Reliability Analysis of Uncertain Nonlinear System Subject to Correlated Failure

On the basis of the Bouc-Wen hysteretic model, a numerical method for the reliability analysis of stochastic multi-degree-of-freedom hysteretic system with correlated failure modes is presented. Under the first passage model, considering the random caused by hysteretic loop itself, the theory of incomplete probability information and the fourth-moment technique and Gram Charlier series are employed to develop a numerical reliability analysis method systematically. The numerical example reveals that in most of cases, though system is characterized by a set of independent random parameters, the responses are strongly correlated, and correlation coefficient between the responses is fluctuated with time. The system reliability with correlated failure modes is evaluated with proposed method, and the result obtained by this method is compared well with the Monte-Carlo simulations.