LU Chen-xu, SHI Jin, DUAN Qi-yan, WEN Jun-yi. Dynamic interaction between metro vehicle and steel spring floating slab track under emergency braking condition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(1): 96-107. doi: 10.19818/j.cnki.1671-1637.2019.01.010
Citation: LU Chen-xu, SHI Jin, DUAN Qi-yan, WEN Jun-yi. Dynamic interaction between metro vehicle and steel spring floating slab track under emergency braking condition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(1): 96-107. doi: 10.19818/j.cnki.1671-1637.2019.01.010

Dynamic interaction between metro vehicle and steel spring floating slab track under emergency braking condition

doi: 10.19818/j.cnki.1671-1637.2019.01.010
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  • Author Bio:

    LU Chen-xu(1994-), male, doctoralstudent, 1564663184@qq.com

    SHI Jin(1980-), male, professor, PhD, jshi@bjtu.edu.cn

  • Received Date: 2018-08-01
  • Publish Date: 2019-02-25
  • To optimize the design of steel spring floating slab track on the grade, based on the consideration of longitudinal wheel-rail relationship and structure characteristics of steel spring floating slab track, the dynamic interaction model of metro vehicle and steel spring floating slab track under the emergency braking condition was established through the multi-body dynamics theory and finite element method. The validity of the model was verified through the multi-body dynamics software UM. The dynamic responses of vehicle and track under the emergency braking condition were analyzed. Research result shows that the average relative errors of longitudinal acceleration of car body and longitudinal wheel-rail force calculated by the UM and the model in this paper are 1.3% and 2.8%, respectively. During the emergency braking process, the car body is always in the state of forward pitching and longitudinal vibration, resulting in the increased load in the front wheel and the decreased load in the rear wheel. Owing to the discontinuities between the slabs, a longitudinal relative dislocation occurs between the track and floating slab. The special attentions should be paid to the longitudinal uncoordinated deformation between the rail and floating slab. For the scheme of arranging a pair of isolators at the intervals of two sets of fasteners (scheme 1), the vertical displacement of rail at the end of slab is 0.2 mm larger than that at the middle of slab. For the scheme of arranging a pair of isolators at the intervals of two sets of fasteners, then arranging a pair of isolators at the intervals of three sets of fasteners (scheme 2), the vertical displacement of rail at the end of slab is 0.5 mm smaller than that at the middle of slab. Under the two layout schemes, the difference of longitudinal deformation of track is no more than 5%, and the difference of longitudinal force acting on fastener and steel spring is no more than 15%. The short wave track irregularity significantly increases the vertical vibrations of rail and floating slab, and the maximum vertical acceleration of rail can reach up to approximately 15g in the presence of track irregularity. Steel spring floating slab can reduce the vertical vibration transmitted to the bottom of the foundation, and the acceleration decreases by approximately 0.2 m·s-2. However, the low-frequency vertical vibrations of rail and floating slab amplify significantly, and the vibration increases by approximately 15 dB.

     

