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Horizontal vibration of a rigid circular foundation rested on the top of a transversely isotropic half-space is presented. By using fundamental Green's functions and applying Hankel integral transform in the radial direction and Fourier series the problem may be changed to a system of four separate integral equations, which, in turn, are reduced to a pair of Fredholm equation of the second kind. Under dynamic excitation, the related compliance function are numerically evaluated. The presentdoi:10.7763/ijet.2012.v4.394 fatcat:l4ywxwghxfaghazg4aludtrmdi