On Stability of SDOF Systems with Asymmetric Bi-Linear Hysteresis Subjected to Seismic Excitations

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dc.contributor.authorQuintana Gallo, Patricio
dc.contributor.authorMeneses, Rodrigo
dc.date.accessioned2022-11-30T02:46:50Z
dc.date.available2022-11-30T02:46:50Z
dc.date.issued2021
dc.description.abstractThis technical note presents a numerical study on the stability of single degree of freedom (SDOF) systems with asymmetric bi-linear hysteretic restoring force, subjected to earthquake excitations. The aim is to report: (a) the existence of an unstable behavior in the response of such systems, under a specific ground motion, given small modifications of the yielding conditions of the hysteresis model, and (b) the introduction of a novel three-dimensional graphic visualization of the problem. The modifications of the yielding conditions were introduced via the symmetry-breaking produced by very small variations of the static equilibrium position of the system, equivalent to having an initial position and restoring force different from zero and symmetric yielding. The concise study comprises of nonlinear dynamic analyses of three system cases, one of them with symmetric (reference) and two with asymmetric yielding conditions. The results show that the system presented a stable response and severe ratcheting toward the weakest yielding direction for the symmetric and asymmetric cases, respectively. Differences as large as ±2800% between the asymmetric and reference cases were obtained for the residual displacement of the systems, due to variations as small as ±7% in the static-equilibrium position, and consequent ±7% variations of the positive/negative yielding displacements and forces. In turn, negligible variations of the velocity between the three cases were predicted. To conclude, the paper introduces novel three-dimensional representations of the solution-curve and of the hysteresis cycles of the systems, deepening the discussion on the identified bifurcation. The 3D hysteresis curve, in particular, can be of much use for seismic engineering and mechanical studies, either numerical or experimental, as it allows visualizing the sequence of events in the hysteresis plots in a much clearer fashion compared to the traditional two-dimensional counterparts.en_ES
dc.facultadFacultad de Ingenieríaen_ES
dc.file.nameQuintana_On2021.pdf
dc.identifier.doihttps://doi.org/10.1142/S0219455421710024
dc.identifier.urihttp://repositoriobibliotecas.uv.cl/handle/uvscl/7505
dc.languageen
dc.publisherWorld Scientific Publishing
dc.sourceInternational Journal of Structural Stability and Dynamics
dc.subjectSINGLE DEGREE OF FREEDOM (SDOF) SYSTEMAen_ES
dc.subjectSYMMETRIC HYSTERESISen_ES
dc.subjectSTABILITYen_ES
dc.subjectBIFURCATIONen_ES
dc.subject3D HYSTERESIS CURVEen_ES
dc.subjectRATCHETINGen_ES
dc.titleOn Stability of SDOF Systems with Asymmetric Bi-Linear Hysteresis Subjected to Seismic Excitations
dc.typeArticulo
uv.departamentoEscuela de Ingenieria Civil
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