›› 2018, Vol. 39 ›› Issue (9): 3277-3284.doi: 10.16285/j.rsm.2016.2971

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

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   

  1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
  • Received:2016-12-24 Online:2018-09-11 Published:2018-10-08
  • Supported by:

    This work was supported by the Fundamental Research Funds for the Central Universities (C17JB00300, 2017YJS122) and the National Natural Science Foundation of China (51178035).

PDF (Chinese)

292

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.

Key words: metro vibration, moving load, layered soil, critical speed, thin layer method, moving coordinate system method

CLC Number: 

  • TU 435

[1] JIANG Liu-hui, LI Chuan-xun, YANG Yi-qing, ZHANG Rui. Approximate analytical solutions for one-dimensional nonlinear consolidation of double-layered soil under time-dependent loading [J]. Rock and Soil Mechanics, 2020, 41(5): 1583-1590.
[2] LI Rui-shan, YUAN Xiao-ming. Simplified calculation method for the fundamental period of layered soil sites [J]. Rock and Soil Mechanics, 2019, 40(8): 3227-3235.
[3] ZHANG Hai-ting, YANG Lin-qing, GUO Fang, . Solution and analysis of dynamic response for rigid buried pipe in multi-layered soil based on SBFEM [J]. Rock and Soil Mechanics, 2019, 40(7): 2713-2722.
[4] XIA Chang-qing, HU An-feng, CUI Jun, Lü Wen-xiao, XIE Kang-he, . Analytical solutions for one-dimensional nonlinear consolidation of saturated soft layered soils [J]. , 2018, 39(8): 2858-2864.
[5] HAN Ze-jun, LIN Gao, ZHOU Xiao-wen, YANG Lin-qing，. Solution and analysis of dynamic stress response for transversely isotropic multilayered soil [J]. , 2018, 39(6): 2287-2294.
[6] AI Zhi-yong, ZHANG Yi-fan, WANG Lu-jun, . Extended precise integration solution for plane strain problem of transversely isotropic multilayered soils [J]. , 2018, 39(5): 1885-1890.
[7] XIONG Hui, JIANG Ya-feng, YU Rong-xia. Lateral vibration impedance of piles embedded in layered soil based on Laplace transform [J]. , 2018, 39(5): 1901-1907.
[8] ZHOU Ze-lin, CHEN Shou-gen, TU Peng, ZHANG Hai-sheng, . Coupling method for analyzing the influence on existing tunnel due to adjacent foundations pit excavation [J]. , 2018, 39(4): 1440-1449.
[9] 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.
[10] XIN Dong-dong, ZHANG Le-wen, SU Chuan-xi. Settlement research of pile groups in layered soils based on virtual soil-pile model [J]. , 2017, 38(8): 2368-2376.
[11] YUAN Zong-hao, CAI Yuan-qiang, YUAN Wan, XU Yuan-lei, CAO Zhi-gang, . Dynamic response of circular railway tunnel and track system in saturated soil under moving train loading [J]. , 2017, 38(4): 1003-1014.
[12] CHAI Hua-you, KE Wen-hui, HUANG Xiang-guo, LI Zhong-chao, LI Tian-xiang，. Analysis of propagation behavior of Rayleigh waves activated by surface sources [J]. , 2017, 38(2): 325-332.
[13] ZHANG Feng, ZHOU Feng, WANG Xu-dong,. Robust geotechnical design of a single pile under vertical loads in layered soils [J]. , 2017, 38(11): 3311-3318.
[14] AI Zhi-yong , ZHANG Yi-fan , . Interaction between strip foundation under wall and transversely isotropic layered soils [J]. , 2016, 37(5): 1243-1248.
[15] CHAI Hua-you, LI Tian-bin, ZHANG Dian-ji, CHEN Elton J.， WU Qiao-yun, CHAI Xiu-wei，. Effect of surface permeability of saturated porous media on behaviour of surface waves using thin layer method [J]. , 2016, 37(12): 3371-3379.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd