Skip to main content
SpringerLink
Log in

Dynamic response limit of high-speed railway bridge under earthquake considering running safety performance of train

考虑列车行车安全性能的地震下高速铁路桥梁动力响应限值

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Due to the wide railway network and different characteristics of many earthquake zones in China, considering the running safety performance of trains (RSPT) in the design of high-speed railway bridge structures is very necessary. In this study, in order to provide the seismic design and evaluation measure of the bridge structure based on the RSPT, a calculation model of RSPT on bridge under earthquake was established, and the track surface response measure when the derailment coefficient reaches the limit value was calculated by referring to 15 commonly used ground motion (GM) intensity measures. Based on the coefficient of variation of the limit value obtained from multiple GM samples, the optimal measures were selected. Finally, the limit value of bridge seismic response based on RSPT with different train speeds and structural periods was determined.

摘要

由于我国铁路网广、地震带多等特点, 在高速铁路桥梁结构设计中, 考虑列车运行安全性能是十分必要的。为了提供基于桥上高速列车行车安全性能的桥梁结构抗震设计和评估方法, 本文建立了地震作用下桥上高速列车行车安全的计算模型, 参考15 种常用的地震动强度指标计算脱轨系数达到极限值时的轨面响应指标。根据多个地震动样本得到指标极限值的变异系数, 并选择最优指标。最后, 根据所选的最优指标确定了不同列车速度、不同结构周期下基于列车行车安全性能的桥梁地震响应指标极限值。

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. KANG Chong-jie, SCHNEIDER S, WENNER M, MARX S. Experimental investigation on the fatigue behaviour of rails in the transverse direction [J]. Construction and Building Materials, 2021, 272: 121666. DOI: https://doi.org/10.1016/j.conbuildmat.2020.121666.

    Article  Google Scholar 

  2. KANG Chong-jie, BODE M, WENNER M, MARX S. Experimental and numerical investigations of rail behaviour under compressive force on ballastless track systems [J]. Engineering Structures, 2019, 197: 109413. DOI: https://doi.org/10.1016/j.engstruct.2019.109413.

    Article  Google Scholar 

  3. KANG Chong-jie, SCHNEIDER S, WENNER M, MARX S. Experimental investigation on rail fatigue resistance of track/bridge interaction [J]. Engineering Structures, 2020, 216: 110747. DOI: https://doi.org/10.1016/j.engstruct.2020.110747.

    Article  Google Scholar 

  4. FENG Y, JIANG L, ZHOU W, LAI Z, CHAI X. An analytical solution to the mapping relationship between bridge structures vertical deformation and rail deformation of high-speed railway [J]. Steel and Composite Structures, 2019, 33: 209–224. DOI: https://doi.org/10.12989/scs.2019.33.2.209.

    Google Scholar 

  5. SU Miao, DAI Gong-lian, PENG Hui. Bond-slip constitutive model of concrete to cement-asphalt mortar interface for slab track structure [J]. Structural Engineering and Mechanics, 2020, 74: 589–600. DOI: https://doi.org/10.12989/sem.2020.74.5.589.

    Google Scholar 

  6. LAI Zhi-peng, JIANG Li-zhong, LIU Xiang, ZHANG Yun-tai, ZHOU Wang-bao. Analytical investigation on the geometry of longitudinal continuous track in high-speed rail corresponding to lateral bridge deformation [J]. Construction and Building Materials, 2021, 268: 121064. DOI: https://doi.org/10.1016/j.conbuildmat.2020.121064.

    Article  Google Scholar 

  7. JIANG Li-zhong, FENG Yu-lin, ZHOU Wang-bao, HE Bin-bin. Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system [J]. Steel and Composite Structures, 2019, 31(6): 591–600. DOI: https://doi.org/10.12989/scs.2019.31.6.591.

    Google Scholar 

  8. LAI Zhi-peng, JIANG Li-zhong, ZHOU Wang-bao. An analytical study on dynamic response of multiple simply supported beam system subjected to moving loads [J]. Shock and Vibration, 2018: 1–14. DOI: https://doi.org/10.1155/2018/2149251.

