ABSTRACT
Plates are overwhelmingly used in constructing machines and they are, unfortunately, the dominant source of airborne sound that is produced due to their flexural vibration. Therefore, the study of plate vibration is very important from the vibro-acoustic viewpoint. First, beginning with the general partial differential equation for plates, the flexural response is expressed in terms of natural frequencies and mode shapes. Then, the uncoupled equations of motion are obtained using the orthogonality condition and expressed in terms of generalized coordinates, generalized masses, and generalized forces. Details can be obtained from references, as the procedure is very similar to those of beams. Second, the wave number for flexural vibration is obtained that can be resolved in two dimensions. Then, equations for the speed of bending waves in plates, group velocity, phase velocity, and modal density are obtained.
