扩底抗拔桩变形非线性分析
Nonlinear analysis of deformation for belled tension piles under vertical loading
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摘要: 建立了扩底抗拔桩的桩侧摩阻力荷载传递的非线性模型,在试验资料的基础上改进了扩底承载力计算模型,将抗拔桩的桩土相互作用归结为一阶常微分方程组在特定边界条件约束下的定解问题,采用等步长四阶Runge-Kutta法求解微分方程组,可以一次性求出桩身内力及变形值,为抗拔桩的计算分析提供了一种切实可行的新思路。由于考虑了桩土相互作用的非线性特性,计算模型较好地反映了桩土相互作用的实际性状,计算结果与试验结果进行对比分析表明二者吻合较好,验证了本文方法的正确性,可应用于实际工程问题的分析。Abstract: A nonlinear mathematical model for load transfer of belled tension pile-soil interface is established. The capacity model of the belled tension pile end is modified by field tests. Based on the assumed transfer functions the interaction between the belled tension pile and the soils is abstracted as the first-order differential equation system problem constrained by the specified boundary conditions. The Runge-Kutta method is used to solve this system of equations to obtain the internal forces and deformation of the belled tension pile, in short, the proposed approach is a practical new idea for analyzing belled tension piles as a useful supplement to traditional methods. Due to taking into account the nonlinear interaction between the belled tension pile and the soils, the theoretical model agrees well with the real performance of soils. By comparing the results obtained from the method with the field tests, the feasibility of the proposed model for the analysis of the belled tension piles is proved.