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Un modèle de poutre à section mince flexible - Application aux pliages 3D de mètres rubans

Elia Picault 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : This work was carried out within the framework of a collaboration between the LMA and Thales Alenia Space. We focus on the behaviour of flexible structures and more specifically of tape springs, whose particularity lies in their capacity to coil up or to form localized folds through the flattening of their cross-section. A first thesis led to the development of a new type of tape spring whose uncoiling is controlled thermically on one hand and of a planar rod model with a flexible thin-walled cross-section on the other hand. In this thesis, we offer an extended version of this model dedicated to the simulation of three-dimensional dynamic behavior of tape springs in large displacements and large rotations. This model is derived from shell theory and is based on the introduction of adapted kinematic and sthenic hypotheses. The deformation of the cross-section is characterized by that of its average line which can deform in its own plane by flexion and twisting but not by extension, as well as out of its plane through torsional warping. The large changes of the cross-section shape in its plane can then be described by an Elastica kinematics, whereas a Vlassov kinematics is used to define the warping in the local frame attached to the section. The unidimensionnal model is obtained by integration over the cross-section of the expressions of the shell theory, an energetic approach then allows to express the associated problem which is solved thanks to the finite element modeling software COMSOL.
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Submitted on : Sunday, December 22, 2013 - 7:25:50 PM
Last modification on : Friday, October 22, 2021 - 3:29:32 AM
Long-term archiving on: : Sunday, March 23, 2014 - 12:55:13 AM


  • HAL Id : tel-00921931, version 1


Elia Picault. Un modèle de poutre à section mince flexible - Application aux pliages 3D de mètres rubans. Mécanique des solides [physics.class-ph]. Aix-Marseille Université, 2013. Français. ⟨tel-00921931⟩



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