饱和地基上刚性圆板的扭转振动  

TORSIONAL OSCILLATIONS OF A RIGID DISC ON SATURATED POROELASTIC GROUND

作　　者：陈龙珠[1] 王国才[2] 

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

出　　处：《工程力学》2003年第1期131-136,共6页Engineering Mechanics

基　　金：国家自然科学基金资助项目(50079027)

摘　　要：用解析的方法首次研究了饱和地基上刚性圆板的扭转振动特性。首先运用Hankel变换求解饱和介质动力问题的控制方程,然后按混合边值条件建立了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第二类Fredholm积分方程。文末数值算例给出了动力柔度系数和扭转角幅值随无量纲频率的变化曲线,并与单相弹性介质情况进行了对比分析。数值结果表明:与经典的弹性介质上基础的振动特性相比,水相的存在对饱和地基上刚性圆板的扭转振动特性有一定的影响,且在共振频率附近可以减弱其振动,当土体渗透性较好时更是如此。Characteristics of torsional oscillations of a rigid disc on saturated poroelastic grounds are studied by analytical method for the first time. The dynamic governing equations for saturated poroelastic media are solved by means of Hankel transform. According to the mixed boundary-value conditions, the dual integral equations of torsional oscillations of a rigid disc resting on saturated poroelastic ground are established, which are further reduced to Fredholm integral equations of the second kind. The dynamic compliance coefficient curves and the torsional angle amplitude of a rigid disc versus the dimensionless frequency are presented. Numerical results indicate that, compared with the dynamic response of a rigid disc bearing on elastic half space, the presence of pore water has some effects on the characteristics of torsional oscillations of a rigid disc resting on saturated media and can reduce the dynamic response around the resonant frequency, especially when the soil permeability is very good.

关 键 词：饱和地基 刚性圆板 扭转振动 HANKEL变换 动力柔度系数 动力接触问题 

分 类 号：TU435[建筑科学—岩土工程]