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Influence de la gravité sur les vibrations linéaires d'une structure élastique partiellement remplie par un liquide incompressible

Abstract : The present study deals with the low frequency vibrational analysis of the fluid-structure interactions in an elastic tank partially filled with an incompressible inviscid liquid. The originality of this work is to keep the contribution of all terms depending on gravity in the modelling, in order to represent the strong coupling between the sloshing of the liquid and the hydroelastic deformations of the structure, whereas the classical models study this two phenomena on two distinct frequency domains using some simplifying assumptions. Since gravity effects can be considered as prestresses in structure and fluid, we use a "large displacement" formalism in lagrangian coordinates. The non linear terms of the symmetric variational formulation are linearized to exhibit a stiffness operator depending on the gravity, named \emph{elastogravity} operator. The study of this operator and its rigid body modes shows that taking the gravity into account in the hydroelastic model allows to correctly predict the body motions of a free-free fluid-structure system, in opposition to the classical modelling. After finite element discretization, this method is validated with some test cases and applied to a semi-industrial problem.
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https://tel.archives-ouvertes.fr/tel-00462154
Contributor : Jean-Sebastien Schotte <>
Submitted on : Monday, March 8, 2010 - 5:09:03 PM
Last modification on : Friday, June 26, 2020 - 2:00:03 PM
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Jean-Sebastien Schotte. Influence de la gravité sur les vibrations linéaires d'une structure élastique partiellement remplie par un liquide incompressible. Mécanique [physics.med-ph]. Conservatoire national des arts et metiers - CNAM, 2001. Français. ⟨tel-00462154⟩

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