Abstract
In order to clarify the dynamical characteristics of a water-saturated sandy soil ground, in this paper, the authors apply the theory of dynamical ground compliance, which is one of the methods estimating the dynamical properties of a sub-soil ground, to an interaction problem between a circular foundation and a water-saturated elastic half space. In Sec. 2 are derived the analytical solutions of statical and dynamical ground compliance of the circular foundation subjected to a vertical harmonic excitation on the semi-infinite aggregate body with surface boundary permeability condition, i.e. with pervious or impervious boundary condition. They deduce the analytical results about the average stresses in the porous elastic solid and the pore water at the loading area respectively. In order to investigate the dynamical effect of the second kind waves in the aggregate body, in Sec. 3 is discussed the method to simulate the dynamical characteristics of the soil aggregate with those of Voigt-type viscoelastic body by using such the properties of the first kind dilatational and rotational wave as phase velocity and attenuation facter of each wave in the soil aggregate. And also they discuss how to choose any kind of measures for the evaluation of the dynamical characteristics of a sub-soil ground in consideration of such physical quantities as dissipation energy through ground and elastic potential energy. In sec. 4 are decided the actual values of constants and coefficients in the multi-phase medium for numerical processing, and in Sec. 5 they investigate the numerical results of the average stresses of the porous elastic solid and the pore water at the loading area respectively.
