Equivalent Non-Linearization of Hysteretic Systems by Means of RPS

BackgroundThe analysis of elastoplastic systems with hardening (Bouc-Wen systems) under stochastic (seismic) loads needs the evaluation ofhigher order statistics even in the simplest case of normal distributed input.ObjectiveIn this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response.MethodThis technique is developed by means of a nonlinear class of systems whose statistics are a priori known. The parameters of suchsystems can be chosen in such a way that the two systems are equivalent in a wide sense.Result & ConclusionIn the paper, the strategy to obtain the equivalence and the reliability of the results are discussed.