BE analysis of dynamics of rigid foundations embedded in transversely isotropic soils

The dynamic response of rigid massless cylindrical and hemispherical foundations embedded in transversely isotropic elastic soils is investigated in this study. The axis of symmetry of the foundation is assumed to be parallel to the material axis of symmetry of soil. The foundations are subjected to time-harmonic forces acting in the vertical and horizontal directions and a time-harmonic moment. The problems under consideration are solved by using the boundary element method. The kernels of the boundary integral equation correspond to elastodynamic Green's functions of a transversely isotropic elastic half space subjected to buried ring loads. Analytical solutions for Green's functions are used in the analysis. The solutions for impedances obtained from the present study are compared with those reported in literature for foundations embedded in isotropic soils. Selected numerical solutions are presented to portray the influence of material anisotropy, frequency of excitation and foundation geometry on impedances.