Response of periodic structures due to moving loads

Hamid Chebli; Ramzi Othman; Didier Clouteau

doi:10.1016/j.crme.2006.04.001

Response of periodic structures due to moving loads
[Réponse de structures périodiques à des charges mobiles]

Présenté par : Huy Duong Bui

Hamid Chebli ¹ ; Ramzi Othman ¹ ; Didier Clouteau ¹

¹ LMSSMat, École centrale Paris, grande voie des vignes, 92295 Châtenay-Malabry cedex, France

Comptes Rendus. Mécanique, Volume 334 (2006) no. 6, pp. 347-352.

Résumé
Abstract

Une méthode est proposée afin de calculer la réponse de structures périodiques soumises à des charges mobiles. Celle-ci est basée sur la décomposition de Floquet qui permet de restreindre l'analyse du système entier à une cellule de référence. La principale contribution de l'approche présentée ci-après est que la réponse est directement déduite à partir de la fonction de transfert dans le domaine espace-nombre d'onde calculée dans une cellule de référence non bornée. De plus, l'équivalence entre la solution obtenue et la réponse de structures invariantes calculée avec la transformée de Fourier est établie.

A method is proposed to calculate the response of periodic structures subjected to moving loads. It is based on the Floquet decomposition which allows the restriction of the analysis for the overall system to a generic cell. The main contribution of the approach presented hereafter is that the response is directly deduced from transfer functions in the space-wavenumber domain calculated in an unbounded generic cell. Moreover, the equivalence of this new solution with the response of invariant structures obtained using Fourier transforms is established.

Reçu le : 2005-03-27
Accepté le : 2006-04-04
Publié le : 2006-05-16

DOI : 10.1016/j.crme.2006.04.001

Keywords: Solids and structures, Periodic structure, Floquet transform, Moving load
Mots-clés : Solides et structures, Structure périodique, Transformée de Floquet, Charge mobile

Affiliations des auteurs :

Hamid Chebli ¹ ; Ramzi Othman ¹ ; Didier Clouteau ¹

¹ LMSSMat, École centrale Paris, grande voie des vignes, 92295 Châtenay-Malabry cedex, France

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Hamid Chebli; Ramzi Othman; Didier Clouteau. Response of periodic structures due to moving loads. Comptes Rendus. Mécanique, Volume 334 (2006) no. 6, pp. 347-352. doi : 10.1016/j.crme.2006.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.04.001/

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