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Journal Articles Wave Motion Year : 2017

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

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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Dates and versions

hal-01312801 , version 1 (09-05-2016)
hal-01312801 , version 2 (11-09-2016)
hal-01312801 , version 3 (05-04-2017)

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Cite

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