Lamb waves and fluid-borne waves on water-loaded thin spherical shells

Abstract

A recent study of fluid-borne waves on plates with one-sided fluid loading [M. Talmant, Ph.D thesis, University of Paris VII (1987)] allows the prediction of the corresponding waves and their resonances (as well as of the Lamb-wave resonances) on thin submerged spherical shells. Similar fluid waves and the ensuing bifurcation in the dispersion curves of the first antisymmetric vibration mode (reminiscent of the repulsion of atomic levels) on cylindrical shells were previously described [Breitenbach et al., J. Acoust. Soc. Am. 74, 1267 (1983); J. V. Subrahmanyam, Ph.D. thesis, Catholic University (1983)] and observed [Talmant et al., J. Acoust. Soc. Am. (in press)]. The predicted resonances were confirmed by scattering cross section calculations using SIERRAS (R.D.M.) and T-matrix (M.F.W.) codes.