Vibration of A Rigid Circular Disk on an Infinite Isotropic Elastic Plate

The solution for a rigid circular disk vibrating vertically on an infinite elastic thick plate is investigated. Two cases are analyzed in which (a) the rigid disk is vibrating on an infinite plate that rests on a rigid immovable base, and (b) the rigid disk is vibrating on one surface of the plate while the other surface is kept free. The dual integral equations technique of Lebedev and Ufliand is utilized to solve the mixed boundary†value problems. Numerical results are presented to illustrate the method. © 1967, Acoustical Society of America. All rights reserved.