HAL Id: hal-01492463
https://hal.archives-ouvertes.fr/hal-01492463 Submitted on 20 Mar 2017
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Contribution à l’étude de la dynamique de poutres
gonflables
Zhihong Jiang, Jean-Christophe Thomas, Christian Wielgosz
To cite this version:
Zhihong Jiang, Jean-Christophe Thomas, Christian Wielgosz. Contribution à l’étude de la dynamique de poutres gonflables. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. �hal-01492463�
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GeM, Institut de Recherches en Génie Civil et Mécanique, UMR-CNRS 6183 Université de Nantes, 2 rue de la Houssinière, 44322 Nantes, France
RÉSUMÉ. A la suite des études concernant la statique des structures gonflables, on s’intéresse ici à l’analyse modale des poutres gonflables. Les développements récents dans les domaines de l’ingénierie spatiale et du bâtiment nécessitent la détermination du comportement en dynamique des éléments constitutifs fondamentaux de ce type de structures : tubes et tore. Cet article présente trois études numériques complémentaires : deux approches de type poutre permettant la recherche des fréquences propres des poutres gonflables. Une méthode exacte est d’abord utilisée (éléments continus) et on relie les résultats obtenus avec une formulation éléments finis de type déplacements. Ces résultats sont ensuite comparés avec les résultats d’un code de type membrane 3D en grandes transformations développé pour les structures gonflables, et avec des expériences menées sur des poutres en tissu enduit.
ABSTRACT. Following the studies concerning the statics of the inflatable structures, one is
interested here in the modal analysis of the inflatable beams. The recent developments in the fields of space engineering and the building require the determination of the behavior in dynamics of the fundamental components of this type of structures: tubes and torus. This article presents three complementary numerical methods: two approaches of the beam type allowing the research of the natural frequencies of the inflatable beams. An exact method is firstly used (continuous elements method) and one connects the results obtained with a finite element formulation of displacements type. These results are then compared with the results of a code of the type membrane 3D in large transformations developed for the inflatable structures, and with experiments.
MOTS-CLÉS:éléments continus, matrice de rigidité dynamique, forces suiveuses, structures
gonflables, modes propres
KEYWORDS: continuous element, dynamic stiffness matrix, follower force, inflatable structure,
mode shape.
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