XIE Kai-ze, ZHAO Wei-gang, CAI Xiao-pei, LIU Hao, ZHANG Hao. Impacts of initial internal force and geometric nonlinearity of suspension bridge on bridge-rail interaction[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 82-91. doi: 10.19818/j.cnki.1671-1637.2020.01.006
Citation: XIE Kai-ze, ZHAO Wei-gang, CAI Xiao-pei, LIU Hao, ZHANG Hao. Impacts of initial internal force and geometric nonlinearity of suspension bridge on bridge-rail interaction[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 82-91. doi: 10.19818/j.cnki.1671-1637.2020.01.006

Impacts of initial internal force and geometric nonlinearity of suspension bridge on bridge-rail interaction

doi: 10.19818/j.cnki.1671-1637.2020.01.006
More Information
  • Author Bio:

    XIE Kai-ze(1988-), male, lecturer, PhD, kzxie1988@stdu.edu.cn

  • Corresponding author: ZHAO Wei-gang(1973-), male, professor, PhD, zhaoweig2002@163.com
  • Received Date: 2019-08-26
  • Publish Date: 2020-02-25
  • Based on the theory of bridge-rail interaction, an approach to reconstruct the displacement-force curve of ballast longitudinal resistance was put forward according to the deformation of suspension bridge under the completed bridge state. A feasibility study on the reconstructing approach was conducted via two aspects of the force and deformation of continuous welded rail(CWR) on a 5×32 m simply supported beam bridge with initial deformation. With the multi-element modelling method and the U.L. formulation method, a rail-girder-hanger-cable-pylon spatial calculation model was established considering the initial internal force and geometric nonlinearity of suspension bridge. Taking a(2×84+1 092+2×84) m long-span suspension bridge as an example, the impacts of initial internal force and geometric nonlinearity of suspension bridge on the bridge-rail interaction under different working conditions were comparatively analyzed. Analysis result shows that the approach put forward to reconstruct the ballast longitudinal resistance can avoid the impact of initial deformation of bridge on the bridge-rail interaction, and make it possible to consider the effect of initial internal force on the bridge-rail interaction. The impact of main cable sag effect on the bridge-rail interaction is less than 1% under each working condition, so the factor can be neglected. The initial internal force of suspension bridge plays an important role under the bending, braking and rail breaking conditions. It can reduce the bending force, braking force and rail broken gap by 22.4%, 12.7% and 9.3%, respectively. The large displacement effect can not only change the distribution law of bending force, but also can significantly reduce the rail broken gap by 22.4%. It is suggested to consider the initial internal force and large displacement effect of suspension bridge under the bending, braking and rail breaking conditions of CWR on suspension bridges. The suspension bridge can be simplified as a continuous beam bridge with a longitudinal constraint at the mid-span and expandable beam ends at both sides under the expansion and contraction condition. The established calculation model can provide accurate simulation results for the design of CWR on suspension bridges.

     

