RESEARCH ARTICLE


Equivalent Non-Linearization of Hysteretic Systems by Means of RPS



P. G. Asteris1, L. Cavaleri2, *, M.F. Ferrotto2
1 School of Pedagogical & Technological Education, Athens, Greece
2 Department of Civil, Environmental, Aerospace, Materials Engineering, University of Palermo, Viale delle Scienze 90128 Palermo, Italy


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Creative Commons License
© 2018 Asteris et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Civil, Environmental, Aerospace, Materials Engineering, University of Palermo, Viale delle Scienze 90128 Palermo, Italy; Tel: +39 3204395965; E-mail: liborio.cavaleri@unipa.it


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.