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论文类型：期刊论文

发表时间：2017-06-01

发表刊物：SOILS AND FOUNDATIONS

收录刊物：SCIE、EI

卷号：57

期号：3

页面范围：397-411

ISSN号：0038-0806

关键字：Wave motion; Transverse isotropic medium; Multilayered half-space; Green's function; Dynamic impedance of embedded foundation

摘要：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 2 x 2) and the other for SH scalar waves (matrix size 1 x 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. (C) 2017 Production and hosting by Elsevier B.V. on behalf of The Japanese Geotechnical Society. This is an open access article under the CC BY-NC-ND license.