双参数层状地基中大直径单桩水平振动解析解与分析

Analytical analysis and solution of horizontal vibration of large diameter single pile in two-parameter layered soils

  • 摘要: 基于 Pasternak 地基和桩体 Timoshenko 梁理论,考虑了轴向作用二阶效应,建立了大直径桩?成层土相互作用体系水平振动分析简化模型,采用微分变换方法和双剪切理论,结合桩土连续边界条件,进而推导出桩身位移、内力、转角解析解,并与已有相关解析解进行退化对比验证。在此基础上,探讨了桩身长径比、地基剪切系数、桩土模量比、桩身剪切变形系数及轴向荷载对桩基水平振动特性的影响规律。计算分析结果表明推导所得对应解析解,能综合考虑轴向压力二阶效应、桩周土和桩身剪切变形的影响,可为大直径桩基工程相关水平向振动分析和设计提供参考。

     

    Abstract: A simplified model of the large-diameter pile and layered surrounding soils system is established based on Pasternak foundation and Timoshenko beam models,considering the axial second-order effect of pile shaft. The corresponding analytical solution is derived by utilizing differential transformation method and double-shear theory as well as pile-soil continuity conditions,which is reduced and verified by comparing with existing solutions. On this basis,the effects of the slenderness ratio of pile,thickness of soil layers,pile-soil modulus ratio,shear deformation coefficient of pile shaft and axial force on the horizontal vibration of the pilesoil coupled system are examined via parametric analysis. The results show that the derived solution can give an engineering guide for horizontal vibration analysis and design with respect to large-diameter single pile,which accounts for the shear deformation in?fluences of pile shaft and surrounding soils as well as the axial second-order effect.

     

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