RESEARCH ARTICLE


A Strategy for the Prediction of the Response of Hysteretic Systems: A Base for Capacity Assessment of Buildings under Seismic Load



Liborio Cavaleri*, Fabio D. Trapani, Giuseppe Macaluso, Gaia Scaduto
Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali – Università di Palermo, Palermo, Italy.


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Creative Commons License
© 2014 Cavaleri 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 Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali – Università di Palermo, Palermo, Italy; Tel: +39 09123896733: Fax: +39 091427121; E-mail: liborio.cavaleri@unipa.it


Abstract

A statistical non linearization method is used to approximate systems modeled by the Bouc differential equation and excited by a Gaussian white noise external load. To this aim restricted potential models (RPM) are used, which are suitable for an extended number of nonlinear problems as have been proved several times. Since the solution of RPM is known by the probabilistic point of view, all statistical characteristics can be derived at once with advantages by the computational point of view. Hence, this paper discusses the possibility to determine sets of parameters characterizing potential models that are valid for describing a hysteretic behavior. In this way the characterization of the hysteretic behavior of a system can be performed with computational efforts lower than that normally requested.

Keywords: Bouc model, energy dissipation, equivalent non linearization, hysteretic behavior, response statistics, restricted potential models.