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.
出处
《固体力学学报》
CAS
CSCD
北大核心
1998年第2期112-119,共8页
Chinese Journal of Solid Mechanics
关键词
多孔饱和半空间
弹性圆板
动力响应
低频振动
fluid saturated porous half space, elastic circular plate, dynamic response, Hankel transform, Fredholm integral equation of the second kind
