INPLANE VIBRATIONS OF SOIL DEPOSITS WITH VARIABLE SHEAR MODULUS .2. LINE LOAD

The dynamic response of an inhomogeneous, linear-elastic half-space to a time-harmonic vertical line load on its surface is studied. The mass density and the Poisson's ratio are assumed to be constant and the shear modulus to increase continuously with depth according to a function which is bounded at infinity. This model can describe a wide range of uniformly deposited soil strata. Analytical solutions for the displacement field at the surface are obtained using the classical contour integration method by means of the residue theorem. The dependence of the displacement field on distance from the source, frequency and shear modulus variation is examined as well as the relative contribution of the higher surface wave vibration modes to the total displacement.