Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4927652 | Soils and Foundations | 2017 | 15 Pages |
Abstract
A new formulation is presented here for harmonic wave motion in a transverse isotropic multilayered half-space. By means of a Fourier-Bessel transform, the complex partial differential equations of wave motion can be uncoupled into a pair of second order ordinary differential equations: one for SV-P vectorial waves (matrix size 2Â ÃÂ 2) and the other for SH scalar waves (matrix size 1Â ÃÂ 1). They have the same form as that for isotropic media. Thus, the same solution procedure as that for isotropic media is equally applicable to transverse isotropic media, which considerably simplifies the solution. Furthermore, by introducing a mixed variable formulation of the wave motion solution, the matrix form of Green's function for various boundary conditions of stratified soil is analytically derived. Numerical examples of Green's function and the dynamic foundation impedance demonstrate the accuracy and the efficiency of the proposed approach. The computation is unconditionally stable.
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geotechnical Engineering and Engineering Geology
Authors
Gao Lin, Zejun Han, Shan Lu, Jun Liu,