考虑土体三维波动效应的螺纹桩纵向振动响应解析解

doi:10.16183/j.cnki.jsjtu.2024.022

摘要/Abstract

摘要：

从三维模型出发,考虑土体三维波动效应,对黏弹性地基中螺纹桩纵向振动频域特性进行研究.基于三维波动理论建立桩周土波动方程,采用Laplace变换和分离变量的方法得到桩土完全耦合条件下的螺纹桩振动响应解.结果表明:相比忽略径向位移的计算方法,考虑土体三维波动效应的解可以兼顾土体中纵波和剪切波的波动效应,精度更高.在低频范围内,螺纹桩桩长越长,动刚度和阻尼越大,侧壁受到的侧摩阻力发挥作用越显著.螺牙间距越小,桩周土对桩基的约束作用越强,桩基的竖向承载力明显提高,螺牙的存在对螺纹桩的振动有着不可忽视的影响.

关键词: 螺纹桩, 三维波动效应, 纵向振动, 解析解, 复刚度

Abstract:

By modeling the soil as a three-dimensional axisymmetric medium and considering the three-dimensional wave effects within it, a theoretical study is conducted on the frequency domain characteristics of the longitudinal vibration of threaded piles in viscoelastic foundations. Based on the three-dimensional wave theory, the wave equation of the soil surrounding the pile under axisymmetric conditions is established. The vibration response solution of the screw pile under fully coupled pile soil conditions is obtained using Laplace transformation and variable separation methods. The results show that compared to the models that neglect radial displacement, the solution incorporating the three-dimensional wave effect of soil captures both longitudinal and shear waves in the soil, offering higher accuracy. In the low-frequency range, longer screw piles exhibit greater dynamic stiffness and damping, with the lateral friction along the pile shaft playing a more prominent role. Additionally, reducing the spacing between screw threads enhances the restraining effect of the surrounding soil, significantly improving vertical bearing capacity of the pile foundation. The existence of the screw threads has a substantial influence on the vibration of the screw pile.

Key words: screw pile, three-dimensional wave effect, vertical vibration, analytical solution, complex dynamic stiffness

中图分类号:

TU470

王博宇, 胡志平, 张永辉, 殷珂, 马甲宽. 考虑土体三维波动效应的螺纹桩纵向振动响应解析解[J]. 上海交通大学学报, 2025, 59(12): 1855-1865.

WANG Boyu, HU Zhiping, ZHANG Yonghui, YIN Ke, MA Jiakuan. Analytical Solution for Vertical Vibration Response of Screw Piles Considering Three-Dimensional Wave Effect in Soil[J]. Journal of Shanghai Jiao Tong University, 2025, 59(12): 1855-1865.

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