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| DYNAMIC RESPONSE ANALYSIS OF TRACK SYSTEM AND UNDERGROUND RAILWAY TUNNEL IN SATURATED SOIL SUBJECTED TO A MOVING TRAIN LOAD |
| YUAN Zonghao1,2,CAI Yuanqiang1,2,3,ZENG Chen1,2 |
| (1. Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China;2. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China;3. College of Architecture and Civil Engineering,Wenzhou University,Wenzhou,Zhejiang 325035,China) |
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Abstract The underground railway coupling analysis model was established and used to study the dynamic response of track systems and saturated soil. The model was divided into four parts,the moving train,floating-slab tracks,liner and saturated ground. The train load was simulated by a series of moving constant or harmonic load in accordance with the geometry of a real train. The tracks consisted of an upper Euler-Bernoulli beam to account for the rails and a lower Euler-Bernoulli beam to account for the slab. By adopting the method of 2.5D FEM,the elastic theory and the Biot’s theory were used to simulate the liner and saturated porous medium respectively. The floating-slab tracks and soil medium were coupled by the boundary conditions at the tunnel invert. The three-dimensional time-space domain dynamic response was obtained from the fast inverse Fourier transform (IFFT). Computed results show that with increasing train velocity and self-vibration frequency of the moving harmonic load,the dynamic responses of the ground surface increase obviously. The maximum ground surface responses generated by the moving constant load are located directly over the tunnel centerline with a constant space attenuation rate. The dynamic responses of ground surface induced by moving harmonic load are larger than those induced by moving constant load and become the strongest at certain distances from the tunnel centerline. The distribution of velocity spectrum for the rail and ground surface is centered on self-vibration frequency of the harmonic load.
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| [1] METRIKINE A V,VROUWENVELDER A C W M. Surface ground vibration due to a moving rain in a tunnel:two-dimensional model[J]. Journal of Sound and Vibration,2000,234(1):43–66.
[2] FORREST J A,HUNT H E M. A three dimensional tunnel model for calculation of train-induced ground vibration[J]. Journal of Sound and Vibration,2006,294(4-5):678–705.
[3] BALENDRA T,CHUA K H,LO K W,et al. Steady-state vibration of subway-soil-building system[J]. Journal of Engineering Mechanics,1989,115(1):145–162.
[4] SHENG X,JONES C J C,THOMPSON D J. Prediction of ground vibration from trains using the wavenumber finite and boundary element methods[J]. Journal of Sound and Vibration,2006,293:575–586.
[5] 刘维宁,夏 禾,郭文军. 地铁列车振动的环境响应[J]. 岩石力学与工程学报,1996,15(增刊):586–593.(LIU Weining,XIA He,GUO Wenjun. Study of vibration effects of underground trains on surrounding environments[J]. Chinese Journal of Rock Mechanics and Engineering,1996,15(S):586–593.(in Chinese))
[6] DEGRANDE G,CLOUTEAU D,OTHMAN R,et al. A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element- boundary element formulation[J]. Journal of Sound and Vibration,2006,293(3/5):645–666.
[7] HUNG H H,CHEN G H,YANG Y B. Effect of railway roughness on soil vibrations due to moving trains by 2.5 D finite/infinite element approach[J]. Engineering Structures,2013,57:254–266.
[8] HUNG H H,YANG Y B. Analysis of ground vibrations due to underground trains by 2.5D finite infinite element approach[J]. Earthquake Engineering and Engineering Vibration,2010,9(3):327–335.
[9] BIAN X C,JIN W F,JIANG H G. Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics and Engineering),2012,13(11):870–876.
[10] Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. Part I:low-frequency range[J]. Journal of the Acoustical Society of America,1956,28(2):168-178.
[11] LU J F,JENG D S. Dynamic response of a circular tunnel embedded in a saturated poroelastic medium due to a moving load[J]. Journal of Vibration and Acoustics,2006,128(6):750–756.
[12] 黄晓吉,扶名福,徐 斌. 移动环形荷载作用下饱和土中圆形衬砌隧洞动力响应研究[J]. 岩土力学,2012,33(3):892–898.(HUANG Xiaoji,FU Mingfu,XU Bin. Dynamic response of a circular lining tunnel in saturated soil due to moving ring load[J]. Rock and Soil Mechanics,2012,33(3):892–898.(in Chinese))
[13] 刘干斌,谢康和,施祖元. 黏弹性饱和多孔介质中圆柱孔洞的频域响应[J]. 力学学报,2004,36(5):557–563.(LIU Ganbin,XIE Kanghe,SHI Zuyuan. Frequency response of a cylindrical cavity in poro-viscoelastic saturated medium[J]. Acta Mechanica Sinica,2004,36(5):557–563.(in Chinese))
[14] 高广运,何俊峰,李 佳. 地铁运行引起的饱和土地基动力响应[J]. 浙江大学学报(工学版),2010,44(10):1 925–1 930.(GAO Guangyun,HE Junfeng,LI Jia. Dynamic response induced by running subway in saturated ground. Journal of Zhejiang University (Engineering Science,2010,44(10):1 925–1 930.(in Chinese))
[15] 高广运,何俊峰,杨成斌,等. 2.5维有限元分析饱和土地基列车运行引起的地面振动[J]. 岩土工程学报,2011,33(2):234–241. (GAO Guangyun,HE Junfeng,YANG Chengbin,et al. Ground vibration induced by trains moving on saturated ground using 2.5 D FEM[J]. Chinese Journal of Geothechnical Engineering,2011,33(2):234–241.(in Chinese))
[16] HUSSIEN M F M,H E M HUNT. Modelling of floating-slab tracks with continous slabs under oscillating moving loads[J]. Journal of Sound and Vibration,2006,297(1/2):37–54.
[17] HUSSIEN M F M,H E M HUNT. A numerical model for calculating vibration due to a harmonic moving load on a floating-slab track with discontinuous slabs in an underground railway tunnel[J]. Journal of Sound and Vibration,2009,321(1-2):363–374.
[18] LU J F,JENG D S. A half-space saturated poro-elastic medium subjected to a moving point load[J]. Internationl Journal of Solids and Stuctures,2007,44(2):573–586.
[19] SHI L,SUN H L,CAI Y Q,et al. Validity of fully drained,fully undrained and u-p formulations for modeling a poroelastic half-space under a moving harmonic point load[J]. Soil Dynamics and Earthquake Engineering,2012,42:292–301.
[20] 蔡袁强,王 玉,曹志刚. 移动荷载作用下饱和土地基上板式轨道动力响应[J]. 振动工程学报,2011,24(1):48–54.(CAI Yuanqiang,WANG Yun,CAO Zhigang. Dynamic response of slab track and saturated soil subjected to a moving train load[J]. Journal of Vibration Engineering,2011,24(1):48–54.(in Chinese)) |
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