3D dynamic soil-foundations interaction in a transversely isotropic medium-Impedance characteristics

摘要

In this paper the response of a rigid disk resting over a transversely isotropic semi infinite medium due to a harmonic vertical and rocking displacement stimulation are presented. By Hankel transform, a relaxed treatment of the mixed boundary-value problem is formulated as a system of coupled dual integral equations. By appropriate transformations, it is shown that the dual integral equations can be reduced to a pair of Fredholm integral equations, whose solutions are then numerically computed. To calculate the inverse Integral functions we use 2 point gauss method that obviates the singularity in pole and branch points on the integral path. The present solutions are analytically in exact agreement with the existing solutions for a half-space with isotropic material properties. To confirm the accuracy of the numerical evaluation of the integrals involved, numerical results are included for cases of different degrees of the material anisotropy