多孔饱和半空间上弹性圆板的动力分析  

DYNAMIC ANALYSIS OF ELASTIC CIRCULAR PLATE ON FLUID SATURATED POROUS HALF SPACE

作　　者：金波[1] 徐植信[1] 

机构地区：[1]同济大学结构理论所

出　　处：《固体力学学报》1998年第2期112-119,共8页Chinese Journal of Solid Mechanics

摘　　要：用解析方法研究多孔饱和半空间上弹性圆板的低频垂直振动，首先用Ｈａｎｋｅｌ变换求解多孔饱和介质动力问题控制方程，然后按混合边值条件建立多孔饱和半空间上弹性板的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，并给出了数值算例．In this paper the low frequency vibrations of an elastic circular plate on a fluid saturated porous half space are studied by analytical method. At first the governing equations of dynamic problem for fluid saturated porous medium are solved by Hankel transform. Then the dual integral equations of vertical forced vibration of an elastic plate on a fluid saturated porous half space are established according to the mixed boundary valued condition. By applying Abel transform the dual integral equations are reduced to Fredholm integral equation of the second kind. Numerical examples are given at the end of the paper.

关 键 词：多孔饱和半空间 弹性圆板 动力响应 低频振动 

分 类 号：O347[理学—固体力学] TU435[理学—力学]