Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect

HE Wei-jie; YANG Dong-ying; CUI Zhou-fei

doi:10.16285/j.rsm.2017.09.037

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Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect

更新时间：2026-06-25

- Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect
- Vol. 38, Issue 9, Pages: 2757-2763(2017)
- 作者机构：
  
  苏州科技大学土木工程学院,江苏,苏州,215011
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.09.037
  CLC： TU473
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
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HE Wei-jie, YANG Dong-ying, CUI Zhou-fei. Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect[J]. 2017, 38(9): 2757-2763.
DOI：

HE Wei-jie, YANG Dong-ying, CUI Zhou-fei. Comparison of theoretical and numerical solution for vertical vibration of a pile considering transverse inertia effect[J]. 2017, 38(9): 2757-2763. DOI： 10.16285/j.rsm.2017.09.037.

摘要

考虑桩身的横向惯性效应和桩端土应力扩散效应，进行了成层土桩的纵向振动研究。在桩-土模型中，将桩身等效为 Rayleigh-Love杆，桩端土对桩身的支承作用简化为扩散虚土桩模型，采用平面应变模型来描述桩与桩侧土的相互作用。结合初始条件、边界条件和连续条件，并通过积分变换法和阻抗函数递推法，得到半正弦激振脉冲作用下桩顶的动力响应理论解。建立桩-土系统的有限元模型，进行数值计算。分别利用理论解和数值解分析脉冲宽度、桩径、虚土桩桩长和桩侧土夹层等相关参数对桩顶速度时域曲线的影响，并得出了两种方法的对比结果，互相验证了所建模型的正确性。

Abstract

This study investigates the vertical vibration of pile in layered soil under transverse inertia of pile and effects of soil stress diffusion. In the model pile-soil system

Rayleigh-Love rod is applied to simulate the pile

and the soil at pile end is simplified as diffused fictitious soil pile model to reflect the supporting role of soil. Plane strain model is used to describe the interaction between the pile and soil around. Firstly

given the initial and boundary conditions

the dynamic response under half-sine exciting pulse on the pile top is obtained using integral transformation and the recursive method impedance function. A finite element model of the pile-soil system is established to carry out numerical calculation. Then the impact of related parameters

e.g.

impulse width of exciting force

pile diameter

length of fictitious soil pile

and vertical interlayers in pile side soil are analyzed by numerical solution (ANSYS/LS-DYNA) and theoretical solution respectively under various working conditions. Finally

the feasibilities of the two solutions are mutually verified.

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