Acoustic scattering from a semi-infinite, elastic, cylindrical shell

A plane sound wave is obliquely incident on a semi-infinite elastic cylindrical shell (tube) which is mounted perpendicular to a rigid planar baffle. There is a circular hole cut in the plate, through which the tube is fitted snugly. The end of the shell, which protrudes through the baffle, is either clamped or hinged to a rigid disk; initially this disk is aligned flush with a baffle. The system is entirely surrounded by compressible fluids. A formal solution is obtained for the scattered pressure and investigated asymptotically for the case of small ka and heavy interior fluid loading.