准饱和土地基刚性基础的竖向振动分析  

Vertical vibration of a rigid foundation on nearly saturated soil

作　　者：周洪峰[1] 朱陆明 徐长节[1] 蔡袁强[1] 

机构地区：[1]浙江大学岩土工程研究所,浙江杭州310027 [2]浙江恒业房地产开发有限公司,浙江杭州310027

出　　处：《哈尔滨工业大学学报》2006年第4期605-608,共4页Journal of Harbin Institute of Technology

摘　　要：基于B iot两相介质动力固结理论,考虑土体和流体的惯性及水土之间的耦合作用,并针对准饱和土地基的特点,考虑了流体的可压缩性,研究了饱和度对地基上刚性基础竖向振动的影响,运用Hankel变换技术求解动力控制方程,然后按混合边值条件建立起对偶积分方程,并将其化为易于数值计算的第二类Fred-holm积分方程.分别以砂土和黏土为例,给出了地基表面动力柔度系数和无量纲基础振幅随无量纲频率的变化规律.数值分析结果表明:饱和度对地基上刚性基础的竖向振动有较大的影响,饱和度的微小变化会引起竖向振动的较大变化,并且土体的渗透性也对竖向振动特性存在一定影响.Based on the Biot＇s two - phase theory for fluid - saturated porous media, and the consideration of the inertia force of the solid and the liquid and the coupling function between them as well as the compressibility of the liquid, the effect of vibration induced by saturation is discussed. By employing the technology of Hankel transform, the dynamic governing differential equations are solved. Considering the boundary condition, the dual integral equations of vertical vibration are established which are reduced to Fredholm integral equation of the second kind. The law of the variation of the dynamic compliance coefficients for the nearly saturated soils and the amplitude of vibration of footing is presented. Numerical results indicate that, the effect of vibration induced by saturation is so notable that even a slight decrease of complete saturation may lead to substantial change in the vibration, and the permeability coefficient has some influence on the dynamic response.

关 键 词：饱和度 刚性基础 竖向振动 动力柔度系数 

分 类 号：TU435[建筑科学—岩土工程]