  • loading
  • [1]
    GUO Jun-feng. The reliability of vortex vibration and flutter of a long span suspension bridge with steel box girder[D]. Chengdu: Southwest Jiaotong University, 2018. (in Chinese).
    [2]
    TANG He-qiang, XU Gong-yi, LIU Han-shun. Feasibility analysis of applying of suspension bridge type to railway bridges[J]. Bridge Construction, 2017, 47(2): 13-18. (in Chinese). doi: 10.3969/j.issn.1003-4722.2017.02.003
    [3]
    QIN Yong-gang, XIAO Jie, TU Man-ming. Comparison and selection of time schemes for applying second phase railway dead load to Wufengshan Changjiang River Bridge[J]. Bridge Construction, 2018, 48(2): 111-115. (in Chinese). doi: 10.3969/j.issn.1003-4722.2018.02.020
    [4]
    RUGE P, WIDARDA D R, SCHMALZLIN G, et al. Longitudinal track-bridge interaction due to sudden change of coupling interface[J]. Computers and Structures, 2009, 87(1/2): 47-58.
    [5]
    SMIRNOV V N, DYACHENKO A O, DYACHENKO L K, et al. The soil effect to efforts in rails of continuous welded rail track on bridges[J]. Procedia Engineering, 2017, 189: 610-615. doi: 10.1016/j.proeng.2017.05.097
    [6]
    STRAUSS A, ŜOMOSÍKOVÁ M, LEHK D, et al. Nonlinear finite element analysis of continuous welded rail-bridge interaction: monitoring-based calibration[J]. Journal of Civil Engineering and Management, 2018, 24(4): 344-354. doi: 10.3846/jcem.2018.3050
    [7]
    LIU Wen-shuo, DAI Gong-lian, HE Xu-hui. Sensitive factors research for track-bridge interaction of long-span X-style steel-box arch bridge on high-speed railway[J]. Journal of Central South University, 2013, 20(11): 3314-3323. doi: 10.1007/s11771-013-1855-6
    [8]
    CAI Cheng-biao. Calculation of additional longitudinal forces in continuously welded rails on supper-large bridges of high-speed railways[J]. Journal of Southwest Jiaotong University, 2003, 38(5): 609-614. (in Chinese). doi: 10.3969/j.issn.0258-2724.2003.05.030
    [9]
    XU Qing-yuan, ZHOU Xiao-lin, YANG Xiao-yu. Computation model of additional longitudinal forces of continuously welded rails on bridges[J]. Journal of Traffic and Transportation Engineering, 2004, 4(1): 25-28. (in Chinese). doi: 10.3321/j.issn:1671-1637.2004.01.007
    [10]
    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
    [11]
    ZHANG Peng-fei, GUI Hao, LEI Xiao-yan, et al. Deflection force and displacement of CRTS Ⅲ slab track on bridge under train load[J]. Journal of Traffic and Transportation Engineering, 2018, 18(6): 61-72. (in Chinese). doi: 10.3969/j.issn.1671-1637.2018.06.007
    [12]
    XIANG Jun, LIN Shi-cai, YU Cui-ying, et al. Transfer rules and effect of stress and deformation of ballastless track under uneven subgrade settlement[J]. Journal of Traffic and Transportation Engineering, 2019, 19(2): 69-81. (in Chinese). doi: 10.3969/j.issn.1671-1637.2019.02.007
    [13]
    XIE Kai-ze, WANG Ping, WANG Li, et al. Impact of seismic effects on rail expansion joints on bridge[J]. Journal of the China Railway Society, 2016, 38(3): 111-118. (in Chinese). doi: 10.3969/j.issn.1001-8360.2016.03.016
    [14]
    WANG Ping, XIE Kai-ze. Simplification for calculation model and method of CWR on continuous rigid frame bridge[J]. Journal of Central South University (Science and Technology), 2015, 46(7): 2735-2743. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201507048.htm
    [15]
    FLEMING J F. Nonlinear static analysis of cable-stayed bridge structures[J]. Computers and Structures, 1979, 10(4): 621-635. doi: 10.1016/0045-7949(79)90006-3
    [16]
    WANG P H, YANG C G. Parametric studies on cable-stayed bridges[J]. Computers and Structures, 1996, 60(2): 243-260. doi: 10.1016/0045-7949(95)00382-7
    [17]
    PETRANGELI M P. The Italian experience: two case studies[M]//CALCADA R, DELGADO R, MATOS A C E, et al. Track Bridge Interaction on High-Speed Railways. London: CRC Press, 2009: 139-148.
    [18]
