Characterization by a Time-Frequency Method of Classical Waves Propagation in One-Dimensional Lattice: Effects of the Dispersion and Localized Nonlinearities
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.
Document Type: Research Article
Publication date: 01 November 2002
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