多孔饱和半空间上刚体垂直振动的轴对称混合边值问题  

THE AXIALLY SYMMETRIC MIXED BOUNDARY-VALUE PROBLEM OF THE VERTICAL VIBRATION OF A RIGID BODY ON FLUID-SATURATED POROUS HALF SPACE

作　　者：金波[1] 徐植信[1] 

机构地区：[1]同济大学结构理论研究所

出　　处：《力学学报》1997年第6期711-719,共9页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：研究圆柱形刚体在多孔饱和半空间上的垂直振动．首先应用Ｈａｎｋｅｌ变换求解多孔饱和固体的动力基本方程———Ｂｉｏｔ波动方程．然后按混合边值条件建立多孔饱和半空间上刚体垂直振动的对偶积分方程，用Ａｂｅｌ变换化对偶积分方程为第二类Ｆｒｅｄｈｏｌｍ积分方程．文末给出了多孔饱和半空间表面动力柔度系数的计算曲线．Vertical vibration of a rigid body on fluid saturated porous half space is studied. At first governing equations of dynamic problem for fluid saturated solid (Biot's wave equations) are solved by Hankel transform. Then the dual integral equations of vertical vibration of a rigid body on fluid saturated porous half space are established according to the mixed boundary value condition. By applying Abel transform the dual integral equations are reduced to Fredholm integral equation of the second kind. The dynamic compliance coefficients for the surface of fluid saturated half space are given at the end of the paper.

关 键 词：多孔饱和半空间 刚体振动 垂直振动 混合边值 

分 类 号：O327[理学—一般力学与力学基础] TU311.3[理学—力学]