Characterization by a time-frequency method of classical waves propagation in one-dimensional lattice : effects of the dispersion and localized nonlinearities.

Olivier Richoux (1) , Claude Depollier (1) , Jean Hardy (1)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans

This paper presents an application of time-frequency methods to characterize the dispersion of acoustic waves travelling in a one-dimensional periodic or disordered lattice made up of Helmholtz resonators connected to a cylindrical tube. These methods allow (1) to evaluate the velocity of the wave energy when the input signal is an acoustic pulse ; (2) to display the evolution of the spectral content of the transient signal ; (3) to show the role of the localized nonlinearities on the propagation .i.e the emergence of higher harmonics. The main result of this paper is that the time-frequency methods point out how the nonlinearities break the localization of the waves and/or the filter effects of the lattice.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Olivier Richoux, Claude Depollier, Jean Hardy. Characterization by a time-frequency method of classical waves propagation in one-dimensional lattice : effects of the dispersion and localized nonlinearities.. Acta Acustica united with Acustica, 2002, 88 (6), pp.934-941. ⟨hal-00403096⟩