Vibration in an Infinite Isotropic Elastic Plate Due to a Vertical Harmonic Load

Abstract

Analysis and numerical results are presented for a problem in which a vertical harmonic load is applied to an infinite isotropic elastic plate. Two cases are analyzed: In the first case, an equal harmonic load is applied to the two bounding planes of the plate in a rectangular region, and in the second case, a harmonic load is applied to the bottom face equal and opposite to the harmonic load on the upper face of the plate. In each case, the vertical displacement at the center of the loaded area is derived and numerical results are presented.