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Frontiers of Structural and Civil Engineering

Front Arch Civil Eng Chin    2009, Vol. 3 Issue (1) : 2-8     https://doi.org/10.1007/s11709-009-0001-x
RESEARCH ARTICLE |
Dynamic analysis of rail transit elevated bridge with ladder track
He XIA1(), Yushu DENG1, Yongwei ZOU1, Guido DE ROECK2, Geert DEGRANDE2
1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. Department of Civil Engineering, Catholic University of Leuven, B-3001, Heverlee, Belgium
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Abstract

In this paper, a dynamic analysis model of an elevated bridge with ladder tracks under moving train load is established. The whole process of a train running through an elevated bridge at different speeds is simulated. The dynamic responses of the elevated bridge with ladder track and the running safety and comfort index of train vehicles are evaluated. Compared with the dynamic responses of an elevated bridge with ordinary non-ballasted slab track, the ladder track’s effect on reducing the vibration of an elevated bridge is analyzed. The analysis results show that the ladder track has good vibration reduction characteristics as compared to ordinary non-ballasted track.

Keywords rail transit      elevated bridge      ladder track      dynamic response     
Corresponding Authors: XIA He,Email:hxia@bjtu.edu.cn   
Issue Date: 05 March 2009
 Cite this article:   
He XIA,Yushu DENG,Yongwei ZOU, et al. Dynamic analysis of rail transit elevated bridge with ladder track[J]. Front Arch Civil Eng Chin, 2009, 3(1): 2-8.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-009-0001-x
http://journal.hep.com.cn/fsce/EN/Y2009/V3/I1/2
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He XIA
Yushu DENG
Yongwei ZOU
Guido DE ROECK
Geert DEGRANDE
Fig.1  Elastically supported ladder track system
Fig.2  Elevated bridge with ladder track system. (a) Elevated bridge; (b) ladder track
Fig.3  Ladder track trial section of Beijing Metro Line 5
Fig.4  Illustration of track irregularities. (a) Vertical profile ; (b) alignment ; (c) alignment and gauge
itemmaximumstandard deviation
outer railvertical6.562.61
lateral-5.632.70
inner railvertical6.482.94
lateral-6.522.70
track center linevertical6.522.61
lateral5.382.30
rotation7.011.88
gauge-0.870.28
Tab.1  Maximum and standard deviation of track irregularities
Fig.5  Power spectra of lateral and vertical rail irregularities. (a) Lateral; (b) vertical
Fig.6  Load test of ladder track
Fig.7  Vibration reduction level of track under different loads. (a) Harmonic load; (b) impact load
Fig.8  Measurement point arrangement
Fig.9  Accelerometers on ladder track and beam deck
Fig.10  Measured acceleration histories of rails
Fig.11  Measured acceleration histories of beam deck
measurement pointmaximumaveragestandard deviation
railladder track159.7149.413.91
slab track270.9244.520.52
bridgeladder track1.631.400.11
slab track3.883.080.40
Tab.2  Measured rail and beam accelerations (m/s)
Fig.12  Frequency distribution of beam deck acceleration
Fig.13  Comparison of vibration reduction effects
Fig.14  Analysis model of vehicle-track-bridge system
Fig.15  Vertical displacement and acceleration histories of beam. (a) Vertical displacement histories; (b) acceleration histories
Fig.16  Vertical and lateral car-body acceleration histories of the first vehicle. (a) Vertical histories; (b) lateral car-body acceleration histories
track typeacceleration at midspan /(m/s2)displacement at mid-span /mm
verticallateralverticallateral
ladder track0.1620.3063.520.01
common track0.2830.3193.530.01
ratio L/C0.5720.9590.9971.0
Tab.3  Calculated dynamic responses of bridge span
track typederailment factor Q/Poffload factor p/plateral wheel-rail force /kNvehicle acceleration /(m·s2)
verticallateral
ladder track0.3550.29324.9740.2240.184
common track0.3550.29224.9610.2230.183
ratio L/C1.0≈1.0≈1.0≈1.0≈1.0
Tab.4  Calculated dynamic responses of vehicles
Fig.17  Vertical acceleration of bridge mid-span vs train speed
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