    Google Scholar 

  9. LAI Zhi-peng, KANG Xin, JIANG Li-zhong, ZHOU Wang-bao, FENG Yu-lin, ZHANG Yun-tai, YU Jian, NIE Lei-xin. Earthquake influence on the rail irregularity on high-speed railway bridge [J]. Shock and Vibration, 2020: 1–16. DOI: https://doi.org/10.1155/2020/4315304.

  10. ZHU Y, WEI Y. Characteristics of railway damage due to wenchuan earthquake and countermeasure considerations of engineering seismic design [J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29: 3378–3386. (in Chinese)

    Google Scholar 

  11. ZENG Qing, DIMITRAKOPOULOS E G. Vehicle-bridge interaction analysis modeling derailment during earthquakes [J]. Nonlinear Dynamics, 2018, 93(4): 2315–2337. DOI: https://doi.org/10.1007/s11071-018-4327-6.

    Article  Google Scholar 

  12. GB50111-2006. Code for seismic design of railway engineering [S]. (in Chinese)

  13. GB50909-2014. Code for seismic design of urban rail transit structures [S]. (in Chinese)

  14. JU S H. A simple finite element for nonlinear wheel/rail contact and separation simulations [J]. Journal of Vibration and Control, 2014, 20(3): 330–338. DOI: https://doi.org/10.1177/1077546312463753.

    Article  Google Scholar 

  15. JU S H, HUNG S J. Derailment of a train moving on bridge during earthquake considering soil liquefaction [J]. Soil Dynamics and Earthquake Engineering, 2019, 123: 185–192. DOI: https://doi.org/10.1016/j.soildyn.2019.04.019.

    Article  Google Scholar 

  16. JU S H. Nonlinear analysis of high-speed trains moving on bridges during earthquakes [J]. Nonlinear Dynamics, 2012, 69(1, 2): 173–183. DOI: https://doi.org/10.1007/s11071-011-0254-5.

    Article  Google Scholar 

  17. YAU J D. Dynamic response analysis of suspended beams subjected to moving vehicles and multiple support excitations [J]. Journal of Sound and Vibration, 2009, 325(4, 5): 907–922. DOI: https://doi.org/10.1016/j.jsv.2009.04.013.

    Article  Google Scholar 

  18. YANG Y B, WU Y S. Dynamic stability of trains moving over bridges Shaken by earthquakes [J]. Journal of Sound and Vibration, 2002, 258(1): 65–94. DOI: https://doi.org/10.1006/jsvi.2002.5089.

    Article  Google Scholar 

  19. MONTENEGRO P A, CALÇADA R, VILA POUCA N, TANABE M. Running safety assessment of trains moving over bridges subjected to moderate earthquakes [J]. Earthquake Engineering & Structural Dynamics, 2016, 45(3): 483–504. DOI: https://doi.org/10.1002/eqe.2673.

    Article  Google Scholar 

  20. ZENG Zhi-ping, ZHAO Yan-gang, XU Wen-tao, YU Zhi-wu, CHEN Ling-kun, LOU Ping. Random vibration analysis of train-bridge under track irregularities and traveling seismic waves using train-slab track-bridge interaction model [J]. Journal of Sound and Vibration, 2015, 342: 22–43. DOI: https://doi.org/10.1016/j.jsv.2015.01.004.

    Article  Google Scholar 

  21. XU Lei, ZHAI Wan-ming. Stochastic analysis model for vehicle-track coupled systems subject to earthquakes and track random irregularities [J]. Journal of Sound and Vibration, 2017, 407: 209–225. DOI: https://doi.org/10.1016/j.jsv.2017.06.030.

    Article  Google Scholar 

  22. ZHANG Z C, LIN J H, ZHANG Y H, ZHAO Y, HOWSON W P, WILLIAMS F W. Non-stationary random vibration analysis for train-bridge systems subjected to horizontal earthquakes [J]. Engineering Structures, 2010, 32(11): 3571–3582. DOI: https://doi.org/10.1016/j.engstruct.2010.08.001.

    Article  Google Scholar 

  23. DU X T, XU Y L, XIA H. Dynamic interaction of bridge-train system under non-uniform seismic ground motion [J]. Earthquake Engineering & Structural Dynamics, 2012, 41(1): 139–157. DOI: https://doi.org/10.1002/eqe.1122.

