上海交通大学学报

上海交通大学学报 >

2025 , Vol. 59 >Issue 12: 1855 - 1865

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2024.022

船舶海洋与建筑工程

考虑土体三维波动效应的螺纹桩纵向振动响应解析解

  • 王博宇 ,
  • 胡志平 ,
  • 张永辉 ,
  • 殷珂 ,
  • 马甲宽
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  • 长安大学 a. 建筑工程学院; b. 西安市绿色智慧交通岩土工程重点实验室,西安 710061
王博宇(1992—),博士生,主要从事岩土力学、桩基动力响应方面研究.
胡志平,教授,博士生导师,电话(Tel.):029-82337356;E-mail:huzhping@chd.edu.cn

收稿日期: 2024-01-12

  修回日期: 2024-06-19

  录用日期: 2024-08-12

  网络出版日期: 2024-08-21

基金资助

国家自然科学基金资助项目(42077248)

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Analytical Solution for Vertical Vibration Response of Screw Piles Considering Three-Dimensional Wave Effect in Soil

  • WANG Boyu ,
  • HU Zhiping ,
  • ZHANG Yonghui ,
  • YIN Ke ,
  • MA Jiakuan
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  • a. School of Civil Engineering; b. Xi’an Key Laboratory of Geotechnical Engineering for Green and Intelligent Transport, Chang’ an University, Xi’an 710061, China

Received date: 2024-01-12

  Revised date: 2024-06-19

  Accepted date: 2024-08-12

  Online published: 2024-08-21

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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

本文引用格式

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 . DOI: 10.16183/j.cnki.jsjtu.2024.022

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

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