The forced vertical vibratory motion of a rigid body with a circular base on the surface of a transversely isotropic material is investigated by using the method of Hankel transform. The total dynamic contact force is obtained through a complete contour integration in terms of the Rayleigh surface waves. The real-valued displacement functions are expressed in terms of the frequency factor and the anisotropic material constants. The resonant amplitudes of vibration are shown to depend significantly on the anisotropic material constants, the mass ratio, and the vibration frequency.

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