A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators
2017
Type de publication :
Article (revues avec comité de lecture)
Journal :
Wave Motion, vol. 72, pp. 260-275
Editeur :
Elsevier
HAL :
arXiv :
Mots clés :
Helmholtz resonators; Burgers equation; nonlinear acoustics; fractional derivatives; solitons; diffusive representation;
Résumé :
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.
BibTeX :
@article{Mer-Lom-2017,
author={Jean-François Mercier and Bruno Lombard },
title={A two-way model for nonlinear acoustic waves in a non-uniform
lattice of Helmholtz resonators },
doi={10.1016/j.wavemoti.2017.04.004 },
journal={Wave Motion },
year={2017 },
volume={72 },
pages={260--275},
}