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Title : |
A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators |
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Year : |
2017 |
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Type : |
paper in peer-reviewed journal |
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Authors : |
J.-F. Mercier, B. Lombard |
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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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Themes : |
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Reference : |
Wave Motion - Elsevier - vol. 72 (pp 260-275 )  |
