Characterization by a Time-Frequency Method of Classical Waves Propagation in One-Dimensional Lattice: Effects of the Dispersion and Localized Nonlinearities

Author： Richoux O. Depollier C. Hardy J.

Publisher： S. Hirzel Verlag

ISSN： 1610-1928

Source： Acta Acustica united with Acustica, Vol.88, Iss.6, 2002-11, pp. : 934-941

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

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.