Acoustic scattering from fluid-loaded plates with arbitrary boundary conditions.

Abstract

The dynamic response and acoustic scattering from a finite, fluid-loaded, rectangular plate, simply supported on two edges and with arbitrary boundary conditions on the remaining two edges are investigated. An analytic solution of the equation of motion of the plate is obtained by using a modal decomposition in the direction perpendicular to the simply supported edges and by using a spatial transform into the wave-number domain for the remaining direction. Since the plate is finite, when taking the spatial transform, four response-related parameters are obtained in the result of the transform. From knowledge of the boundary conditions a set of simultaneous equations can be set up and solved to evaluate these parameters. By obtaining the solution in the wave-number domain, the need for assuming a known mode shape is eliminated. Using this approach for solving the fluid–structure coupling problem, arbitrary boundary conditions can be considered. In this paper, the above approach is used to solve for the input and scattered acoustical power from two edge-coupled plates with a discontinuity at the common junction. [Work sponsored by ONR.]