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| Analysis of Green's functions in wavenumber-frequency domain for surface displacements of elastic layered half-space soil |
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| DOI：10.7511/jslx20086155 |
| KeyWord:soil model,elastic layered half-space,Green's function,wavenumber-frequency domain,cylindrical coordinates,transfer matrix |
| CAO Yan-mei XIA He |
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| Abstract: |
| The elastic layered half-space soil model is established in the cylindrical coordinates.For layered soil,the vibration transmission relations between the layers are formulated by the Zhong's stiffness matrix method and the Haskell-Thomson transfer matrix method.For half-space soil,the displacement vectors are decomposed as potential functions by the Helmholtz theorem to derive the relationship between the displacement vectors and the stress vectors on soil surface.For layered half-space soil,the upper layered soil is coupled with the bottom half-space soil by the compatibility conditions of the displacement and the stress on their interface,to obtain the transfer matrix between the displacement vector and the stress vector.Combined with the boundary conditions of soil surface under unit impulse excitation,the Green's functions for ground displacements in wavenumber-frequency domain are deduced.The Green's functions obtained are implemented by MATLAB,and their preliminary characteristics are presented via an example. |
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