考虑竖向波动效应的径向非均质黏性阻尼土中管桩纵向振动响应研究

Dynamic response of vertical vibration of pipe piles in soils with radial inhomogeneousity and viscous damping considering vertical wave effect

基于黏性阻尼土体三维轴对称模型,考虑桩周土体竖向波动效应和施工扰动引起的径向非均质性,将桩简化为等截面弹性体,通过建立管桩-土体体系纵向耦合振动简化分析模型,采用Laplace变换和复刚度传递方法,递推得出桩周、桩芯土体与桩体界面处复刚度,进而利用桩-土完全耦合条件推导得出桩顶动力阻抗解析解答,且将所得桩顶动力阻抗解答与已有相关解答进行退化验证其合理性,在此基础上,通过进一步参数化分析探讨了管桩桩长、桩内径、桩周土施工扰动程度和施工扰动范围对管桩纵向振动特性的影响规律,可为具体工程实践提供理论指导和参考作用。

Based on the three-dimensional axisymmetric model for the surrounding soils with viscous damping, a simplified mechanical model of vertical vibration for the dynamic interaction of pipe piles embedded in radially inhomogeneous viscoelastic soils is proposed accounting for the vertical wave effect of surrounding soils. The complex stiffness at the interfaces between soils and pipe piles is derived by using the Laplace transform and complex stiffness transfer method. And the analytical solutions for dynamic impedance at the pile head are obtained by using the pile-soil compatibility of piles and radially inhomogeneous surrounding soils. Furthermore, the obtained analytical solution for dynamic impedance at the pile head is also reduced to verify its validity by the comparison with the existing solutions. Finally, an extensive parametric analysis is also conducted to investigate the effects of the pile length, inner diameter, construction disturbance intensity and range on the dynamic impedance at the pile head, and it can provide reference for engineering practice.