Dynamic Soil Reactions in Radially Non-Homogeneous Soil Media

Abstract

Studies on soil structure interaction have been attracting the attention of research workers for the last two decades. Workable estimates of the complex stiffnesses under plane-strain conditions in homogeneous media have been provided by Prof. M. Novak. However, due to many reasons the soil may possess lesser values for the complex Lame's constants, namely λ and G, near the pile location. Analytical formulations, using Whittaker's functions have been presented for the four important loading cases encountered in piles, namely vertical, torsional, rocking and horizontal. The behaviour of the complex stiffnesses, as indicated by their real and imaginary parts, with the non-dimensional frequency parameter a^*_0(=ωγ_0/υ_s) has been discussed and relevant conclusions drawn.