    Article  Google Scholar 

  24. JIN Zhi-bin, PEI Shi-ling, LI Xiao-zhen, LIU Hong-yan, QIANG Shi-zhong. Effect of vertical ground motion on earthquake-induced derailment of railway vehicles over simply-supported bridges [J]. Journal of Sound and Vibration, 2016, 383: 277–294. DOI: https://doi.org/10.1016/j.jsv.2016.06.048.

    Article  Google Scholar 

  25. ZHU Zhi-hui, GONG Wei, WANG Kun, LIU Yu, DAVIDSON M T, JIANG Li-zhong. Dynamic effect of heavy-haul train on seismic response of railway cable-stayed bridge [J]. Journal of Central South University, 2020, 27(7): 1939–1955. DOI: https://doi.org/10.1007/s11771-020-4421-z.

    Article  Google Scholar 

  26. JIANG Li-zhong, YU Jian, ZHOU Wang-bao, YAN Wang-ji, LAI Zhi-peng, FENG Yu-lin. Applicability analysis of high-speed railway system under the action of near-fault ground motion [J]. Soil Dynamics and Earthquake Engineering, 2020, 139: 106289. DOI: https://doi.org/10.1016/j.soildyn.2020.106289.

    Article  Google Scholar 

  27. YU Jian, JIANG Li-zhong, ZHOU Wang-bao, LIU Xiang, LAI Zhi-peng, FENG Yu-lin. Study on the dynamic response correction factor of a coupled high-speed train-track-bridge system under near-fault earthquakes [J]. Mechanics Based Design of Structures and Machines, 2020: 1–19. DOI: https://doi.org/10.1080/15397734.2020.1803753.

  28. NISHIMURA K, TERUMICHI Y, MORIMURA T, SOGABE K. Development of vehicle dynamics simulation for safety analyses of rail vehicles on excited tracks [J]. Journal of Computational and Nonlinear Dynamics, 2009, 4(1): 011001. DOI: https://doi.org/10.1115/1.3007901.

    Article  Google Scholar 

  29. TANABE M, MATSUMOTO N, WAKUI H, SOGABE M, OKUDA H, TANABE Y. An efficient numerical method for dynamic interaction analysis of shinkansen train and railway structure during an earthquake [C]//Proceedings of ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Las Vegas, Nevada, USA, 2009: 1837–1845. DOI: https://doi.org/10.1115/DETC2007-34475.

  30. MIYAMOTO T, ISHIDA H. Numerical analysis focusing on the running safety of an improved bogie during seismic vibration [J]. Quarterly Report of RTRI, 2008, 49(3): 173–177. DOI: https://doi.org/10.2219/rtriqr.49.173.

    Article  Google Scholar 

  31. MATSUMOTO N, OKANO M, OKUDA H, WAKUI H, OHUCHI H. New railway viaduct providing superior running safety at earthquake [C]//IABSE Congress, Lucerne 2000: Structural Engineering for Meeting Urban Transportation Challenges. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2000: 315–322. DOI: https://doi.org/10.2749/222137900796298832.

    Google Scholar 

  32. NISHIMURA K, TERUMICHI Y, MORIMURA T, ADACHI M, MORISHITA Y, MIWA M. Using full scale experiments to verify a simulation used to analyze the safety of rail vehicles during large earthquakes [J]. Journal of Computational and Nonlinear Dynamics, 2015, 10(3): 031013. DOI: https://doi.org/10.1115/1.4027756.

    Article  Google Scholar 

  33. WEI Feng, ZHANG Zhi-fang, GAO Liang. Study on shaking table array test of HSR train-track-bridge system under seismic action and velocity threshold of earthquake early warning [J]. Journal of the China Railway Society, 2018, 40(3): 101–106. (in Chinese)

    Google Scholar 

  34. LUO Xiu. Study on methodology for running safety assessment of trains in seismic design of railway structures [J]. Soil Dynamics and Earthquake Engineering, 2005, 25(2): 79–91. DOI: https://doi.org/10.1016/j.soildyn.2004.10.005.

    Article  Google Scholar 

  35. LUO Xiu, MIYAMOTO T. Method for running safety assessment of railway vehicles against structural vibration displacement during earthquakes [J]. Quarterly Report of RTRI, 2007, 48(3): 129–135. DOI: https://doi.org/10.2219/rtriqr.48.129.

