RESEARCH ARTICLE

Equivalent Non-Linearization of Hysteretic Systems by Means of RPS

The Open Construction and Building Technology Journal 22 Nov 2018 RESEARCH ARTICLE DOI: 10.2174/1874836801812010319

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.

Keywords: Seismic assessment, Hysteretic systems, Potential systems, Moment equations, Equivalent non-linearization, Stochastic calculus.
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