具有混合边界透水条件的多孔饱和半空间上刚性圆板的垂直振动

用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。首先应用逐次解耦方法求解多孔饱和固体的动力基本方程－Ｂｉｏｔ波动方程。然后考虑混合边界透水条件（半空间表面与圆板的接触面是不透水的，而其余表面是透水的），建立子多孔饱和半空间上刚性圆板垂直振动的对偶积分方程，并化对偶积分方程为第二类Ｆｒｄｄｈｏｌｍ积分方程。

VERTICAL VIBRATION OF A RIGID CIRCULAR PLATEON A POROELASTIC HALF SPACE WITH MIXEDBOUNDARY PERMEABILITY CONDITION

The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation. Firstly the governing equations for dynamic problem of fluid-saturated poroelastic solid are solved by a new method in which the potentials are not introduced. Then the dual integral equations of the venical vibration of a rigid circular plate on a fluid-saturated poroelastic half space are established according to the mixed boundary permeability condition (The interface between the plate and the poroelastic half space is assumed to be impervious and the exterior region is assumed to be pervious). These dual integral equations are further reduced to Fredholm integral equations of the second kind.