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Comptes Rendus Mathématique
Volume 352, n° 3
pages 223-227 (mars 2014)
Doi : 10.1016/j.crma.2014.01.002
Received : 20 July 2013 ;  accepted : 3 January 2014
Modeling of the nonlinear vibrations of a stiffened moderately thick plate
Modélisation des vibrations non linéaires d'une plaque raidie modérément épaisse
 

Leila Rahmani
 Faculté des sciences, département de mathematiques, université Mouloud-Mammeri de Tizi Ouzou, Algérie 

Abstract

We consider a multi-structure consisting of a plate reinforced by a thin stiffener on a portion of its boundary. The model we consider for this structure (viewed as a heterogeneous plate) is nonlinear and takes into account the transverse shear effects. Our aim is to model this junction and reproduce the effect of the thin stiffener by means of approximate boundary conditions on the junction region.

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Résumé

On s'intéresse à la modélisation d'une multi-structure composée d'une plaque élastique renforcée par un raidisseur mince et très rigide sur une partie de son bord. Les vibrations de cette structure (vue comme une plaque hétérogène) sont décrites par un modèle qui tient compte des effets du cisaillement transverse. Pour des raisons numériques, on modélise cette jonction et on propose un modèle approché qui ne fait pas intervenir le raidisseur, mais qui rend compte de son effet par de nouvelles conditions aux limites sur l'interface de jonction.

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