| 半空间饱和土在内部简谐垂直力作用下的Green函数 |
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| 引用本文： | 王建华,陆建飞,沈为平. 半空间饱和土在内部简谐垂直力作用下的Green函数[J]. 水利学报, 2001, 32(3): 0054-0058 |
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| 作者姓名： | 王建华 陆建飞 沈为平 |
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| 作者单位： | 上海交通大学建筑工程与力学学院, |
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| 基金项目： | 国家自然科学基金资助项目(59879012)；国家教委博士点基金项目(98024832). |
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| 摘 要： | 本文利用积分变换方法求解了半空间饱和土内部作用简谐垂直力时的Green函数。首先根据Hankel积分变换方法直接对频域内的Biot波动方程进行求解，得出了Biot波动方程的通解。利用上述通解以及边界条件和连续性条件可得上述边值问题的变换域内的解，进行相应的逆变换可得频域内的Green函数。
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| 关 键 词： | Biot理论 Green函数 Hankel变换 |
| 文章编号： | 0559-9350(2001)03-0054-05 |
The Green function of harmonic vertical load applied on the interior of the half space saturated soil |
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| WANG Jian hu,LU Jian fei,SHEN Wei ping. The Green function of harmonic vertical load applied on the interior of the half space saturated soil[J]. Journal of Hydraulic Engineering, 2001, 32(3): 0054-0058 |
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| Authors: | WANG Jian hu LU Jian fei SHEN Wei ping |
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| Affiliation: | Jiaotong University |
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| Abstract: | By using integral transform method, the problem of harmonic vertical force applied on the interior of the half space in saturated soil is solved. First, the Biot wave equation for frequency domain is solved using the Hankel transform method. Thus, the general solution is deduced. Utilizing the general solution and boundary conditions, the solution in transformed domain is obtained. The Green function in frequency domain can be obtained by using the corresponding inverse transform method. |
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| Keywords: | Boit theory Green function Hankel transform |
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