积分方程法研究均质地基中单桩的工程性状

采用积分变换方法求解弹性半空间中圆形荷载的基本解,按照虚拟桩法建立分析模型,基于圆形荷载的基本解推导出单桩分析的第二类Fredholm积分方程,对其进行数值计算求得桩身各点处的轴力、剪力和位移等,与经典的弹性解答相比,本文的理论更为严密.通过对单桩的荷载传递、沉降特性以及临界桩长等问题的参数分析,得出一些具有工程应用价值的结论.

Studies on the behaviors of single pile in homogeneous soil with integral equation method

Basic solution in elastic half space under circle load was obtained with integral-transform method and the analytical model was set up using the fictitious pile method, then the Fredholm integral equation of the second kind for single pile was deduced out. Numerical method was used to solve the equation and the axial forces, shear forces and displacements along pile were obtained. Compared with classical elastic solutions, the theory used in this paper is more rigorous, and the more solutions can be got. With the above method, parameters analysis were applied on the load transfer characters, settlement characters and critical length for single pile and some valuable conclusions were given for engineering practice.