弹性半空间地基上圆形基础板的位移场和应力场

Displacement and stress fields of circular base plates in elastic half space foundation

针对弹性半空间地基上圆形基础底板的弯曲问题,根据地基土壤的受力特性和已有实验研究成果,假设圆形基础底板底部与地基土壤之间是由竖向集中荷载引起的接触应力分布形式,采用板的弯曲理论和通过数值积分及最小二乘法拟合的方法,推导出完全满足边界条件的弹性半空间地基上圆形基础底板上部受集中力作用、下部受幂函数形式连续分布荷载作用时的位移场、径向和环向应力场的表达式。尽管圆形基础板属于中厚度板,但是该表达式的计算精度和可靠性得到了有限元分析软件ANSYS验证。

In order to solve the bending problem of the circular base plate which is pushed on the half-space elastic foundation,we introduced a significant equation.It’s theoretical verification of the issue was also presented.According to the forced characteristics of foundation soil and currently existing research achievements,we assumed that the contact force distribution between the bottom of the circular base plate and the foundation soil is was loaded by the vertical concentrated force.As a result,the expressions,which completely satisfied the boundary conditions of the multiple-forced circular base plate,were obtained by adopting the method of the numerical integration and the generalized least squares.Although circular base plates belong to middle thickness plates,the precision and reliability of the expressions were verified by ANSYS.