    Article  Google Scholar 

  36. LIU Xiang, JIANG Li-zhong, LAI Zhi-peng, XIANG Ping, CHEN Yuan-jun. Sensitivity and dynamic analysis of train-bridge coupled system with multiple random factors [J]. Engineering Structures, 2020, 221: 111083. DOI: https://doi.org/10.1016/j.engstruct.2020.111083.

    Article  Google Scholar 

  37. JIANG Li-zhong, LIU Xiang, XIANG Ping, ZHOU Wang-bao. Train-bridge system dynamics analysis with uncertain parameters based on new point estimate method [J]. Engineering Structures, 2019, 199: 109454. DOI: https://doi.org/10.1016/j.engstruct.2019.109454.

    Article  Google Scholar 

  38. LIU Xiang, XIANG Ping, JIANG Li-zhong, LAI Zhi-peng, ZHOU Tuo, CHEN Yuan-jun. Stochastic analysis of train-bridge system using the karhunen-loéve expansion and the point estimate method [J]. International Journal of Structural Stability and Dynamics, 2020, 20(2): 2050025. DOI: https://doi.org/10.1142/s021945542050025x.

  39. XU Lei, XIN Li-feng, YU Zhi-wu, ZHU Zhi-hui. Construction of a dynamic model for the interaction between the versatile tracks and a vehicle [J]. Engineering Structures, 2020, 206: 110067. DOI: https://doi.org/10.1016/j.engstruct.2019.110067.

    Article  Google Scholar 

  40. XIN Li-feng, LI Xiao-zhen, ZHU Yan, LIU Ming. Uncertainty and sensitivity analysis for train-ballasted track-bridge system [J]. Vehicle System Dynamics, 2020, 58(3): 453–471. DOI: https://doi.org/10.1080/00423114.2019.1584678.

    Article  Google Scholar 

  41. JIANG Li-zhong, LIU Xiang, ZHOU Tuo, XIANG Ping, CHEN Yuan-jun, FENG Yu-lin, LAI Zhi-peng, CAO Shan-shan. Application of KLE-PEM for random dynamic analysis of nonlinear train-track-bridge system [J]. Shock and Vibration, 2020: 1–10. DOI: https://doi.org/10.1155/2020/8886737.

  42. ZENG Q, GUO X. Theory and application of vibration analysis of train-bridge time-dependent system [M]. Beijing: China Railway Publishing House, 1999. (in Chinese)

    Google Scholar 

  43. CAO Shan-shan, JIANG Li-zhong, WEI Biao. Numerical and experimental investigations on the Park-Ang damage index for high-speed railway bridge piers with flexure failures [J]. Engineering Structures, 2019, 201: 109851. DOI: https://doi.org/10.1016/j.engstruct.2019.109851.

    Article  Google Scholar 

  44. MUÑOZ S, ACEITUNO J F, URDA P, ESCALONA J L. Multibody model of railway vehicles with weakly coupled vertical and lateral dynamics [J]. Mechanical Systems and Signal Processing, 2019, 115: 570–592. DOI: https://doi.org/10.1016/j.ymssp.2018.06.019.

    Article  Google Scholar 

  45. CHENG Y C, CHEN C H, HSU C T. Derailment and dynamic analysis of tilting railway vehicles moving over irregular tracks under environment forces [J]. International Journal of Structural Stability and Dynamics, 2017, 17(9): 1750098. DOI: https://doi.org/10.1142/s0219455417500985.

    Article  MathSciNet  Google Scholar 

  46. ZHANG Nan, XIA He. Dynamic analysis of coupled vehicle-bridge system based on inter-system iteration method [J]. Computers & Structures, 2013, 114–115: 26–34. DOI: https://doi.org/10.1016/j.compstruc.2012.10.007.

    Article  Google Scholar 

  47. ZHAI Wan-ming, XIA He, CAI Cheng-biao, GAO Mang-mang, LI Xiao-zhen, GUO Xiang-rong, ZHANG Nan, WANG Kai-yun. High-speed train-track-bridge dynamic interactions-Part I: Theoretical model and numerical simulation [J]. International Journal of Rail Transportation, 2013, 1(1, 2): 3–24. DOI: https://doi.org/10.1080/23248378.2013.791498.

