中文摘要：

根据能量法中的格林公式以及桩微段和桩侧土微段的力平衡推导了多层地基中单桩的位移控制方程,该控制方程能综合考虑桩侧土的剪切和压缩过程。根据桩土系统的轴力和位移在各层地基边界处的连续条件以及传递矩阵法获得了多层地基中单桩在轴向荷载下的总刚度矩阵。由于位移函数非显式,因此运用迭代步骤进行求解,进而可以完全确定单桩的位移和力函数。结合算例1对本文方法进行了验证,结合算例2给出了桩侧和桩端土相互强化的一个弹性理论解释。最后结合一个工程实例对本文方法进行了验证。

英文摘要：

The deformation governing equation of a single pile in multilayer subsoil was derived based on Green Theorem of energy method and equilibrium of pile element and soil element,which can take account of the shear resistance and compression of surrounding soil of pile shaft.An integraged stiffness matrix of single pile under axial load in multilayer subsoil was obtained according to harmony of axial force and displacement at the boundary of each layer and transfer matrix method.As the deformation function was not explicit,an iterative procedure was used to resolve the value of the function which can determine the deformation and load of single pile.The presented method was verified with example one,and an elastic qualitative interpretation of strengthening interaction of surrounding soil of pile shaft and pile end was presented with example two.Finally,the presented method was checked with a practical project.