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采用与频率相关的桩土接触面模型建立了三维轴对称条件下摩擦桩在饱和土中的竖向耦合振动模型,通过势函数分解法和分离变量法求解了饱和土动力固结方程,利用桩土耦合条件得到摩擦桩竖向振动解,对桩周剪应力分布、桩顶的频率和时域响应进行了参数研究。结果表明,桩底支承系数和桩土接触面动刚度对桩土荷载传递有明显影响,频率相关的阻尼系数可以有效地抑制桩顶速度幅频的高频发散现象。最后通过与基桩实测结果对比,表明该模型可以较好地与基桩完整性测试结果吻合。
The vertical coupling vibration model of the friction pile in saturated soil under three-dimensional axial symmetry is established by using the frequency-dependent model of pile-soil contact surface. The dynamic consolidation equation of saturated soil is solved by the potential function decomposition method and the separation variable method. Soil coupling conditions to obtain the vertical vibration solution of the friction pile, the shear stress distribution around the pile, the frequency of the top and the time domain response parameters were studied. The results show that the pile bottom bearing coefficient and the dynamic stiffness of pile-soil contact surface have a significant effect on the load transfer of pile-soil, and the frequency-dependent damping coefficient can effectively suppress the high-frequency divergence of the amplitude of pile top speed. Finally, compared with the measured results of the pile foundation, the results show that the model can be in good agreement with the pile foundation integrity test results.