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基于梁挠曲线微分方程,考虑剪力对桩变形的影响,利用梁单元间变形、转角、弯矩和剪力协调条件,桩整体平衡条件,给出了Wieghardt地基模型下桩变形计算方法。根据与桩变形之间的导数关系,进一步得到桩的转角、弯矩和剪力表达式。算例分析表明,计算结果与有限元方法计算结果基本吻合,Wieghardt地基模型性能优于传统Winkler地基模型,考虑侧向连续性的Wieghardt地基模型能较好地模拟桩周土体对桩支承、约束及水平位移的影响。
Based on the differential equation of beam deflection and the influence of shear on pile deformation, the calculation method of pile deformation under Wieghardt foundation model is given based on the conditions of the deformation, corner, moment and shear coordination of beam elements and the overall equilibrium conditions of the pile. According to the relationship between the deformation of the pile and the derivative, the pile corner angle, bending moment and shear force expression are obtained. The results of numerical examples show that the calculated results agree well with those obtained by the finite element method. The Wieghardt foundation model is superior to the traditional Winkler foundation model. The Wieghardt foundation model considering the lateral continuity can well simulate the effect of pile-soil support, And the impact of horizontal displacement.