摘要
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），建立了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Fredholm积分方程．
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
1999年第3期267-271,共5页
Chinese Journal of Solid Mechanics
关键词
多孔饱和半空间
刚性圆板
混合边界
透水条件
poroelastic half space, rigid circular plate, dynamic compliance coefficient, mixed boundary permeability condition
