广义Gibson地基上刚性圆板的扭转特性(英文)  

Torsional dynamic characteristics of rigid disc on generalized Gibson stratum

作　　者：杨云芳[1] 吴大志[1] 

机构地区：[1]浙江理工大学建筑工程学院,浙江杭州310018

出　　处：《岩土工程学报》2009年第6期959-964,共6页Chinese Journal of Geotechnical Engineering

基　　金：Social Development Project of the Science and Technology Department of Zhejiang Province(2008C33051)

摘　　要：考虑地基为饱和的且下卧基岩,研究了广义Gibson地基上刚性圆板在简谐扭转荷载作用下的动力响应问题。从饱和地基Biot理论出发,建立了剪切模量随深度线性变化的饱和地基动力微分方程,结合扭转振动的特点,通过Hankel变换求解了此微分方程,给出了Hankel变换域内的剪应力和切向位移。然后根据饱和地基与基础接触面处为混合边界条件、饱和地基与基岩接触面处应力和位移连续等边界条件,建立了描述扭转振动的对偶积分方程,借助数学方法求解此对偶积分方程,并给出了基础的动力柔度系数和角位移幅值的表达式。最后通过数值算例研究了地基的非均质性和渗透性对基础扭转特性的影响。Dynamic characteristics of a rigid disc, which rests on a saturated stratum with shear modulus increasing linearly with the depth, subjected to harmonic torque, are investigated. On the basis of Biot＇s theory of the saturated soil, dynamic differential equations of generalized Gibson soil are established. Considering the traits of torsional vibration, the differential equations are solved by using the technique of Hankel transform, and the shear stresses and radial displacement in Hankel transform domain are formulated. Considering the boundary conditions at the upper and lower surfaces of the stratum, a set of dual integral equations are established. By mathematical method, the dual integral equations are solved, and the dynamic compliance coefficient and angular amplitude of the foundation are expressed explicitly. Numerical examples are presented to investigate the influence of the shear modulus gradient and permeability coefficient on the results.

关 键 词：广义Gibson地基 饱和地基 刚性圆板 积分方程 扭转特性 

分 类 号：TU411[建筑科学—岩土工程]