Free vibration of rectangular plates with two symmetrically distributed clamps along one edge
In this paper the method of superposition is employed to compute the free vibration eigenvalues for a thin rectangular plate held in a cantilever configuration by a pair of clamps symmetrically distributed along one edge. Eigenvalues are tabulated for the limiting case when the clamp area approaches zero and the plate is supported by applied concentrated forces and moments. The method is equally applicable to cases where the clamps cover a finite area. Good agreement has been obtained when theoretical results are compared with those obtained experimentally. By means of a small modification to earlier computational practices it has been possible to greatly increase accuracy. The modification is described in detail.