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Running Safety of High-Speed Railway Train on Bridge During Earthquake Considering Uncertainty Parameters of Bridge

Xiang Liu

School of Civil Engineering, Fujian University of Technology, Fuzhou 350118, P. R. China

E-mail Address: liuxiang@fjut.edu.cn

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Lizhong Jiang

School of Civil Engineering, Central South University, Changsha 410075, P. R. China

E-mail Address: lzhjiang@csu.edu.cn

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Ping Xiang

School of Civil Engineering, Central South University, Changsha 410075, P. R. China

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Yulin Feng

School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330000, P. R. China

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Zhipeng Lai

School of Civil Engineering, Central South University, Changsha 410075, P. R. China

E-mail Address: laizhipeng2016@163.com

E-mail Address: zhplai@csu.edu.cn

Corresponding author.

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, and

Wen Zhou

School of Civil Engineering, Central South University, Changsha 410075, P. R. China

China Railway Guangzhou Engineering Group Co, Guangzhou 511459, P. R. China

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https://doi.org/10.1142/S0219455422410085Cited by:14 (Source: Crossref)

This article is part of the issue:

Special Issue on Safety Assessment of High-Speed Rail Systems
Guest Editors: Quan Gu, Zhiwu Yu and Wei Guo

Abstract

China’s railway network is wide, and some of them cross the seismic zone, and the ratio of high-speed railway (HSR) bridges is high. Therefore, the safety of trains on the bridge may be endangered in the event of an earthquake. Because the response of track–bridge system is sensitive to the randomness of bridge structural parameters during the earthquake, while the train wheelset is directly in contact with the track system, the running safety of train (RST) may be also sensitive to the randomness of structural parameters. In this paper, the model of train–bridge coupled system (TBCS) under earthquake was established, and the accuracy of the model was verified by test results. To efficiently calculate the safety performance of trains considering the randomness of structural parameters, the point estimation method (PEM) was used in this paper, and the applicability of PEM was proved by comparing with the calculation results of Monte Carlo simulation (MCS). Then, PEM was used to discuss the running safety performance of trains under different ground motion (GM) intensities, different train speeds, and different pier heights. Finally, based on the maximum probability, the GM intensity threshold of a bridge based on running safety is determined.

