Transient response of an acoustic medium by an excited submerged spherical shell

An exact closed-form solution is obtained for the transient response of an acoustic fluid due to an excited submerged spherical shell. Step axisymmetric stress acting on the inner surface of the shell is expanded into modal Fourier components in which for each modal stress systematic exact expressions for modal radial displacement of the shell, fluid pressure, fluid particle velocity and displacement are presented. The superiority of the formulations herein is its applicability to any time and spatial distance in the fluid as well as on the shell. The formulation also does not require additional numerical computations associated with other methods. © 2001 Acoustical Society of America.