Approximate solutions of the dispersion equation for fluid-loaded cylindrical shells

Abstract

The dispersion equation for fluid-loaded cylindrical shells is solved to derive approximate analytical solutions that give complex wave numbers for elastic waves on the shell. Examples are given for shear, compressional, and flexural waves, which are known to be the dominant components in acoustic radiation and scattering problems in a wide frequency range. The derived approximate solutions are compared with results of numerical solutions, which shows very good accuracy.