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Equivalent Non-Linearization of Hysteretic Systems by Means of RPS
Abstract
Background
The analysis of elastoplastic systems with hardening (Bouc-Wen systems) under stochastic (seismic) loads needs the evaluation of higher order statistics even in the simplest case of normal distributed input.
Objective
In this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response.
Method
This technique is developed by means of a nonlinear class of systems whose statistics are a priori known. The parameters of such systems can be chosen in such a way that the two systems are equivalent in a wide sense.
Result & Conclusion
In the paper, the strategy to obtain the equivalence and the reliability of the results are discussed.