饱和地基中埋置点源荷载的动力Green函数  

Dynamic Green's functions of saturated soils subjected to the internal excitation

作　　者：陈胜立[1] 张建民[1] 陈龙珠[2] 

机构地区：[1]清华大学土木水利学院,北京100084 [2]上海交通大学建筑工程与力学学院,上海200030

出　　处：《岩土工程学报》2001年第4期423-426,共4页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金资助项目 (5 99790 12 )

摘　　要：基于合理的弹性土波动方程 ,应用积分变换方法 ,研究了饱和半空间地基中埋置点源荷载的轴对称Lamb问题解答。借助数值Hankel反演 ,分析了地基表面竖向位移的变化规律 ,并考察了土的渗透性及激振频率对它的影响。本文的结论可应用于地下爆破及地下结构等动力分析 ,对工程实践有指导意义。Based on the modified theory of elastic wave in saturated soils, Lamb's problem for saturated soils is studied in this paper. First, the governing differential equations for saturated soils are solved by means of Hankel transform. Then, under the consideration of the boundary value condition, the solutions for the displacement and stress components of the saturated soils are expressed in term of integral forms which can be evaluated by numerical quadrature. Finally, the vertical surface displacement is numerically presented and the influence of the permeability and the frequency of the excitation on the vertical displacement is investigated. This study is reasonable for engineering practice and provides an effective method to analyze the similar problem about dynamic response of underground structure.

关 键 词：饱和地基 积分变换 点源荷载 激振频率 

分 类 号：TU435[建筑科学—岩土工程]