Correlation failure analysis of an uncertain
hysteretic vibration system
Zhang Xufang (张旭方), Zhang Yimin (张义民) and Hao Qiuju (郝秋菊)
School of Mechanical Engineering, Northeastern University, Shenyang 110004, China
Abstract: In this paper, a numerical method for correlation sensitivity analysis of a nonlinear random vibration system is presented. Based on the first passage failure model, the probability perturbation method is employed to determine the statistical characteristics of failure modes and the correlation between them. The sensitivity of correlation between failure modes with respect to random parameters characterizing the uncertainty of the hysteretic loop is discussed. In a numerical example, a two-DOF shear structure with uncertain hysteretic restoring force is considered. The statistical characteristics of response, failure modes and the sensitivity of random hysteretic loop parameters are provided, and also compared with a Monte Carlo simulation.
Keywords: correlated failure modes; uncertain hysteretic loop parameter; sensitivity analysis; nonlinear random vibration; first passage failure model; Monte Carlo simulation