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  • [1]
    WANG Wei-hua, LIU Ke-fei, LI Pei-gang. Analysis of longitudinal mechanics behaviour of ballastless slab track on long grade bridge[J]. Journal of Railway Engineering Society, 2011 (2): 65-70. (in Chinese). doi: 10.3969/j.issn.1006-2106.2011.02.013
    [2]
    SHEN Bin-ran, WANG Guan, LIU Hao, et al. Analysis of girder-rail interaction under braking effect of longitudinal connected slab on bridge[J]. Railway Engineering, 2016 (3): 127-130, 146. (in Chinese). doi: 10.3969/j.issn.1003-1995.2016.03.31
    [3]
    XU Qing-yuan, ZHANG Xu-jiu. Longitudinal forces characteristic of Bogl longitudinal connected ballastless track on high-speed railway bridge[J]. Journal of Central South University (Science and Technology), 2009, 40 (2): 526-532. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD200902048.htm
    [4]
    YAN Bin, DAI Gong-lian. Analysis of interaction between continuously-welded rail and high-speed railway bridges considering loading-history[J]. Journal of the China Railway Society, 2014, 36 (6): 75-80. (in Chinese). doi: 10.3969/j.issn.1001-8360.2014.06.012
    [5]
    CAI Xiao-pei, GAO Liang, SUN Han-wu, et al. Analysis on the mechanical properties of longitudinally connected ballastless track continuously welded rail on bridge[J]. China Railway Science, 2011, 32 (6): 28-33. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201106006.htm
    [6]
    FANG Li, WANG Zhi-qiang, LI Cheng-hui. Analysis on influencing factors of braking force of CRTS Ⅱ ballastless track slab on simply-supported beam bridges[J]. Journal of the China Railway Society, 2012, 34 (1): 72-76. (in Chinese). doi: 10.3969/j.issn.1001-8360.2012.01.013
    [7]
    XU Qing-yuan, CHEN Xiu-fang, LI Shu-de. Study on the additional longitudinal forces transmission between continuously welded rails and high-speed railway bridges[J]. China Railway Science, 2006, 27 (3): 8-12. (in Chinese). doi: 10.3321/j.issn:1001-4632.2006.03.002
    [8]
    YAN Bin, DAI Gong-lian, GUO Wen-hua, et al. Longitudinal force in continuously welded rail on long-span tied arch continuous bridge carrying multiple tracks[J]. Journal of Central South University, 2015, 22 (5): 2001-2006. doi: 10.1007/s11771-015-2721-5
    [9]
    MU Dong-sheng, ZHOU Yu, HAN Yan-bin, et al. Effect of track comprehensive maintenance on geometry irregularity improvement of ballast track in high-speed railway[J]. Journal of Traffic and Transportation Engineering, 2018, 18 (5): 90-99. (in Chinese). http://transport.chd.edu.cn/article/id/201805009
    [10]
    RUGE P, BIRK C. Longitudinal forces in continuously welded rails on bridgedecks due to nonlinear track-bridge interaction[J]. Computers and Structures, 2007, 85 (7/8): 458-475.
    [11]
    DAI Gong-lian, LIU Wen-shuo. Applicability of small resistance fastener on long-span continuous bridges of high-speed railway[J]. Journal of Central South University, 2013, 20 (5): 1426-1433. doi: 10.1007/s11771-013-1631-7
    [12]
    WU Ding-jun, SHI Long, LI Qi. A double-spring model for longitudinal displacement-resistance relationship of fasteners in rail-bridge interaction analysis[J]. Engineering Mechanics, 2015, 32 (10): 75-81. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201510012.htm
    [13]
    ZHOU Yu, MU Dong-sheng, KUANG Di-feng, et al. Analysis on rail wear and crack initiation and recommendation on rail selection in urban rail transit[J]. Journal of Traffic and Transportation Engineering, 2018, 18 (4): 82-89. (in Chinese). http://transport.chd.edu.cn/article/id/201805009
    [14]
    WU Liang-qin, WU Ding-jun, LI Qi. Experiment study on braking force for urban rail transit bridge[J]. Journal of the China Railway Society, 2012, 34 (3): 88-93. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201203021.htm
    [15]
    TOTH J, RUGE P. Spectral assessment of mesh adaptations for the analysis of the dynamical longitudinal behavior of railway bridges[J]. Archive of Applied Mechanics, 2001, 71 (6/7): 453-462.
    [16]
    LI Hong-nian, ZHU Xi, JI Wen-yu. Dynamic analysis of simply supported PC beam railway bridges under braking force[J]. Journal of the China Railway Society, 2000, 22 (4): 64-67. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB200004016.htm
    [17]
