before. This paper considers the type of structural stress stochastic processes with Wiener characteristics in engineering and establishes a novel method considering the random response crossing-threshold duration for fatigue reliability evaluation. The fatigue cumulative damage considering random response crossing-threshold duration is derived analytically based on the assumption that cumulative damage is linear to crossing-threshold duration. This study makes the fatigue reliability analysis closer to the reality.