Mapped relationships between pier settlement and rail deformation of bridges with CRTS III SBT

  • Jiang, Lizhong (School of Civil Engineering, Central South University) ;
  • Liu, Lili (School of Civil Engineering, Central South University) ;
  • Zhou, Wangbao (School of Civil Engineering, Central South University) ;
  • Liu, Xiang (School of Civil Engineering, Central South University) ;
  • Liu, Chao (School of Civil Engineering, Central South University) ;
  • Xiang, Ping (School of Civil Engineering, Central South University)
  • Received : 2019.12.19
  • Accepted : 2020.08.08
  • Published : 2020.08.25


To study the rail mapped deformation caused by the pier settlement of simply - supported bridges with China Railway Track System III (CRTS III) slab ballastless track (SBT) system under the mode of non-longitudinal connection ballastless track slab, this study derived an analytical solution to the mapped relationships between pier settlement and rail deformation based on the interlayer interaction mechanism of rail-pier and principle of stationary potential energy. The analytical calculation results were compared with the numerical results obtained by ANSYS finite element calculation, thus verifying the accuracy of analytical method. A parameter analysis was conducted on the key factors in rail mapped deformation such as pier settlement, fastener stiffness, and self-compacting concrete (SCC) stiffness of filling layer. The results indicate that rail deformation is approximately proportional to pier settlement. The smaller the fastener stiffness, the smoother the rail deformation curve and the longer the rail deformation area is. With the increase in the stiffness of SCC filling layer, the maximum positive deformation of rail gradually decreases, and the maximum negative deformation gradually increases. The deformation of rail caused by the pier settlement of common-span bridge structures will generate low-frequency excitation on high-speed trains.