    WANG Ping, ZHAO Wei-hua, CHEN Rong, et al. Bridge-rail interaction for continuous welded rail on cable-stayed bridge due to temperature change[J]. Advances in Structural Engineering, 2013, 16(8): 1347-1354. doi: 10.1260/1369-4332.16.8.1347
    [19]
    ZHAO Wei-hua, WANG Ping, CAO Yang. Calculation of braking force of continuous welded rail on large-span steel truss cable-stayed bridge[J]. Journal of Southwest Jiaotong University, 2012, 47(3): 361-366. (in Chinese). doi: 10.3969/j.issn.0258-2724.2012.03.002
    [20]
    WANG Ping, LIU Hao, WEI Xian-kui, et al. Analysis of longitudinal force regulation for CWR on railway cable-stayed bridge[J]. Journal of Traffic and Transportation Engineering, 2013, 13(5): 27-32. (in Chinese). doi: 10.3969/j.issn.1671-1637.2013.05.004
    [21]
    XU Hao, LIU Hao, LIN Hong-song, et al. Influence factors analysis of expansion and contraction force of continuous welded rails on long-span cable-stayed bridge[J]. Journal of Railway Engineering Society, 2015, 32(12): 34-39, 110. (in Chinese). doi: 10.3969/j.issn.1006-2106.2015.12.008
    [22]
    DAI Gong-lian, YAN Bin. Longitudinal force of continuously welded track on high-speed railway cable-stayed bridge considering impact of adjacent bridges[J]. Journal of Central South University, 2012, 19(8): 2348-2353. doi: 10.1007/s11771-012-1281-1
    [23]
    YAN Bin, DAI Gong-lian. Analysis of interaction between continuously-welded rail and high-speed railway bridge 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
    [24]
    ZHENG Peng-fei, YAN Bin, DAI Gong-lian. Rail broken gap study on continuous welded rail on cable-stayed bridge of high-speed railway[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2012, 40(9): 85-88. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HZLG201209020.htm
    [25]
    DAI Gong-lian, YAN Bin. Interaction between cable-stayed bridge traveled by high-speed trains and continuously welded rail[J]. China Civil Engineering Journal, 2013, 46(8): 90-97. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201308015.htm
    [26]
    ZHANG J, LI Q, WU D J. Nonlinear analysis of track-bridge interaction on the cable-stayed bridge[C]//FABIO B, DAN F. Maintenance, Monitoring, Safety, Risk and Resilience of Bridges and Bridge Networks. London: CRC Press, 2016: 2265-2270.
    [27]
    LI Yan. Study on variation rules of longitudinal force of continuous welded rails on long-span cable-stayed bridge[J]. Journal of Railway Engineering Society, 2012, 29(10): 42-46. (in Chinese). doi: 10.3969/j.issn.1006-2106.2012.10.009
    [28]
    CAI Xiao-pei, MIAO Qian, LI Da-cheng, et al. Mechanical analysis and arrangement study of REJ for CWR on cable-stayed bridge[J]. Journal of Railway Engineering Society, 2018, 35(1): 36-41. (in Chinese). doi: 10.3969/j.issn.1006-2106.2018.01.007
    [29]
    LI Qiao, YANG Xing-wang, BU Yi-zhi. Effect of geometric nonlinearity on deformation of extra-long-span cable-stayed bridge[J]. Journal of Southwest Jiaotong University, 2007, 42(2): 133-137. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XNJT200702001.htm
    [30]
    TIAN Qi-xian. The nonlinear structural analysis for suspension bridge[J]. Bridge Construction, 1998, 28(2): 63-66, 76. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-QLJS802.016.htm
    [31]
    YANG Da-hai. The geometric nonlinearity analysis of long-span suspension bridges[D]. Hefei: Hefei University of Technology, 2007. (in Chinese).
    [32]
    JIANG Nan, SHEN Rui-li. Influence of rise-span ratio on structural stiffness of suspension bridge[J]. China Civil Engineering Journal, 2013, 46(7): 90-97. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201307014.htm
    [33]
    NAZMYA S, ABDEL-GHAFFAR A M. Non-linear earthquake-response analysis of long-span cable-stayed bridges: application[J]. Earthquake Engineering and Structural Dynamics, 1990, 19: 63-67. doi: 10.1002/eqe.4290190107

Catalog

    Article Metrics

    Article views (1418) PDF downloads(336) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return