Abstract—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 present solutions are analytically and numerically in exact agreement with the existing solutions for a half-space with isotropic material.
Index Terms—Horizontal vibration, rigid foundation, dual integral equation, transversely isotropic half -space, green’s function.
Hamed Moghaddasi and Mohammad Rahimian are with the School of Civil Engineering, College of Engineering, University of Tehran, Tehran, P.O. Box 11155-4563, Iran (e-mail: Rahimian@ut.ac.ir)
Ali Khojasteh is with the School of Engineering science, College of Engineering, University of Tehran, Tehran Iran.
Cite: Hamed Moghaddasi, Mohammad Rahimian, and Ali Khojasteh, "Horizontal Vibration of a Rigid Circular Foundation on a Transversely Isotropic Half-Space," International Journal of Engineering and Technology vol. 4, no. 4, pp. 400-403, 2012.