The Open Construction & Building Technology Journal

ISSN: 1874-8368 ― Volume 13, 2019

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



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.


In this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response.


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.

Article Information

Identifiers and Pagination:

Year: 2018
Volume: 12
First Page: 319
Last Page: 333
Publisher Id: TOBCTJ-12-319
DOI: 10.2174/1874836801812010319

Article History:

Received Date: 3/7/2018
Revision Received Date: 20/8/2018
Acceptance Date: 12/10/2018
Electronic publication date: 22/11/2018
Collection year: 2018

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© 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: ( 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:


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