上覆单相弹性层的饱和地基上刚性圆板的扭转振动分析  

TORSIONAL VIBRATIONS OF A RIGID DISK RESTING ON SATURATED MEDIUM WITH AN ELASTIC SUPERSTRATUM

作　　者：王国才[1] 陈龙珠[2] 陈胜立[2] 

机构地区：[1]浙江大学建筑工程学院,杭州310027 [2]上海交通大学建筑工程与力学学院,上海200030

出　　处：《固体力学学报》2003年第1期24-30,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金 (50 0 790 2 7)资助

摘　　要：采用解析的方法研究了上覆单相弹性层的饱和地基上刚性圆板的扭转振动 .首先运用积分变换技术分别求解了单相弹性介质和饱和介质情况时的控制方程 ,然后按混合边值条件建立了上覆单相弹性层的饱和地基上刚性圆板扭转振动的对偶积分方程 ,并把对偶积分方程化为易于数值求解的第二类Fredholm积分方程 ,并给出了数值算例 .Torsional vibrations of a rigid disk resting on saturated medium with an elastic superstratum are studied by analytical methods. First the governing equations of elastic and saturated medium are solved by integral transform methods. Then according to the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid disk resting on saturated medium with an elastic superstratum are established, which are reduced to Fredholm integral equation of the second kind. Numerical examples are given at the end of the paper.

关 键 词：上覆单相弹性层 饱和地基 刚性圆板 扭转振动 混合边值条件 积分变换 动力柔度系数 扭转角幅值 

分 类 号：TU435[建筑科学—岩土工程]