不同端承条件下桩周土体竖向摩阻力和Winkler参数分布特征理论分析

THE DISTRIBUTION CHARACTERISTICS OF VERTICAL FRICTIONAL RESISTANCE AND WINKLER MODULUS OF PILE-SURROUNDING SOIL UNDER DIFFERENT PILE END-BEARING CONDITIONS

  • 摘要: 该文基于Tajimi模型,研究了不同端承条件下桩周土体竖向摩阻力和Winkler参数分布特征。将桩周土体考虑为弹性连续介质建立其控制方程,通过分离变量法求解得到含待定系数的桩周土体竖向位移和摩阻力表达式。利用虚土桩的概念,将桩和桩底土柱考虑为一维杆件建立其控制方程,考虑桩土相互作用并联立边界条件,求解得到了待定系数,从而得到了竖向受荷单桩桩周土体摩阻力及Winkler参数的解析表达式。基于所得解析解,分析了不同桩土模量比和桩长径比下摩擦桩和端承桩的桩周土体摩阻力和Winkler参数分布特征,推导了桩周土体等效Winkler参数解析表达式并给出了其简化拟合公式。

     

    Abstract: Based on the Tajimi model, the distribution characteristics of vertical frictional resistance and Winkler parameters of the soil surrounding the pile under different end-bearing conditions are investigated. The governing equations are established by considering the surrounding soil as an elastic continuous medium, and the expressions of vertical displacement and frictional resistance of the surrounding soil with undetermined coefficients are obtained by solving the governing equations using the method of separated variables. Utilizing the concept of virtual soil pile, the pile and the underlying soil column at the bottom of the pile are considered as one-dimensional rods to establish their governing equations. Considering the soil-pile interaction and the boundary conditions, the coefficients are derived, and the analytical expressions for the friction resistance and Winkler parameters of the soil around the vertically loaded single pile are given. Based on the obtained analytical solutions, the distribution characteristics of frictional resistance and Winkler parameters of surrounding soil for friction piles and end-bearing piles with different values of pile-soil modulus ratio and pile slenderness ratio are analyzed, and the analytical expressions for the equivalent Winkler parameters of the surrounding soil of the friction and end-bearing piles are derived and the simplified fitting formulas are given.

     

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