半空间饱和土在内部简谐垂直力作用下的Green函数

摘要

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.%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.