Lamb wave attenuation in a rough plate. II. Analytical and numerical results in a fluid plate

Catherine Potel (1, 2) , Damien Leduc (2, 3) , Bruno Morvan (2, 3) , Claude L. Depollier (1, 2) , Anne-Christine Hladky (2, 4) , Jean-Louis Izbicki (2, 3) , Philippe Pareige (2, 3) , Michel Bruneau (1, 2)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans
2 FANO - Fédération Acoustique du Nord-Ouest
3 LOMC - Laboratoire Ondes et Milieux Complexes
4 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520

Abstract : This paper aims at providing analytical and numerical approaches to analyse the behaviour of guided waves (Lamb-type waves) propagating inside plates with a rough surface considered here as distributed small perturbations. A physical interpretation of the attenuation phenomenon of the propagating mode generated by the source (mode coupling) is provided for an ideal rough plate (fluid plate) using an analytical model available in the literature. This analytical model is validated using a numerical method (FEM). The obtained results on periodically corrugated surfaces of fluid plates emphasize the role played by the spatial period and the modal coupling. They serve also as results for interpreting the effect due to randomly rough surfaces in solid plates, notably the effect of the Power Spectrum Density of the rough profile (including the effect of the statistical roughness parameters mentioned in Part I). The results obtained experimentally and theoretically, for the attenuation factor of the main Lamb wave, are found close one to the other.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Catherine Potel, Damien Leduc, Bruno Morvan, Claude L. Depollier, Anne-Christine Hladky, et al.. Lamb wave attenuation in a rough plate. II. Analytical and numerical results in a fluid plate. Journal of Applied Physics, 2008, 104 (7), pp.074909-1 : 074909-6. ⟨10.1063/1.2979851⟩. ⟨hal-00322971⟩