Dynamics of Transversely Isotropic Layered Soil Ground: Part 2, The Boundary Conditions of Transversely Isotropic Layered Soil ground

摘要

In this paper, the formulas of three kinds of boundary conditions (i.e. fixed, damping and halfspace boundary conditions)for transversely isotropic stratified media are derived. The methods combining these boundary conditions with the discretizedalgebraic eigenvalue equations for generalized Rayleigh and Love waves have been given. The dynamic responses oftransversely isotropic soil ground with these different boundary conditions to vertical and horizontal harmonic concentratedloads are evaluated and compared with the theoretical solutions. The comparison clearly shows that the responses of themedia with damping and halfspace boundary conditions are close to the theoretical ones when the media are thick. But for thefixed boundary condition, only the responses of upper soil layers are close to theoretical ones when the soil ground is thick.The results of soil layers near the bottom of the ground for fixed boundary condition are much different from those fordamping and halfspace boundary conditions. According to the evaluation, the applicable ranges for these boundary conditionsare suggested.