Wu, HaoHu, ZhangliDu, Xiaoping2024-03-202024-03-202020Wu H, Hu Z, Du X. Time-Dependent System Reliability Analysis With Second-Order Reliability Method. Journal of Mechanical Design. 2020;143(031101). doi:10.1115/1.4048732https://hdl.handle.net/1805/39353System reliability is quantified by the probability that a system performs its intended function in a period of time without failures. System reliability can be predicted if all the limit-state functions of the components of the system are available, and such a prediction is usually time consuming. This work develops a time-dependent system reliability method that is extended from the component time-dependent reliability method using the envelope method and second-order reliability method. The proposed method is efficient and is intended for series systems with limit-state functions whose input variables include random variables and time. The component reliability is estimated by the second-order component reliability method with an improve envelope approach, which produces a component reliability index. The covariance between component responses is estimated with the first-order approximations, which are available from the second-order approximations of the component reliability analysis. Then, the joint distribution of all the component responses is approximated by a multivariate normal distribution with its mean vector being component reliability indexes and covariance being those between component responses. The proposed method is demonstrated and evaluated by three examples.en-USPublisher PolicyTime-dependent reliability analysisUncertainty analysisEnvelope methodTime-Dependent System Reliability Analysis With Second-Order Reliability MethodArticle