饱和地基中埋置点源荷载的动力Green函数

饱和地基中埋置点源荷载的动力Green函数 English Version

基金项目: 国家自然科学基金资助项目 (5 99790 12 )

1.School of CivilHydraulic Engineering Tsinghua University Beijing 100084 China 2.School of ArchitectureCivil Engineering Shanghai Jiaotong University Shanghai 200030 China

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。
- 饱和地基 /
- Lamb问题 /
- 积分变换
Abstract: 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.
- saturated soils /
- Lamb’s problem /
- integral transform