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Modélisation asymptotique de la réponse acoustique de plaques perforées dans un cadre linéaire avec étude des effets visqueux

Vincent Popie 1, 2
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : This study is part of the effort made by the aeronautic industry to protect the environment. Thus, one of the main objectives is to reduce aircraft polluting emissions and sound emissions. The polluting emissions are linked to the combustion quality which depends on the combustion chamber's design. Noise pollution is reduced thanks to passive treatments such as absorbing structures placed on engine walls. For both applications, perforated plates are used. Indeed, absorbing materials are composed of honeycomb structures topped by a perforated plate. In combustion chambers, cold air is injected through perforations to protect the walls from high temperatures, but the perforations can modify the chamber's acoustic behavior. The objective of this thesis is to model the acoustic response of a perforated material. The perforation size is smaller than the sound wave length, therefore asymptotic modeling techniques adapted to resolving multiscale problems can be implemented. Indeed, these methods allow to link the effects inside the perforation with the homogenized acoustic response of the perforated plate. In this study, the viscous effects inside the perforation have been analysed. Moreover, direct numerical simulations have been performed to verify the asymptotic modeling hypotheses. The findings of this thesis allow to understand the acoustic modeling of perforated materials. Furthermore, the developed analytical method can be implemented for perforations with complex shape.
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Submitted on : Friday, April 29, 2016 - 11:17:21 AM
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Vincent Popie. Modélisation asymptotique de la réponse acoustique de plaques perforées dans un cadre linéaire avec étude des effets visqueux. Modélisation et simulation. Institut Supérieur de l'Aéronautique et de l'Espace (ISAE), 2016. Français. ⟨tel-01309272⟩

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