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Contrôle des phénomènes d'interaction fluide-structure, application à la stabilité aéroélastique

Abstract : This thesis deals with the aeroelastic statbility analysis of a vibrating structure inside an incompressible fluid flow. The aim of this work is to build a theoretical and numerical design tool for civil engineering structures under wind loads. Our approach consists in looking for the minimal wind velocity that may either maximize the wind effects on the structure or enforce the structure to follow a given unstable behaviour. After general considerations, we show, numerically, how to control, from the boundary, the trajectories of a flow around a fix body. Then, we obtain the linearized and adjoint systems when the control variable is the fluid domain evolution, thanks to new shape optimization tools. Finally, using a Min-Max formulation, we get the adjoint system associated to the instability tracking problem for an elastically supported rigid solid inside an incompressible fluid flow. In case of a general elastic solid under large displacements, we state the structure of the linearized system, using intrinsic derivative tools based on the identity pertubations.
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Contributor : Marwan Moubachir <>
Submitted on : Wednesday, January 7, 2009 - 11:19:20 PM
Last modification on : Friday, May 10, 2019 - 12:23:13 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 5:24:11 PM


  • HAL Id : tel-00350505, version 1



Marwan Moubachir. Contrôle des phénomènes d'interaction fluide-structure, application à la stabilité aéroélastique. Optimisation et contrôle [math.OC]. Ecole Nationale des Ponts et Chaussées, 2002. Français. ⟨tel-00350505⟩



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