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Lamb waves and fluid-borne waves on water-loaded, air-filled thin spherical shells
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1989
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AeroacousticsHydroelasticityEngineeringSurface WaveFluid MechanicsMechanical EngineeringWave MotionWave PhysicsWave TheoryFluid-borne WavesWave LoadingLamb-wave ResonancesVibrationsPhysical AcousticResonance PhenomenaWave HydrodynamicsSpherical ShellsWave DynamicsOcean Wave MechanicsLamb WavesWave PropagationHydromechanicsUltrasoundFluid WavesWave-structure Interaction
The results of a recent study of fluid-borne waves on plates with one-sided fluid loading [M. Talmant, Ph.D. thesis, University of Paris VII (1987)] allow 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 on cylindrical shells were previously described [J. V. Subrahmanyam, Ph.D. thesis, Catholic University of America (1983); J. L. Rousselot, Acustica 58, 291 (1985)] and the fluid waves were observed by Talmant et al. [J. Acoust. Soc. Am. 84, 681–688 (1988)]. The resonances predicted by the plate model for spherical shells are confirmed here by comparison with scattering cross-section calculations using surface integral equation radiation and scattering (SIERRAS) and T-matrix codes.