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A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators by Mercier, Jean-François; Lombard, Bruno is a scholarly article available to read on EtoBox.

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

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.

Author

Mercier, Jean-François; Lombard, Bruno

Published

2016

Language

EN