Energetic evaluation of a perfect damped elastoplastic oscillator

Numéro de la revue: 36
Auteurs: Mahmoud Chenia1, 2, Abdelaziz Hammouda2, Abdel Madjid Hacene Chaouch2    &  Noël Challamel3

1Laboratory  of  Civil Engineering  (LGC), Department of Civil Engineering, Badji Mokhtar-Annaba University, PO Box 12, 23000, Annaba, Algeria.

2Laboratory of  Materials, Géo-Materials, and Environment (LMGE), Department of Civil Engineering, Badji Mokhtar-Annaba University, PO Box 12, 23000, Annaba, Algeria.

3IRDL-University of South Brittany, Saint Maude St PO Box 92116, Lorient 56321, France.

Soumis le :30/06/2017               Révisé le :26/10/2017               Accepté le :22/11/2017

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Abstract

This paper deals with the dynamic behaviour of a perfect damped elastoplastic oscillator, subjected to an external seismic load. The rheological model is presented as a single-degree-of-freedom system, for the two cases: a symmetrical excitation (perfect elastoplasticity); and an asymmetry in the compression field. The energizing assessment is essentially established from the dissipated energy map during the oscillations, according to the structural parameters of the model (equivalent angular frequency, damping, parameter of the asymmetric excitation force…). A dissipation of the limit cycle energy observed for the alternating plasticity behavioural area, which is controlled by the bifurcation boundary.

Keywords: Perfect Damped Elastoplastic Oscillator, Rheological model, Dissipated energy, Limit cycle, Alternating plasticity, Bifurcation boundary.

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