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