    PAN Peng, LEI Xiao-yan, ZHANG Peng-fei, et al. Dynamic response analysis of ballastless track on bridge under braking load[J]. Journal of Railway Science and Engineering, 2017, 14 (11): 2309-2322. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD201711006.htm
    [18]
    ZHU Zhi-hui, YAN Ming-ming, XU Zhi-wei, et al. Response analysis of railway bridge with high piers due to vehicle braking[J]. Journal of Railway Engineering Society, 2017 (5): 52-58. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201705010.htm
    [19]
    JU S H, LIN H T. A finite element model of vehicle-bridge interaction considering braking and acceleration[J]. Journal of Sound and Vibration, 2007, 303 (1/2): 46-57.
    [20]
    CHENG Qian, ZHANG Nan, XIA He, et al. Dynamic response analysis of vehicle-track-bridge system considering braking conditions for high-speed railway[J]. China Railway Science, 2013, 34 (1): 8-14. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201301001.htm
    [21]
    SHEN Rui-li, WANG Jiang-hao. Analysis of dynamic responses of railway suspension bridge under action of train braking force[J]. Bridge Construction, 2016, 46 (6): 24-28. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-QLJS201606005.htm
    [22]
    YANG Y B, WU Y S. A versatile element for analyzing vehicle-bridge interaction response[J]. Engineering Structures, 2001, 23 (5): 452-469.
    [23]
    LYU Long, LI Jian-zhong. Study on longitudinal vibration of long-span rail-cum-road cable-stayed bridge induced by train braking and running[J]. Journal of the China Railway Society, 2017, 39 (3): 90-95. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201703015.htm
    [24]
    CHEN Shi-an, YANG Xin, YAO Ming, et al. Pole shoe abrasion calculation method of electromagnetic track brake under emergency braking condition[J]. Journal of Traffic and Transportation Engineering, 2017, 17 (1): 82-92. (in Chinese). http://transport.chd.edu.cn/article/id/201701010
    [25]
    JIANG Ji-qing, WANG Yong-an, WEI Gang, et al. Optimum analysis of vibration reduction performance for floating slab track based on shear hinge[J]. China Railway Science, 2017, 38 (4): 15-23. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201704003.htm
    [26]
    ZHAI Wan-ming, SUN Xiang. A detailed model for investigating vertical interaction between railway vehicle and track[J]. Vehicle System Dynamics, 1994, 23 (S1): 603-615.
    [27]
    YANG Jing-jing, ZHANG Nan, XIA He. Comparative analysis on applicability of four wheel-rail vertical contact models for coupling vibration of vehicle-track system[J]. China Railway Science, 2016, 37 (6): 11-20. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201606002.htm
    [28]
    ZHU Zhi-hui, WANG Li-dong, GONG Wei, et al. Comparative analysis of several types of vertical wheel/rail relationship and construction of an improved iteration model for train-track-bridge system[J]. Journal of Central South University (Science and Technology), 2017, 48 (6): 1585-1593. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201706023.htm
    [29]
    ZHANG Nan, XIA He, CHENG Qian, et al. Analysis method for a vehicle structure coupled system under braking force[J]. Journal of Vibration and Shock, 2011, 30 (2): 138-143. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201102029.htm
    [30]
    HE Yue-lei, LI Zai-wei, SHENG Chun-ling, et al. Characteristic analysis of track spectrums of different subway line conditions[J]. Journal of Railway Engineering Society, 2014 (8): 99-104. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201407019.htm
    [31]
    LI Zai-wei, LIAN Song-liang, LI Qiu-ling, et al. Characteristic analysis of track irregularity spectrum of urban rail transit[J]. Journal of East China Jiaotong University, 2011, 28 (5): 83-87. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HDJT201105019.htm
    [32]
    XU Qing-yuan. Influence of short-wave random irregularity on the dynamic characteristics of train-slab track-bridge system[J]. China Civil Engineering Journal, 2011, 44 (10): 132-137. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201110022.htm
    [33]
    LI Bin, LIU Xue-yi. Study on designed dynamic wheel loads of middle-speed and high-speed railways in China based on theory of random vibration[J]. Journal of the China Railway Society, 2010, 32 (5): 114-118. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201005027.htm

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