A qualitative analysis of a simplified model for the non linear membrane-mallet interaction

Patrick Joly 1 Leila Rhaouti
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : In this paper, we are interested in a mathematical analysis of a simplified 1D mechanical model for the interaction between a mallet and an elastic membrane. First, using elementary mathematical techniques, we study quite precisely the case where the mallet is in interaction with a rigid body. This analysis allows us to understand the influence of physical parameters on the mallet behavior. Then, we show how the results of this study can be extended to the case where the mallet is in interaction with a membrane.
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https://hal.inria.fr/inria-00073455
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Submitted on : Wednesday, May 24, 2006 - 12:51:21 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
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Patrick Joly, Leila Rhaouti. A qualitative analysis of a simplified model for the non linear membrane-mallet interaction. [Research Report] RR-3234, INRIA. 1997. ⟨inria-00073455⟩

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