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References

1. 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
2. Z. Lai, L. Jiang, X. Liu, Y. Zhang and W. Zhou, Analytical investigation on the geometry of longitudinal continuous track in high-speed rail corresponding to lateral bridge deformation, Constr. Build. Mater. 268 (2020) 121064. https://doi.org/10.1016/j.conbuildmat.2020.121064. Crossref, Web of Science, Google Scholar
3. Z. Lai et al., Earthquake influence on the rail irregularity on high-speed railway bridge, Shock Vib. 2020 (2020) 1–16. https://doi.org/10.1155/2020/4315304. Web of Science, Google Scholar
4. Z. Chen and W. Zhai, Theoretical method of determining pier settlement limit value for China’s high-speed railway bridges considering complete factors, Eng. Struct. 209 (2019) 109998. https://doi.org/10.1016/j.engstruct.2019.109998. Crossref, Web of Science, Google Scholar
5. Q. Zeng and E. G. Dimitrakopoulos, Vehicle–bridge interaction analysis modeling derailment during earthquakes, Nonlinear Dyn. 93(4) (2018) 2315–2337. https://doi.org/10.1007/s11071-018-4327-6. Crossref, Web of Science, Google Scholar
6. Q. Zeng, C. D. Stoura and E. G. Dimitrakopoulos, A localized lagrange multipliers approach for the problem of vehicle–bridge–interaction, Eng. Struct. 168 (2018) 82–92. https://doi.org/10.1016/j.engstruct.2018.04.040. Crossref, Web of Science, Google Scholar
7. S. G. M. Neves, P. A. Montenegro, A. F. M. Azevedo and R. Calçada, A direct method for analyzing the nonlinear vehicle–structure interaction, Eng. Struct. 69 (2014) 83–89. https://doi.org/10.1016/j.engstruct.2014.02.027. Crossref, Web of Science, Google Scholar
8. V. N. Dinh, K. D. Kim and P. Warnitchai, Dynamic analysis of three-dimensional bridge–high-speed train interactions using a wheel–rail contact model, Eng. Struct. 31(12) (2009) 3090–3106. https://doi.org/10.1016/j.engstruct.2009.08.015. Crossref, Web of Science, Google Scholar
9. J. D. Yau, M. D. Martínez-Rodrigo and A. Doménech, An equivalent additional damping approach to assess vehicle–bridge interaction for train-induced vibration of short-span railway bridges, Eng. Struct. 188 (2019) 469–479. https://doi.org/10.1016/j.engstruct.2019.01.144. Crossref, Web of Science, Google Scholar
10. Z. Chen, W. Zhai and G. Tian, Study on the safe value of multi-pier settlement for simply supported girder bridges in high-speed railways, Struct. Infrastruct. Eng. 14(3) (2018) 400–410. https://doi.org/10.1080/15732479.2017.1359189. Crossref, Web of Science, Google Scholar
11. L. Xin, X. Li, J. Zhang, Y. Zhu and L. Xiao, Resonance analysis of train–track–bridge interaction systems with correlated uncertainties, Int. J. Struct. Stab. Dyn. 20(1) (2020) 2050008. https://doi.org/10.1142/S021945542050008X. Link, Web of Science, Google Scholar
12. H. Gou, L. Yang, Z. Mo, W. Guo, X. Shi and Y. Bao, Effect of long-term bridge deformations on safe operation of high-speed railway and vibration of vehicle–bridge coupled system, Int. J. Struct. Stab. Dyn. 19(9) (2019) 1950111. https://doi.org/10.1142/S0219455419501116. Link, Web of Science, Google Scholar
13. Q. Gu, Y. Liu, W. Guo, W. Li, Z. Yu and L. Jiang, A practical wheel–rail interaction element for modeling vehicle–track–bridge systems, Int. J. Struct. Stab. Dyn. 19(2) (2019) 1950011. https://doi.org/10.1142/S0219455419500111. Link, Web of Science, Google Scholar
14. Q. Zeng and E. G. Dimitrakopoulos, Seismic response analysis of an interacting curved bridge–train system under frequent earthquakes: Seismic response analysis of an interacting curved bridge–train system under frequent earthquakes, Earthq. Eng. Struct. Dyn. 45(7) (2016) 1129–1148. https://doi.org/10.1002/eqe.2699. Crossref, Web of Science, Google Scholar
15. X. Liu, L. Jiang, P. Xiang, Z. Lai, Y. Feng and S. Cao, Dynamic response limit of high-speed railway bridge under earthquake considering running safety performance of train, J. Central South Univ. 28 (2021) 968–980. https://doi.org/10.1007/s11771-021-4657-2. Crossref, Web of Science, Google Scholar
16. W. Guo et al., Real-time hybrid simulation of high-speed train–track–bridge interactions using the moving load convolution integral method, Eng. Struct. 228 (2021) 111537. https://doi.org/10.1016/j.engstruct.2020.111537. Crossref, Web of Science, Google Scholar
17. X. T. Du, Y. L. Xu and H. Xia, Dynamic interaction of bridge–train system under non-uniform seismic ground motion, Earthq. Eng. Struct. Dyn. 41(1) (2012) 139–157. https://doi.org/10.1002/eqe.1122. Crossref, Web of Science, Google Scholar
18. H. Xia, Y. Han, N. Zhang and W. Guo, Dynamic analysis of train–bridge system subjected to non-uniform seismic excitations, Earthq. Eng. Struct. Dyn. 35(12) (2006) 1563–1579. https://doi.org/10.1002/eqe.594. Crossref, Web of Science, Google Scholar
