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Communication Dans Un Congrès Année : 2012

Simulation of vibrations of a 2D acoustic black hole placed in an infinite plate using the Finite Difference Time Domain method

Vivien Denis
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Résumé

The acoustic black hole effect is resulting from properties of propagation of flexural wave in beams and plates having non homogeneous thicknesses: if the thickness decreases locally, flexural waves slow down and the amplitude of the displacement field increases, leading to efficient energy dissipation if an absorbing layer is placed where the thickness is minimum. A pit of power law profile placed inside an elastic plate plays the role of a vibration damper and is called 2-dimensional acoustic black hole. Theoretical model of the phenomenon has been developed in the case of beams (1- dimensional configuration) and for linear medium. However, experimental testing on 2D configuration tends to show some unexpected damping effects that are possibly related to local nonlinear phenomena. A numerical model in the time domain based on the finite difference method is proposed to investigate the interaction between an incident wave emitted by a point source and a 2D acoustic black hole placed on an infinite plate. The local nonlinearities are taken into account using Von Karman theory of plate. Perfectly Matched Layer (PML) is used to represent the infinite plate. Numerical simulations permit to quantify the influence of the local non linear effects on the plate damping.
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Dates et versions

hal-00811018 , version 1 (23-04-2012)

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  • HAL Id : hal-00811018 , version 1

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Vivien Denis, Adrien Pelat, François Gautier. Simulation of vibrations of a 2D acoustic black hole placed in an infinite plate using the Finite Difference Time Domain method. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811018⟩
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