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Article Dans Une Revue Acta Acustica united with Acustica Année : 2018

Second-Harmonic Generation in Acoustic Waveguides Loaded with an Array of Side Holes

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Résumé

We study analytically and numerically second-harmonic generation in a one-dimensional weakly lossy nonlinear acoustic metamaterial composed of an air-filled waveguide periodically loaded by side holes. Based on the transmission line approach, we derive a lossy nonlinear dispersive lattice model which, in the continuum limit, leads to a nonlinear, dispersive and dissipative wave equation. The latter is studied by means of a perturbation method, which leads to analytical expressions for the first and second harmonics, in very good agreement with numerical results.
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hal-02406875 , version 1 (12-12-2019)

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Jiangyi Zhang, Vicente Romero-García, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, et al.. Second-Harmonic Generation in Acoustic Waveguides Loaded with an Array of Side Holes. Acta Acustica united with Acustica, 2018, 104 (2), pp.235-242. ⟨10.3813/AAA.919165⟩. ⟨hal-02406875⟩
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