19. J. D. Yau, Dynamic response analysis of suspended beams subjected to moving vehicles and multiple support excitations, J. Sound Vib. 325(4–5) (2009) 907–922. https://doi.org/10.1016/j.jsv.2009.04.013. Crossref, Web of Science, Google Scholar
20. Y.-B. Yang and Y.-S. Wu, Dynamic stability of trains moving over bridges shaken by earthquakes, J. Sound Vib. 258(1) (2002) 65–94. https://doi.org/10.1006/jsvi.2002.5089. Crossref, Web of Science, Google Scholar
21. P. A. Montenegro, R. Calçada, N. Vila Pouca and M. Tanabe, Running safety assessment of trains moving over bridges subjected to moderate earthquakes: Running safety of trains moving over bridges subjected to earthquakes, Earthq. Eng. Struct. Dyn. 45(3) (2016) 483–504. https://doi.org/10.1002/eqe.2673. Crossref, Web of Science, Google Scholar
22. S. Ju, A simple finite element for nonlinear wheel/rail contact and separation simulations, J. Vib. Control 20(3) (2014) 330–338. https://doi.org/10.1177/1077546312463753. Crossref, Web of Science, Google Scholar
23. S. H. Ju and S. J. Hung, Derailment of a train moving on bridge during earthquake considering soil liquefaction, Soil Dyn. Earthq. Eng. 123 (2019) 185–192. https://doi.org/10.1016/j.soildyn.2019.04.019. Crossref, Web of Science, Google Scholar
24. S. H. Ju, Improvement of bridge structures to increase the safety of moving trains during earthquakes, Eng. Struct. 56 (2013) 501–508. https://doi.org/10.1016/j.engstruct.2013.05.035. Crossref, Web of Science, Google Scholar
25. S. H. Ju, Nonlinear analysis of high-speed trains moving on bridges during earthquakes, Nonlinear Dyn. 69(1–2) (2012) 173–183. https://doi.org/10.1007/s11071-011-0254-5. Crossref, Web of Science, Google Scholar
26. Z. Jin, S. Pei, X. Li, H. Liu and S. Qiang, Effect of vertical ground motion on earthquake-induced derailment of railway vehicles over simply-supported bridges, J. Sound Vib. 383 (2016) 277–294. https://doi.org/10.1016/j.jsv.2016.06.048. Crossref, Web of Science, Google Scholar
27. Z. Jin, W. Liu, S. Pei and J. He, Probabilistic assessment of vehicle derailment based on optimal ground motion intensity measure, Veh. Syst. Dyn. 2020 (2020) 1–22. https://doi.org/10.1080/00423114.2020.1792940. Google Scholar
28. L. Jiang, J. Yu, W. Zhou, W. Yan, Z. Lai and Y. Feng, Applicability analysis of high-speed railway system under the action of near-fault ground motion, Soil Dyn. Earthq. Eng. 139 (2020) 106289. https://doi.org/10.1016/j.soildyn.2020.106289. Crossref, Web of Science, Google Scholar
29. K. Nishimura, Y. Terumichi, T. Morimura, M. Adachi, Y. Morishita and M. Miwa, Using full scale experiments to verify a simulation used to analyze the safety of rail vehicles during large earthquakes, J. Comput. Nonlinear Dyn. 10(3) (2015) 031013. https://doi.org/10.1115/1.4027756. Crossref, Web of Science, Google Scholar
30. K. Nishimura, Y. Terumichi, T. Morimura and K. Sogabe, Development of vehicle dynamics simulation for safety analyses of rail vehicles on excited tracks 4 (2007) 10. Google Scholar
31. T. Miyamoto and H. Ishida, Numerical analysis focusing on the running safety of an improved bogie during seismic vibration, Quart. Rep. RTRI 49(3) (2008) 173–177. https://doi.org/10.2219/rtriqr.49.173. Crossref, Google Scholar
32. N. Matsumoto, M. Okano, H. Okuda, H. Wakui and H. Ohuchi, New railway viaduct providing superior running safety at earthquake, Rep. Congr. IABSE 16(20) (2000) 315–322. https://doi.org/10.2749/222137900796298832. Google Scholar
33. X. Luo, Study on methodology for running safety assessment of trains in seismic design of railway structures, Soil Dyn. Earthq. Eng. 25(2) (2005) 79–91. https://doi.org/10.1016/j.soildyn.2004.10.005. Crossref, Web of Science, Google Scholar
34. X. Luo and T. Miyamoto, Method for running safety assessment of railway vehicles against structural vibration displacement during earthquakes, Quart. Rep. RTRI 48(3) (2007) 129–135. Crossref, Google Scholar
35. L. Xu and W. Zhai, Stochastic analysis model for vehicle–track coupled systems subject to earthquakes and track random irregularities, J. Sound Vib. 407 (2017) 209–225. https://doi.org/10.1016/j.jsv.2017.06.030. Crossref, Web of Science, Google Scholar
36. Z.-P. Zeng et al., Random vibration analysis of train-slab track–bridge coupling system under earthquakes, Struct. Eng. Mech. 54(5) (2015) 1017–1044. https://doi.org/10.12989/SEM.2015.54.5.1017. Crossref, Web of Science, Google Scholar
37. Z. C. Zhang, J. H. Lin, Y. H. Zhang, Y. Zhao, W. P. Howson and F. W. Williams, Non-stationary random vibration analysis for train–bridge systems subjected to horizontal earthquakes, Eng. Struct. 32(11) (2010) 3571–3582. https://doi.org/10.1016/j.engstruct.2010.08.001. Crossref, Web of Science, Google Scholar
