浅置基础地基等效水平刚度研究

Research on Equivalent Horizontal Stiffness of Shallow-burried Foundation

采用弹性力学中三维弹性半空间内作用水平集中荷载时的任意位置位移和应力解析解,对浅置基础(不考虑桩基与土的相互作用)下的地基等效水平刚度进行探讨。根据三维弹性半空间内作用水平向集中荷载时的任意位置位移和应力解析解及基础底面作用力分布形式,分别给出了三种不同类型圆形基础底面作用力分布形式下的地基水平向等效刚度;针对常见的矩形基础,给出了基于圆形基础底面下地基水平等效刚度的修正公式;讨论了常见水平层状地基中的地基水平向等效刚度修正方法,给出了水平层状地基中的地基水平向等效刚度的解析形式。对地基水平等效刚度解析形式的分析,可为求解考虑土-结构相互作用时的结构动力响应分析提供地基刚度特性。

The displacement and stress analytical solution of any position where a horizontal concentrated load is acting in the three-dimensional elastic half space in the elastic mechanics are applied for discussing the equivalent horizontal stiffness of subgrade under the shallow-burried foundation（ without considering the interaction of pile foundation and soil）. Based on the displacement and stress analytical solution of any position wherein and the distribution form of applied force at the bottom of foundation,the equivalent horizontal stiffness of subgrade under the distribution form of applied force at the bottom of three types of different round foundations is given respectively. Aiming at common rectangular foundation,the modification formula of equivalent horizontal stiffness of foundation at the bottom of the round foundation is given. The modification method of equivalent horizontal stiffness in the common horizontal level foundation as well as the analytical form of equivalent horizontal stiffness of foundation in the horizontal layered foundation are presented. For the analysis of analytical form of equivalent horizontal stiffness of foundation the stiffness features of foundation can be provided for analyzing the structural dynamic response when considering interaction of soil-structure.