径向非均质饱和土中楔形桩水平振动解析模型与解答

Analytical model and solution for the horizontal vibration of wedge-shaped pile embedded in radially heterogeneous saturated soil

  • 摘要: 基于Biot动力固结方程和Novak平面应变理论,考虑桩周饱和土体施工扰动效应,建立水平振动作用下径向非均质饱和土-楔形桩耦合力学模型。通过引入势函数法、Laplace变换法和分离变量法推导出桩顶水平动力阻抗的解析解,进而将推导所得解退化并与已有文献解进行对比分析,以验证其合理性。在此基础上,通过参数化分析探讨桩身参数和施工扰动效应对楔形桩水平振动特性的影响规律。研究结果表明:当桩-土系统层段数达到100后,桩顶水平动力阻抗趋于稳定;随着桩周饱和土体软化程度和范围的增大,楔形桩桩顶水平动力阻抗均减小,而楔形桩桩身水平位移和桩身弯矩均增大;通过多方面退化对比分析,验证了本文所提出分析模型及解析解答的合理性和可靠性。

     

    Abstract: Based on the Biot’s dynamic consolidation equation and Novak’s plane strain theory, a coupled mechanical model of radially heterogeneous saturated soil and wedge-shaped pile was established under the horizontal vibration, by considering the construction disturbance effect of the surrounding saturated soil. Then, the analytical solution for the horizontal impedance of the pile head was obtained by using the potential function, Laplace transformation and variable separation methods, and the accuracy of the solution was verified by degenerating with the existing literature solutions. On this basis, the effects of the pile’s parameters and construction disturbance effect on the horizontal vibration characteristics of wedge-shaped pile are further discussed by conducting an extensive parametric analysis. The results show that: The horizontal impedance of the pile head tends to be stable when the number of pile-soil system layers reaches 100. With the increase of softening degree and range of surrounding saturated soil, the horizontal impedance of the pile head decreases, while both the horizontal displacement and bending moment of pile shaft increase. The reasonableness and reliability of the analytical model and solution proposed in this paper are verified by comparative analysis in many aspects.

     

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