NEOCLASSICAL SOLUTION OF TRANSIENT INTERACTION OF PLANE ACOUSTIC-WAVES WITH A SPHERICAL ELASTIC SHELL

A detailed solution to the transient interaction of plane acoustic wav es with a spherical elastic shell was obtained more than a quarter of a century ago based on the classical separation of variables, series e xpansion, and Laplace transform techniques. An eight-term summation of the time history series was sufficient for the convergence of the she ll deflection and strain, and to a lesser degree, the shell velocity, Since then, the results have been used routinely for validation of sol ution techniques and computer methods for the evaluation of underwater explosion response of submerged structures. By utilizing modern algor ithms and exploiting recent advances of computer capacities and floati ng point mathematics, sufficient terms of the inverse Laplace transfor m series solution can now be accurately computed. Together with the ap plication of the Cesaro summation rising lip to 70 terms of the series , two primary deficiencies of the previous solution are now remedied: meaningful time histories of higher time derivative data such as accel eration and pressure are now generated using a sufficient number of te rms in the series; and uniform convergence around the discontinuous st ep wave front is now obtained, completely eradicating spurious oscilla tions due to the Gibbs' phenomenon. New results of time histories of r esponse items of interest are presented. (C) 1996 John Wiley & Sons, I nc.