Abstract
Scattering and transmission of sound waves of somewhat more general form than simple plane waves are analysed for soatterers in the form of a thin elastio simply-supported rectangular plate in a rigid inflnite baffle. The plate is assumed to separate two different fluid media, and the sound radiation from the plate undergoing forced vibrations under the influence of the incident wave pressure is studied. Unlike the solid scatterer, whose dynamic characteristics are little different in vacuum and in certain fluid media, the characteristics of elastic plates are profoundly altered by fluid reaction. By correlating the general solution of the wave equation in the fluid media with that of the Lagrange equations of the elastic plate at the plate-fluid media interfaces, the deflexion of the plate motion is determined. A transmission coefficient t is then defined and derived. In the appendixes, expressions for an energy ratio η and the reactions at the plate supports are given.
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