Acoustic scattering by a rigid disk or annulus clamped to two concentric cylindrical elastic shells

Abstract

A plane sound wave is incident upon a system of two concentric cylindrical shells. Linking the shells in such a way that reaction forces and bending moments are transmitted to the shells is a disk or annulus which can undergo rigid body motion only, and which remains perpendicular to the shells at the point of attachment. The shells are surrounded by a compressible fluid, which may also occupy the region between the shells. The scattered pressure is investigated asymptotically for the cases when the exterior fluid provides heavy fluid loading on the outer shell with no fluid between the shells, and when the heavy fluid also occupies the region between the shells, in which case the additional limits of either large or small shell spacing are employed.