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本文对于桩基与无限土体介质的相互作用问题讨论一种半解析数值解法。无限延伸的土体介质片的位移函数沿竖向及径向取用解析函数,而沿周向采用分片多项式。桩管可以是任意截面形状的,并分割为相应的柱状弯曲条。结构与介质在接触面上相互协调。采用这种方法,可使三维相互作用问题简化为一维数值问题,同时,径向无限边界可得以正确模拟,比现有的有限边界人工处理更为优越。层土中桩端刚度分析的数例说明了这一方法的适用性。
This paper discusses a semi-analytical numerical solution for the interaction between pile foundation and infinite soil medium. The displacement function of the indefinitely extended soil media piece takes analytic functions along the vertical and radial directions and slice polynomials along the circumferential direction. The pile tube can be of any cross-sectional shape and is divided into corresponding columnar curved strips. The structure and the medium are coordinated with each other on the contact surface. Using this method, the three-dimensional interaction problem can be reduced to a one-dimensional numerical problem. At the same time, the radial infinite boundary can be correctly simulated and is more superior than the existing limited boundary artificial processing. Several examples of the analysis of the stiffness of pile ends in layered soils illustrate the applicability of this method.