竖向荷载下桩基础弹性分析的改进计算方法

将Randolph剪切位移方法中桩身位移与桩端位移的函数关系简化为一多项式，并与Poulos积分方程中土体柔度系数矩阵相结合，提出了一种竖向受荷单桩弹性分析的改进计算方法，从而避免了Poulos积分方程法中的差分运算以及由此带来的其他矩阵运算，同时比Randolph方法更能准确模拟桩身剪切应力的分布，并将单桩的改进计算方法应用于群桩分析。将改进的计算方法与Poulos、Randolph方法以及Chow混合方法的单桩和群桩计算结果进行了比较，结果表明：改进计算方法是可行的，可满足精度要求。

An improved elastic analysis method of pile foundation under vertical loading

The simplified analysis method of single pile subjected to vertical loading combined soil displacement factors matrix in Poulos’s integral equation method with the polynomial linked pile body and pile tip displacement which is deduced from Randolph’s shear displacement method. So the finite difference calculation in integral equation method is out of need herein. The method is more accurate to characterize shear stress allocation than Randolph method. Pile group under vertical loading can also be analyzed with the simplified method. Comparison with Poulos method, Randolph method and Chow’s hybrid method for single pile and pile group analysis show that the simplified method is feasible and accurate.