A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators

Jean-François Mercier 1, * Bruno Lombard 2
* Auteur correspondant
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
2 O&I - Ondes et Imagerie
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fluid. Mech., \textbf{244} (1992)), taking into account both the nonlinear wave propagation and various mechanisms of dissipation. This model is extended here to take into account two important features: resonators of different strengths and back-scattering effects. An energy balance is obtained, and a numerical method is developed. A closer agreement is reached between numerical and experimental results. Numerical experiments are also proposed to highlight the effect of defects and of disorder.
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Article dans une revue
Wave Motion, Elsevier, 2017, 72, pp.260-275. 〈10.1016/j.wavemoti.2017.04.004〉
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https://hal.archives-ouvertes.fr/hal-01312801
Contributeur : Bruno Lombard <>
Soumis le : mercredi 5 avril 2017 - 13:49:07
Dernière modification le : lundi 29 janvier 2018 - 16:06:04
Document(s) archivé(s) le : jeudi 6 juillet 2017 - 13:33:20

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Jean-François Mercier, Bruno Lombard. A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators. Wave Motion, Elsevier, 2017, 72, pp.260-275. 〈10.1016/j.wavemoti.2017.04.004〉. 〈hal-01312801v3〉

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