38. Z. Zhang, Y. Zhang, J. Lin, Y. Zhao, W. P. Howson and F. W. Williams, Random vibration of a train traversing a bridge subjected to traveling seismic waves, Eng. Struct. 33(12) (2011) 3546–3558. https://doi.org/10.1016/j.engstruct.2011.07.018. Crossref, Web of Science, Google Scholar
39. L. Jiang, X. Liu, P. Xiang and W. Zhou, Train–bridge system dynamics analysis with uncertain parameters based on new point estimate method, Eng. Struct. 199 (2019) 109454. https://doi.org/10.1016/j.engstruct.2019.109454. Crossref, Web of Science, Google Scholar
40. X. Liu, L. Jiang, Z. Lai, P. Xiang and Y. Chen, Sensitivity and dynamic analysis of train–bridge coupled system with multiple random factors, Eng. Struct. 221 (2020) 111083. https://doi.org/10.1016/j.engstruct.2020.111083. Crossref, Web of Science, Google Scholar
41. X. Xiao, Y. Yan and B. Chen, Stochastic dynamic analysis for vehicle–track–bridge system based on probability density evolution method, Eng. Struct. 188 (2019) 745–761. https://doi.org/10.1016/j.engstruct.2019.02.042. Crossref, Web of Science, Google Scholar
42. L. Xin, X. Li, Y. Zhu and M. Liu, Uncertainty and sensitivity analysis for train–ballasted track–bridge system, Veh. Syst. Dyn. 58(3) (2020) 453–471. https://doi.org/10.1080/00423114.2019.1584678. Crossref, Web of Science, Google Scholar
43. X. Liu, L. Jiang, P. Xiang and Z. Lai, Probability analysis of train–bridge coupled system considering track irregularities and parameter uncertainty, Mech. Des. Struct. Mach. (2021). https://doi.org/10.1080/15397734.2021.1911665. Crossref, Web of Science, Google Scholar
44. X. Liu, P. Xiang, L. Jiang, Z. Lai, T. Zhou and Y. Chen, Stochastic analysis of train–bridge system using the karhunen–loéve expansion and the point estimate method, Int. J. Struct. Stab. Dyn. 20 (2020) 2050025. https://doi.org/10.1142/S021945542050025X. Link, Web of Science, Google Scholar
45. P. Lou and Q. Zeng, Formulation of equations of motion of finite element form for vehicle–track–bridge interaction system with two types of vehicle model, Int. J. Numer. Methods Eng. 62(3) (2005) 435–474. https://doi.org/10.1002/nme.1207. Crossref, Web of Science, Google Scholar
46. L. Xu, W. Zhai and A. Li, A coupled model for train–track–bridge stochastic analysis with consideration of spatial variation and temporal evolution, Appl. Math. Model. 63 (2018) 709–731. https://doi.org/10.1016/j.apm.2018.07.001. Crossref, Web of Science, Google Scholar
47. S. Muñoz, J. F. Aceituno, P. Urda and J. L. Escalona, Multibody model of railway vehicles with weakly coupled vertical and lateral dynamics, Mech. Syst. Signal Process. 115 (2019) 570–592. https://doi.org/10.1016/j.ymssp.2018.06.019. Crossref, Web of Science, Google Scholar
48. Y.-C. Cheng, C.-H. Chen and C.-T. Hsu, Derailment and dynamic analysis of tilting railway vehicles moving over irregular tracks under environment forces, Int. J. Struct. Stab. Dyn. 17(9) (2017) 1750098. https://doi.org/10.1142/S0219455417500985. Link, Web of Science, Google Scholar
49. Z. Y. Shen, J. K. Hedrick and J. A. Elkins, A comparison of alternative creep force models for rail vehicle dynamic analysis, Veh. Syst. Dyn. 12 (1983) 79–83. Crossref, Google Scholar
50. X. Lei and N.-A. Noda, Analyses of dynamic response of vehicle and track coupling system with random irregularity of track vertical profile, J. Sound Vib. 258(1) (2002) 147–165. https://doi.org/10.1006/jsvi.2002.5107. Crossref, Web of Science, Google Scholar
51. S. Rahman and H. Xu, A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics, Probabilistic Eng. Mech. 19(4) (2004) 393–408. Crossref, Web of Science, Google Scholar
52. M. Tanabe, N. Matsumoto, H. Wakui, M. Sogabe, H. Okuda and Y. Tanabe, A simple and efficient numerical method for dynamic interaction analysis of a high-speed train and railway structure during an earthquake, J. Comput. Nonlinear Dyn. 3(4) (2008) 041002. https://doi.org/10.1115/1.2960482. Crossref, Web of Science, Google Scholar
53. T. Miyamoto, N. Matsumoto, M. Sogabe, T. Shimomura, Y. Nishiyama and M. Matsuo, Railway vehicle dynamic behavior against large-amplitude track vibration — a full-scale experiment and numerical simulation, 45(3) (2004) 5. Google Scholar
54. J. Li, J. Chen, T. Guo, T. Liu and A. Li, Deflection reliability analysis of psc box-girder bridge under high-speed railway loads, Adv. Struct. Eng. 15(11) (2012) 2001–2012. Crossref, Web of Science, Google Scholar
55. T. Cho, M.-K. Song and D. H. Lee, Reliability analysis for the uncertainties in vehicle and high-speed railway bridge system based on an improved response surface method for nonlinear limit states, Nonlinear Dyn. 59(1–2) (2010) 1–17. https://doi.org/10.1007/s11071-009-9521-0. Crossref, Web of Science, Google Scholar
56. PEER (Pacific Earthquake Engineering Research Center), Ground motion database (2019), http://ngawest2.berkeley.edu. Google Scholar