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Published on: June 5, 2020
Measurement of dispersion curves of circumferential guided waves radiating from curved shells: Theory and numerical
Mathieu Chekroun1, Jean-Gabriel Minonzio2, Claire Prada3
1Laboratoire d'Acoustique de l'Université du Maine UMR-CNRS 6613, av. Olivier Messiaen, 72085 Le Mans Cedex 9, France.
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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