Vibration Analysis On Transversely Isotropic Saturated Soils

The study of dynamic response of saturated soils is an important issue to geotechnical engineering. It is of great value to the analysis and design of foundations subjected to dynamic loads, such as vibrating machines and seismic waves.On the basis of the existing result, some work is studied in this paper. Firstly, according to Biot's dynamic equations of transversely isotropic soils, Hankel transform is used to obtain the solutions of vertical vibration on saturated soils under harmonic loading. The numerical inversion of Hankel transform is used to obtain some results to investigate the effect of the type and degree of soils anisotropy, the permeability coefficient and the loading frequency on the vertical displacement, the effective stress and pore pressure.Secondly, by the means of Hankel transform and matrix transfer, the vertical vibration in half-saturated soils is solved. The solution of radial and vertical surface displacement in the case of drained interface is obtained in integral form. The numerical inversion of Hankel transform is used to analyze the effect of anisotropy of the elastic soils and the saturated soils on the vertical surface displacement.Thirdly, by use of Laplace-Hankel transform, the vertical vibration problem in saturated layered soils subjected to arbitrary loading is solved. The solutions of vertical surface displacement and pore pressure in the case of drained interface of saturated layered soils with underlying rock-stratum. Adopting the numerical inversion of integral transform, the dynamic response of soils under the gradually applied step loading and the sinusoidal loading is investigated.Finally, taking the problem of dynamic response of transversely isotropic saturated soils under arbitrary loading, the Laplace-Hankel transform is used to obtain the solutions of surface displacement, effective stress and pore pressure of transversely isotropic saturated half-space subjected to arbitrary loading. A numerical result is given to study the dynamic response of surface displacement.