LINE FORCE RECEPTANCE OF AN ELASTIC CYLINDRICAL SHELL WITH HEAVY EXTERIOR FLUID LOADING

A time-harmonic line force is applied to an infinite elastic cylindrical shell immersed in compressible fluid. The force may also have axial harmonic dependence. The formal solution for the shell displacement is obtained as the sum of circumferential harmonics and evaluated in the asymptotic limit of heavy exterior fluid-loading. The resulting asymptotic expressions for the elements of the receptance matrix, either at the line of application of the force, or elsewhere on the shell surface, are simple trigonometric functions of the shell and fluid parameters, and show excellent agreement with numerical evaluation of the circumferential harmonic series over a wide frequency range.