Research PaperNo Access

Interaction Dynamic Response of a High-Speed Train Moving Over Curved Bridges with Deficient or Surplus Superelevation

Jin Shi

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China

E-mail Address: jshi@bjtu.edu.cn

Corresponding author.

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Dengke Ma

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China

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, and

Ya Gao

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China

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https://doi.org/10.1142/S0219455421501030Cited by:6 (Source: Crossref)

Abstract

This paper proposes a three-dimensional dynamic model for high-speed railway trains moving over curved bridges considering the transition curves, circular curves, and superelevation. Key features of this study are to consider the nonlinear geometrical relationships and creep relationships between the wheels and rail, for which the interactive iterative numerical algorithms are developed based on the equations of vertical displacement and rolling of wheelset, and the torsional resonance conditions of the vehicle–bridge system are verified. The results show that the torsional vibration will cause amplification on vertical dynamic response of the beam on the outside edge of the curve. The deficient/surplus superelevation plays an important role in the lateral and torsional angular displacements of the bridge, and the peak of the torsional resonance response can be reduced by adjusting the practical superelevation of the curve. The variations of wheel–load reduction rate and derailment coefficient in the curve section are positively correlated to the deficient/surplus superelevation. The curve radius is the key factor affecting the wear and fatigue of wheel–rail, and when the curve radius is greater than 7000 m, the wear and fatigue can be significantly reduced. Running at a deficient superelevation level can also reduce the wear and fatigue.

