Development of an Approximation Technique for the Nonlinear Random Vibration Analysis of Hysteretic Systems

摘要

A cumulant-neglect closure scheme is developed for determining the stationary and nonstationary response of structural systems with hysteretic restoring force characteristics. The method is applied for the analysis of a hysteresis model with general strength/stiffness degradation capabilities. The model has been used in the past for stochastic seismic performance evaluation of buildings. Response statistics obtained for the model using this closure technique are compared with equivalent linearization results via Monte Carlo simulation. The study performed shows that the closure results are in better agreement with simulation than those obtained by linearization. The technique provides information on higher order statistics for hysteresis models. These statistics are valuable in the reliability analysis and prediction of the probability of survival of hysteretically yielding structures.