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.
出处
《力学学报》
EI
CSCD
北大核心
1997年第6期711-719,共9页
Chinese Journal of Theoretical and Applied Mechanics
关键词
多孔饱和半空间
刚体振动
垂直振动
混合边值
fluid saturated porous half space, Hankel transform, Biot's wave equations, rigid body, Fredholm integral equation of the second kind, dynamic compliance coefficients
