Propagation of subway vertical vibration in layered soils based on thin layer method and moving coordinate system method

BAO Han-ying; CHEN Wen-hua; ZHANG Qian

doi:10.16285/j.rsm.2016.2971

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Propagation of subway vertical vibration in layered soils based on thin layer method and moving coordinate system method

更新时间：2026-06-25

- Propagation of subway vertical vibration in layered soils based on thin layer method and moving coordinate system method
- Vol. 39, Issue 9, Pages: 3277-3284(2018)
- 作者机构：
  
  北京交通大学土木建筑工程学院,北京,100044
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2016.2971
  CLC： TU435
- Online First：08 October 2018，
  
  Published：2018
- 稿件说明：
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BAO Han-ying, CHEN Wen-hua, ZHANG Qian. Propagation of subway vertical vibration in layered soils based on thin layer method and moving coordinate system method[J]. 2018, 39(9): 3277-3284.
DOI：

BAO Han-ying, CHEN Wen-hua, ZHANG Qian. Propagation of subway vertical vibration in layered soils based on thin layer method and moving coordinate system method[J]. 2018, 39(9): 3277-3284. DOI： 10.16285/j.rsm.2016.2971.

摘要

针对地铁竖向振动在成层地基中的传播，提出了移动荷载作用下层状地基的分析模型。基于该模型，利用狄拉克函数及三重傅里叶变换将时空域内单个移动简谐荷载转换为频率-波数域内的荷载，结合薄层法和移动坐标系法推导了单个移动简谐荷载和移动简谐线荷载作用下三维层状地基动力响应的解析解，并给出了移动简谐线荷载动力响应解析解中参数n的经验取值范围；分析了荷载的移动速度对层状地基动力响应的影响以及弹性模量、泊松比、阻尼比和荷载频率对土体临界速度的影响。结果表明：荷载的移动速度对不同频带的动力响应的影响范围不同；移动速度对低频响应的影响程度大于对高频响应的影响程度；相比于泊松比和阻尼比，弹性模量对土体临界速度的影响最大；频率越接近荷载振动频率的振动响应，其幅值越大，临界速度越小。

Abstract

To investigate the propagation of subway vertical vibration in layered soil

an analysis model of layered foundation under a moving load is proposed. The Dirac function and the triplex Fourier transform are used to transform a moving harmonic load in time-space domain to a load in frequency-wavenumber domain based on the analysis model. The analytical solutions of the dynamic response of 3D layered foundation under a moving harmonic load and a moving line harmonic load are deduced by using the thin layer method and the moving coordinate system method. The range of the parameter n in the analytical solution of a moving line harmonic load is given. The influence of load speed on the dynamic response of 3D layered foundation

and the influence of the elastic modulus

Poisson’s ratio

damping ratio and load frequency on the critical speed of soil are analyzed. The results show that the influence scope of the load speed on the dynamic response of different frequency bands is different. The influence of moving speed on the low frequency response is greater than that of the high frequency response

and the elastic modulus has the greatest influence on critical speed of soil compared with Poisson’s ratio and damping ratio. The dynamic response amplitude will increase and the critical speed will decrease when the frequency of the dynamic response is close to the load frequency.

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