噪声与振动控制

›› 2012, Vol. 32 ›› Issue (2): 13-17.DOI: 103969/j.issn.1006-1355-2012.02.003

• 2.振动理论与数值解法 • 上一篇    下一篇

振动沉桩系统的主共振非线性动力学分析

郑惠萍,王伟   

  1. （ 河北科技大学 机械电子工程学院， 石家庄 050018 ）
  • 收稿日期:2011-07-04 修回日期:2011-08-01 出版日期:2012-04-18 发布日期:2012-04-18
  • 通讯作者: 王伟

Nonlinear Dynamic Analysis of Primary Resonance of Vibratory Pile Driving System

ZHENG Hui-ping, WANG Wei   

  1. ( College of Mechanical and Electronic Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China )
  • Received:2011-07-04 Revised:2011-08-01 Online:2012-04-18 Published:2012-04-18
  • Contact: WANG Wei

摘要： 根据振动沉桩机理，结合土壤的非线性应力―应变关系，提出把土壤对桩的作用看作一个软式非线性弹簧和一个线性阻尼器。建立振动沉桩非线性动力学模型，利用多尺度法得到系统主共振情况下的一次近似解。选取适当的参数，分析系统稳态主共振幅频特性，并且借助Matlab确定主共振在多解频带上取稳定解的初始位移区间。最后讨论施工参数变化对主共振幅频特性的影响。研究结果对振动沉桩的现场施工具有指导作用。

关键词: 振动与波, 振动沉桩, 非线性, 多尺度法, 主共振

Abstract: According to the mechanism of vibratory pile driving and non-linear stress-strain relation of soil, a nonlinear dynamic model for vibratory pile driving was established. In this model, the action of soil to the pile was represented by a soft nonlinear spring and a linear damper. The first approximate solution of the system in primary resonance case was obtained by using the method of multiple scales. Amplitude-frequency characteristic for steady primary resonance of the system was analyzed by selecting appropriate parameters. The initial displacement intervals in which the primary resonance had stable solutions in multi-solution frequency band were determined by using Matlab. Finally, the effects of construction parameters on amplitude-frequency characteristics for the primary resonance were discussed. The results of this research provide guidelines for vibratory pile driving construction.

Key words: vibration and wave, vibratory pile driving, nonlinear, method of multiple scales, primary resonance

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