Forced vibrations of a mass connected to an elastic half-space by an elastic rod or a spring

An analysis of the forced vibrations of a rigid mass connected to an elastic half-space by an elastic rod or a spring and subjected to a harmonic disturbing force in the direction of the rod or the spring axis is presented. The response curves of a rigid mass are obtained, for both (A) uniform normal stress distribution and (B) uniform normal displacement at the interface between a rod and a half-space. Numerical results are presented for three kinds of rod and half-space material combinations, and the effect of stiffness, mass, and damping of an elastic half-space on the response curves of the system are shown. The force transmissibility curves are also given.