title: 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%.
authors.affiliation: Laboratoire d'Acoustique de l'Université du Maine UMR-CNRS 6613, av. Olivier Messiaen, 72085 Le Mans Cedex 9, France.
authors.forename: Mathieu
authors.initials: M
authors.lastname: Chekroun
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7371, INSERM UMR_S 1146, Laboratoire d'Imagerie Biomédicale, F-75005, Paris, France.
authors.forename: Jean-Gabriel
authors.initials: JG
authors.lastname: Minonzio
authors.affiliation: Institut Langevin, Ecole Superieure de Physique et de Chimie Industrielles Paris Tech, Universite Denis Diderot Paris 7, CNRS 7587, 1 rue Jussieu, F-75005 Paris, France.
authors.forename: Claire
authors.initials: C
authors.lastname: Prada
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7371, INSERM UMR_S 1146, Laboratoire d'Imagerie Biomédicale, F-75005, Paris, France.
authors.forename: Pascal
authors.initials: P
authors.lastname: Laugier
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7371, INSERM UMR_S 1146, Laboratoire d'Imagerie Biomédicale, F-75005, Paris, France.
authors.forename: Quentin
authors.initials: Q
authors.lastname: Grimal