上覆单相弹性层的饱和地基上刚性圆板的摇摆振动分析  

Rocking Vibration of a Rigid Disk Resting on Saturated Medium with an Elatstic Superstratum

作　　者：付兵[1] 刘国华[1] 王振宇[1] 陈龙珠[2] 

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

出　　处：《科技通报》2006年第3期372-376,384,共6页Bulletin of Science and Technology

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摇摆振动.首先运用积分边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部分饱和地基上刚性圆板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,数值算例给出动力柔度系数和摇摆振动转角幅值随无量纲频率变化的曲线,并与完全饱和介质情况进行了对比。数值结果表明,在共振频率附近,弹性层的存在可减弱其振动。Rocking vibration of rigid disk resting on saturated medium with an elastic superstratum are studied by analyrical methods. Firstly the governing equations of elastic and saturated medium are solved by Hankel transform. Then according to the mixed boundary-value conditions,the dual integral equations of rocking oscillations of a rigid disc resting on saturated medium with an elastic superstratum are established, which are further reduced to Fredholm integral equations of the second kind. The dynamic compliance coefficient curves and the rocking 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 beating on saturated poroelatice medium only, the existing of the elastic superstratum can reduce the dynamic response around resonant frequency.

关 键 词：摇摆振动 刚性基础 积分变换 动力柔度系数 

分 类 号：TU435[建筑科学—岩土工程]