Farfield Radiation from an Infinite Elastic Plate Excited by a Transient Point Loading

Abstract

An expression is obtained for the farfield pressure radiated by a thin elastic plate bounded on one side by a fluid medium when the plate is excited by a time-varying point load. Both the fluid and the plate are considered to be infinite in extent. The solution is obtained with the use of transform theory to solve the coupled differential equations describing the transverse motion of the plate and the velocity potential in the fluid: A Hankel transform is used on the spatial coordinate and a Laplace transform on the temporal variable. The inverse Hankel transform is evaluated using the saddle-point integration technique. The inverse Laplace transform is expressed as a convolution integral that is evaluated for the case when the point load is a short tone burst.