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Measurement of dispersion curves of circumferential guided waves radiating from curved shells: Theory and numerical validation

Abstract : A method is proposed to evaluate in a non-contact way the phase velocity dispersion curves of circumferential waves around a shell of arbitrary shape immersed in a fluid. No assumptions are made about the thickness or the material of the shell. A geometrical model is derived to describe the shape of the radiated wavefronts in the surrounding fluid, and predict the positions of its centers of curvature. Then the time-reversal principle is applied to recover these positions and to calculate the phase velocity of the circumferential waves. Numerical finite-difference simulations are performed to evaluate the method on a circular and on an elliptic thin shell. Different dispersion curves can be recovered with an error of less than 10%.
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Mathieu Chekroun, Jean-Gabriel Minonzio, Claire Prada, Pascal Laugier, Quentin Grimal. Measurement of dispersion curves of circumferential guided waves radiating from curved shells: Theory and numerical validation. Journal of the Acoustical Society of America, Acoustical Society of America, 2016, 139 (2), pp.790. ⟨10.1121/1.4941652⟩. ⟨hal-01305025⟩

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