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Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly
2016 Vol.17 No.12 P.974-988
Vertical vibration of a large diameter pile embedded in inhomogeneous soil based on the Rayleigh-Love rod theory
Abstract: The vertical vibration of a large diameter pile embedded in inhomogeneous soil with hysteretic type damping is investigated based on the 3D axisymmetric model. Firstly, the pile is assumed to be a Rayleigh-Love rod with the consideration of its transverse inertia effect. Following this assumption, the pile-soil system is divided into several segments according to the stratification of the surrounding soil, and the dynamic interactions of the adjacent soil layers are simulated using the distributed Voigt model. Meanwhile, the surrounding soil is discretized into finite annular vertical zones to consider its radial inhomogeneity, and the force equilibrium and displacement coordination are satisfied at the interfaces of the adjacent soil zones and the interface of the pile-soil. Then, the analytical solution in the frequency domain and the semi-analytical solution in the time domain are obtained by solving the vibration governing equations of pile-soil system. Based on the solutions, a parametric analysis is conducted to investigate the influence of the transverse inertia effect on the dynamic response of the large diameter pile and its relationship with the pile parameters and the radial inhomogeneity of the surrounding soil. Finally, a comparison with the measured result and two other calculated results is presented to verify the effectiveness of the present solution.
Key words: Large diameter pile, Vertical vibration, Transverse inertia effect, Rayleigh-Love rod model, Inhomogeneous soil
创新点:1. 采用Rayleigh-Love杆模型模拟大直径桩,考虑其横向惯性效应;2. 所建立的桩土相互作用模型能同时考虑土体的竖向成层性和径向非均质性。
方法:1. 采用Rayleigh-Love杆模型模拟大直径桩,建立桩土体系纵向振动控制方程(公式(1)和(4));2. 通过求解方程,得到桩顶纵向振动频域响应解析解(公式(15))和时域响应半解析解(公式(16));3. 通过参数分析的方法,研究横向惯性效应对桩顶响应的影响以及与桩身参数和桩周土径向非均质性的关系(图2~9);4. 通过与工程实例的对比,证明本文解的合理性(图11)。
结论:1. 考虑横向惯性效应时,桩底反射信号后移,导致桩的计算长度大于其实际值;2. 横向惯性效应的影响程度随着桩身半径、泊松比、桩周土软化范围和软化程度的增大而增强,随着桩身混凝土强度等级、桩周土硬化范围和硬化程度的增大而减弱;3. 考虑横向惯性效应时的计算曲线与实测曲线更为吻合。
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DOI:
10.1631/jzus.A1500341
CLC number:
TU471.3
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2016-11-10