Forced Vibration of a Clamped Rectangular Plate in Fluid Media

Forced vibration of a thin rectangular plate clamped in a rigid infinite baffle is analyzed. The plate is assumed to separate two different fluid media and the vibration is excited by a simple plane wave of high frequency (as compared with c/2√πab) normally incident from one side of the plate. Using the characteristic shape functions the Lagrange equations of motion of the plate are set up in generalized coordinates. The solutions of the equations render series expressions for the plate deflection and an energy transmission coefficient. Certain numerical results are given.