REFLECTION OF A SPHERICAL SOUND-WAVE BY AN INFINITE ELASTIC PLATE DRIVEN TO VIBRATION BY A POINT FORCE

This paper theoretically analyses the reflected sound field by an infi nite elastic plate which generates its own sound field due to a point for ce excitation. The plate is a theoretical model for the stage floo r. A closed form expression for the far-field solution was derived by coupling the Helmholtz equation for sound fields surrounding the plate and the equation of motion for the plate. The solution indicates that the field above the plate excited by a point force consists of the re flected sound by the plate at rest without the point force and the rad iated sound from the plate excited bl? the point force. The general fe atures of the field reflected by the vibrating plate with the point fo rce excitation are discussed with the theoretical solution and numeric al examples. The numerical examples are also presented to demonstrate the effects of the plate parameters on the sound field. (C) 1998 Elsev ier Science Ltd. All rights reserved.