  1. Ahmari, S., Yang, M.J. and Zhong, H. (2014), "Dynamic interaction between vehicle and bridge deck subjected to support settlement", Eng. Struct., 84, 172-183.
  2. Al Shaer, A., Duhamel, D., Sab, K., Foret, G. and Schmitt, L. (2008), "Experimental settlement and dynamic behavior of a portion of ballasted railway track under high speed trains", J. Sound Vib., 316(1-5), 211-233.
  3. Biondi, B., Muscolino, G. and Sofi, A. (2005), "A substructure approach for the dynamic analysis of train-track-bridge system", Comput. Struct., 83(28-30), 2271-2281.
  4. Cai, C.S., Shi, X.M., Voyiadjis, G.Z. and Zhang, Z.J. (2005), "Structural performance of bridge approach slabs under given embankment settlement", J. Bridge Eng., 10(4), 482-489.
  5. Chen, Z.W., Zhai, W.M. and Tian, G.Y. (2018), "Study on the safe value of multi-pier settlement for simply supported girder bridges in high-speed railways", Struct. Infrastruct. E., 14(3), 400-410.
  6. Chen, Z.W., Zhai, W.M., Cai, C.B. and Sun, Y. (2015), "Safety threshold of high-speed railway pier settlement based on train-track-bridge dynamic interaction", Science China Technological Sciences., 58(2), 202-210.
  7. Domenech, A., Museros, P. and Martinez-Rodrigo, M.D. (2014), "Influence of the vehicle model on the prediction of the maximum bending response of simply - supported bridges under high-speed railway traffic", Eng. Struct., 72, 123-139.
  8. Erol, B.A. (2018), "Finite element model calibration of a steel railway bridge via ambient vibration test", Steel Compos. Struct., 3(27), 327-335.
  9. Gong, X. and Li, Z. (2016), "Bridge pier settlement prediction in high-speed railway via autoregressive model based on robust weighted total least-squares", Surv Rev., 50(359), 147-154.
  10. Gou, H.Y., Ran, Z.W., Yang, L.C., Bao, Y. and Pu, Q.H. (2019), "Mapping vertical bridge deformations to track geometry for high-speed railway", Steel Compos. Struct., 32(4), 467-478.
  11. Guan, M.S., Liu, W.T., Lai, M.H., Du, H.B., Cui, J. and Gan, Y.Y. (2019), "Seismic behaviour of innovative composite walls with high-strength manufactured sand concrete", Eng. Struct., 195, 182-199.
  12. Indraratna, B., Ngo, N.T., Rujikiatkamjorn, C. and Vinod, J.S. (2014), "Behavior of fresh and fouled railway ballast subjected to direct shear testing: Discrete element simulation", Int. J. Geomech., 14(1), 34-44.
  13. Jahangiri, M. and Zakeri, J.A. (2017), "Dynamic analysis of train-bridge system under one-way and two-way high-speed train passing", Struct. Eng., 64, 33-44. https: //
  14. Jiang, L.Z., Chai, X.L, Tan, Z.H., Zhou, W.B., Feng, Y.L., Lai, Z.P and Zheng, L. (2019), "Dynamic analyses of a simply supported double-beam system subject to a moving mass with fourier transform technique", Comput. Model. Eng. Sci., 121(1), 291-314.
  15. Jiang, L.Z., Feng, Y.L, Zhou, W.B. and He, B.B. (2019), "Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system", Steel Compos. Struct., 31(6), 591-600.
  16. Ju, S.H. (2013), "3D analysis of high-speed trains moving on bridges with foundation settlements", Arch. Appl. Mech., 83(2), 281-291.
  17. Liu, X., Xiang, P., Jiang, L.Z., Lai, Z.P., Zhou, T. and Chen, Y.J. (2019), "Stochastic Analysis of Train-bridge System Using the Karhunen-Loeve Expansion and the Point Estimate Method", Int J Struct Stab Dy.
  18. Liu, X., Jiang, L.Z., Lai, Z.P., Xiang, P. and Chen, Y.J. (2020), "Sensitivity and dynamic analysis of train-bridge coupled system with multiple random factors", Eng. Struct., 221, 111083.
  19. Lee, J.S., Choi, S., Kim, S., Kim, Y.G., Kim, S.W. and Park, C. (2012), "Waveband analysis of track irregularities in high-speed railway from on-board acceleration measurement", J. Solid Mech. Mater. Eng., 6(6), 750-759.
  20. Niu, F.J., Lin, Z.J., Lu, J.H., Liu, H. and Xu, Z.Y. (2011), "Characteristics of roadbed settlement in embankment-bridge transition section along the Qinghai-Tibet Railway in permafrost regions", Cold Reg Sci Technol, 65(3), 437-445.
  21. Paixao, A., Fortunato, E. and Calcada, R. (2015), "The effect of differential settlements on the dynamic response of the train-track system: A numerical study", Eng. Struct., 88, 216-224.
  22. Rocha, J.M., Henriques, A.A., Calcada, R. and Rönnquist, A. (2015), "Efficient methodology for the probabilistic safety assessment of high-speed railway bridges", Eng. Struct., 101, 138-149.
  23. Shan, D.S., Cui, S.G. and Huang, Z. (2013), "Coupled vibration analysis of vehicle-bridge system based on multi-boby dynamics", J. Transportation Technologies, 03(02), 1-6.
  24. Toydemir, B., Kocak, A., Sevim, B. and Zengin, B. (2017), "Ambient vibration testing and seismic performance of precast I beam bridges on a high-speed railway line", Steel Compos. Struct., 23(5), 557-570.
  25. Wang, P., Wei, K., Wang, L. and Xiao, J. (2015), "Experimental study of the frequency-domain characteristics of ground vibrations caused by a high-speed train running on non-ballasted track", Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 230(4), 1131-1144.
  26. Wang, Y.J., Wei, Q.C. and Yau, J.D. (2013), "Interaction response of train loads moving over a two-span continuous beam", Int. J. Struct. Stab. Dy., 13(1), 1350002.
  27. Xia, H., Zhang, N. and Guo, W.W. (2006), "Analysis of resonance mechanism and conditions of train-bridge system", J Sound Vib, 297(3-5), 810-822.
  28. Xiong, J.Z., Yu, H.B. and Gao, M.M. (2006), "Effect of pier and abutment non-uniform settlement on train running behavior", Computational Methods In Engineering And Science, Berlin, Heidelberg.
  29. Yan, W.J., Zhao, M.Y., Sun, Q and Ren, W.X. (2018), "Transmissibility-based system identification for structural health monitoring: fundamentals, approaches, and applications", Mech. Syst. Signal Pr.,
  30. Yang, Q., Leng, W.M., Zhang, S., Nie, R.S., Wei, L.M., Zhao, C.Y. and Liu, W.Z. (2014), "Long-term settlement prediction of high-speed railway bridge pile foundation", J. Cent. South Univ, 21(6), 2415-2424.
  31. Yang, Y.B. and Yau, J.D. (2017), "Resonance of high-speed trains moving over a series of simple or continuous beams with non-ballasted tracks", Eng. Struct., 143, 295-305.
  32. Yau, J.D. (2009), "Dynamic response analysis of suspended beams subjected to moving vehicles and multiple support excitations", J. Sound Vib., 325(4-5), 907-922.