用链杆法求解中厚度地基上基础板

本文提出了完全粘合于刚性下卧层上的中厚度地基表面在矩形均布荷载作用下的沉陷计算公式。采用了有限单元法和链杆法的技巧,用有限单元法求板的位移,用链杆法求板与地基间的接触反力。由于充分利用有限元法和链杆法的优点,大大减小了求解问题的规模,而计算效率则显著提高。文中的算例还说明,半空间地基和文克勒地基都是中厚度地基的特殊情况。

Solution of Plates on Elastic Layer of Finite Depth by Rigid Bar Method

Analytical formulas to compute the settlement of elastic layer subjected to rectangutar uniform load are presented. The elastic layer has a finite depth and sticks to a rigid stratum. The Finite Element Method is used to find the displacement of plates, and the Rigid Bar Method is used to determine the contact pressure between plates and soil foundations. By virtue of the advantages of FEM and RBM the problems are simplified and the computational efficiency is improved remarkably. The numerical results prove that both half-space and winkler foundation are particular cases of the elastic layer of finite depth.