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References

1. Y. B. Yang, J. D. Yau and L. C. Hsu, Vibration of simple beams due to trains moving at high speeds, Eng. Struct. 19(11) (1997) 936–944. https://doi.org/10.1016/S0141-0296(97)00001-1 Crossref, Web of Science, Google Scholar
2. P. Museros, E. Moliner and M. D. Martinez-Rodrigo, Free vibrations of simply-supported beam bridges under moving loads: Maximum resonance, cancellation and resonant vertical acceleration, J. Sound Vib. 332(2) (2013) 326–345. https://doi.org/10.1016/j.jsv.2012.08.008 Crossref, Web of Science, Google Scholar
3. H. Xia, H. L. Li, W. W. Guo and G. De Roeck, Vibration resonance and cancellation of simply supported bridges under moving train loads, J. Eng. Mech. 140(5) (2014). https://doi.org/10.1061/(ASCE)EM.1943-7889.0000714 Crossref, Web of Science, Google Scholar
4. J. D. Yau and Y. B. Yang, Vertical accelerations of simple beams due to successive loads traveling at resonant speeds, J. Sound Vib. 289(1–2) (2006) 210–228. https://doi.org/10.1016/j.jsv.2005.02.037 Crossref, Web of Science, Google Scholar
5. N. Zhang and H. Xia, Dynamic analysis of coupled vehicle–bridge system based on inter-system iteration method, Comput. Struct. 114–115 (2013) 26–34. https://doi.org/10.1016/j.compstruc.2012.10.007 Crossref, Web of Science, Google Scholar
6. H. Li, H. Xia, M. Soliman and D. M. Frangopol, Bridge stress calculation based on the dynamic response of coupled train-bridge system, Eng. Struct. 99 (2015) 334–345. https://doi.org/10.1016/j.engstruct.2015.04.014 Crossref, Web of Science, Google Scholar
7. J. M. Olmos and M. A. Astiz, Analysis of the lateral dynamic response of high pier viaducts under high-speed train travel, Eng. Struct. 56 (2013) 1384–1401. https://doi.org/10.1016/j.engstruct.2013.07.012 Crossref, Web of Science, Google Scholar
8. W. W. Guo, H. Xia, G. De Roeck and K. Liu, Integral model for train-track-bridge interaction on the Sesia viaduct: Dynamic simulation and critical assessment, Comput. Struct. 112 (2012) 205–216. https://doi.org/10.1016/j.compstruc.2012.09.001 Crossref, Web of Science, Google Scholar
9. H. Xia, W. W. Guo, X. Wu, Y. L. Pi and M. A. Bradford, Lateral dynamic interaction analysis of a train-girder-pier system, J. Sound Vib. 318(4–5) (2008) 927–942. https://doi.org/10.1016/j.jsv.2008.05.002 Crossref, Web of Science, Google Scholar
10. H. Xia, W. W. Guo, N. Zhang and G. J. Sun, Dynamic analysis of a train–bridge system under wind action, Comput. Struct. 86(19–20) (2008) 1845–1855. https://doi.org/10.1016/j.compstruc.2008.04.007 Crossref, Web of Science, Google Scholar
11. Y. L. Xu, N. Zhang and H. Xia, Vibration of coupled train and cable-stayed bridge systems in cross winds, Eng. Struct. 26(10) (2004) 1389–1406. https://doi.org/10.1016/j.engstruct.2004.05.005 Crossref, Web of Science, Google Scholar
12. Z. Zeng, F. Liu, P. Lou, Y. Zhao and L. Peng, Formulation of three-dimensional equations of motion for train-slab track-bridge interaction system and its application to random vibration analysis, Appl. Math. Model. 40(11–12) (2016) 5891–5929. https://doi.org/10.1016/j.apm.2016.01.020 Crossref, Web of Science, Google Scholar
13. P. Antolin, N. Zhang, J. M. Goicolea, H. Xia, M. A. Astiz and J. Oliva, Consideration of nonlinear wheel–rail contact forces for dynamic vehicle–bridge interaction in high-speed railways, J. Sound Vib. 332(5) (2013) 1231–1251. https://doi.org/10.1016/j.jsv.2012.10.022 Crossref, Web of Science, Google Scholar
14. Y. B. Yang, C. M. Wu and J. D. Yau, Dynamic response of a horizontally curved beam subjected to vertical and horizontal moving loads, J. Sound Vibr. 242(3) (2001) 519–537. Crossref, Web of Science, Google Scholar
15. Q. Zeng, Y. B. Yang and E. G. Dimitrakopoulos, Dynamic response of high speed vehicles and sustaining curved bridges under conditions of resonance, Eng. Struct. 114 (2016) 61–74. https://doi.org/10.1016/j.engstruct.2016.02.006 Crossref, Web of Science, Google Scholar
16. E. G. Dimitrakopoulos and Q. Zeng, A three-dimensional dynamic analysis scheme for the interaction between trains and curved railway bridges, Comput. Struct. 149 (2015) 43–60. https://doi.org/10.1016/j.compstruc.2014.12.002 Crossref, Web of Science, Google Scholar
17. W. Zhai, K. Wang and C. Cai, Fundamentals of vehicle–track coupled dynamics, Vehicle Syst. Dyn. 47(11) (2009) 1349–1376. Crossref, Web of Science, Google Scholar
18. L. Xu, X. Chen, X. Li and X. He, Development of a railway wagon-track interaction model: Case studies on excited tracks, Mech. Syst. Sig. Pr. 100 (2018) 877–898. https://doi.org/10.1016/j.ymssp.2017.08.008 Crossref, Web of Science, Google Scholar
19. J. Shi, Y. Gao, X. Long and Y. Wang, Optimizing rail profiles to improve metro vehicle-rail dynamic performance considering worn wheel profiles and curved tracks, Struct. Multidiscip. Optim. 63 (2021) 419–438. https://doi.org/10.1007/s00158-020-02680-7 Crossref, Web of Science, Google Scholar
20. X. Li, L. Liang and D. Wang, Vibration and noise characteristics of an elevated box girder paved with different track structures, J. Sound Vib. 425 (2018) 21–40. https://doi.org/10.1016/j.jsv.2018.03.031 Crossref, Web of Science, Google Scholar
21. Z. Zhu, W. Gong, L. Wang, Y. Bai, Z. Yu and L. Zhang, Efficient assessment of 3D train-track-bridge interaction combining multi-time-step method and moving track technique, Eng. Struct. 183 (2019) 290–302. https://doi.org/10.1016/j.engstruct.2019.01.036 Crossref, Web of Science, Google Scholar
22. J. J. Kalker and J. Pootrowski, Some new results in rolling contact, Vehicle Syst. Dyn. 18(4) (1989) 223–242. https://doi.org/10.1080/00423118908968920 Crossref, Web of Science, Google Scholar
23. S. Iwnick, Manchester benchmarks for rail vehicle simulation, Vehicle Syst. Dyn. 30(3–4) (1998) 295–313. https://doi.org/10.1080/00423119808969454 Crossref, Web of Science, Google Scholar
24. Y. B. Yang, M. Li, B. Zhang, Y. Wu and J. P. Yang, Resonance and cancellation in torsional vibration of monosymmetric i-sections under moving loads, Int. J. Struct. Stab. Dy. 18(18501119) (2018). https://doi.org/10.1142/S0219455418501110 Google Scholar
25. J. D. Yau, Y. S. Wu and Y. B. Yang, Impact response of bridges with elastic bearings to moving loads, J. Sound Vib. 248(1) (2001) 9–30. https://doi.org/10.1006/jsvi.2001.3688 Crossref, Web of Science, Google Scholar
26. E. Magel and J. Kalousek, Designing and assessing wheel/rail profiles for improved rolling contact fatigue and wear performance, P. I. Mech. Eng. F.-J. Rai. 231(7) (2017) 805–818. https://doi.org/10.1177/0954409717708079 Web of Science, Google Scholar
27. A. Ekberg, E. Kabo and H. Andersson, An engineering model for prediction of rolling contact fatigue of railway wheels, Fatigue. Fract. Eng. M. 25(10) (2002) 899–909. https://doi.org/10.1046/j.1460-2695.2002.00535.x Crossref, Google Scholar