| 饱和地基三维非轴对称动力响应 |
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| 引用本文： | 王小岗,黄义.饱和地基三维非轴对称动力响应[J].青海大学学报,2003,21(2):1-7,11. |
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| 作者姓名： | 王小岗 黄义 |
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| 作者单位： | [1]青海大学建工系，青海西宁810016；西安建筑科技大学土本工程学院，陕西西安710055 [2]西安建筑科技大学土本工程学院，陕西西安710055 |
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| 基金项目： | 国家自然科学基金资助项目 ( 5 96780 0 3 ) |
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| 摘 要： | 通过Laplace变换，建立了各向同性弹性饱和土在圆柱坐标系下，基于Laplace变换域内的Biot非轴对称波动方程；利用方位角的Fourier变换和径向Hankel变换，将波动方程转入为一组二阶常微分方程组；求解波动方程后，得到有限层厚的饱和地基的位移和应力通解;进而结合饱和地基的边界条件和排水条件，求解了任意竖向力作用下，饱和半空间地基的动力响应问题。
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| 关 键 词： | 饱和地基 Biot波动方程 Laplace变换 Fourier变换 Hankel变换 动力响应 |
| 文章编号： | 1006-8996(2003)02-0001-07 |
Dynamic response of 3-D non-axisymmetric elastic saturated soil-foundation |
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| WANG Xiao gang ,HUANG Yi.Dynamic response of 3-D non-axisymmetric elastic saturated soil-foundation[J].Journal of Qinghai University(Natural Science),2003,21(2):1-7,11. |
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| Authors: | WANG Xiao gang HUANG Yi |
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| Institution: | WANG Xiao gang 1,2,HUANG Yi 2 |
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| Abstract: | Based on the Biot's theory of two-phase medium, the 3-D non-axisymmetric dynamic governing equations of saturated soil is given. Then, by means of the method of Laplace integral transform, Fourier expanding and Hankel integral transform, the governing equations is solved in the Laplace-Hankel transforming region. Combining the boundary conditions and draining condition on the surface saturated soil-foundation, the non-axisymmetric dynamic response of displacement and stress and pore pressure in saturated half-space under vertical surface exciting are obtained. |
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| Keywords: | saturated soil-foundation Biot's wave equations Laplace integral transform Fourier expanding Hankel integral transform dynamic response |
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