    Article  Google Scholar 

  48. LEI X, NODA N A. Analyses of dynamic response of vehicle and track coupling system with random irregularity of track vertical profile [J]. Journal of Sound and Vibration, 2002, 258(1): 147–165. DOI: https://doi.org/10.1006/jsvi.2002.5107.

    Article  Google Scholar 

  49. CHEN Zhao-wei, ZHAI Wan-ming. Theoretical method of determining pier settlement limit value for China’s high-speed railway bridges considering complete factors [J]. Engineering Structures, 2020, 209: 109998. DOI: https://doi.org/10.1016/j.engstruct.2019.109998.

    Article  Google Scholar 

  50. CHEN Zhao-wei, ZHAI Wan-ming, TIAN Guo-ying. Study on the safe value of multi-pier settlement for simply supported girder bridges in high-speed railways [J]. Structure and Infrastructure Engineering, 2018, 14(3): 400–410. DOI: https://doi.org/10.1080/15732479.2017.1359189.

    Article  Google Scholar 

  51. WEI Biao, HU Zhang-liang, HE Xu-hui, JIANG Li-zhong. Evaluation of optimal ground motion intensity measures and seismic fragility analysis of a multi-pylon cable-stayed bridge with super-high piers in Mountainous Areas [J]. Soil Dynamics and Earthquake Engineering, 2020, 129: 105945. DOI: https://doi.org/10.1016/j.soildyn.2019.105945.

    Article  Google Scholar 

  52. XIA He, HAN Yan, ZHANG Nan, GUO Wei-wei. Dynamic analysis of train-bridge system subjected to non-uniform seismic excitations [J]. Earthquake Engineering & Structural Dynamics, 2006, 35(12): 1563–1579. DOI: https://doi.org/10.1002/eqe.594.

    Article  Google Scholar 

  53. GUO Jun-jun, ALAM M S, WANG Jing-quan, LI Shuai, YUAN Wan-cheng. Optimal intensity measures for probabilistic seismic demand models of a cable-stayed bridge based on generalized linear regression models [J]. Soil Dynamics and Earthquake Engineering, 2020, 131: 106024. DOI: https://doi.org/10.1016/j.soildyn.2019.106024.

    Article  Google Scholar 

  54. TONDINI N, STOJADINOVIC B. Probabilistic seismic demand model for curved reinforced concrete bridges [J]. Bulletin of Earthquake Engineering, 2012, 10(5): 1455–1479. DOI: https://doi.org/10.1007/s10518-012-9362-y.

    Article  Google Scholar 

  55. PEER (Pacific Earthquake Engineering Research Center). Ground motion database [EB/OL][2019]. http://ngawest2.berkeley.edu.

  56. GOU Hong-ye, YANG Long-cheng, MO Zhi-xiang, GUO Wei, SHI Xiao-yu, BAO Yi. Effect of long-term bridge deformations on safe operation of high-speed railway and vibration of vehicle-bridge coupled system [J]. International Journal of Structural Stability and Dynamics, 2019, 19(9): 1950111. DOI: https://doi.org/10.1142/s0219455419501116.

    Article  MathSciNet  Google Scholar 

  57. ZHAI Wan-ming, XIA He. Train-track-bridge dynamic interaction: theory and engineering application [M]. Beijing: Science Press, 2011. (in Chinese)

  58. ZHAI Wan-ming, LIU Peng-fei, LIN Jian-hui, WANG Kai-yun. Experimental investigation on vibration behaviour of a CRH train at speed of 350 km/h [J]. International Journal of Rail Transportation, 2015, 3(1): 1–16. DOI: https://doi.org/10.1080/23248378.2014.992819.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Xiang Liu  (刘祥), Li-zhong Jiang  (蒋丽忠), Ping Xiang  (向平) & Zhi-peng Lai  (赖智鹏)

  2. National Engineering Laboratory for High Speed Railway Construction, Changsha, 410075, China

    Li-zhong Jiang  (蒋丽忠), Ping Xiang  (向平) & Zhi-peng Lai  (赖智鹏)

  3. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, 330013, China

    Yu-lin Feng  (冯玉林)

  4. Guangdong Transportation Technology Testing Co., Ltd., Guangzhou, 510550, China

    Shan-shan Cao  (曹珊珊)

Authors
  1. Xiang Liu  (刘祥)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Li-zhong Jiang  (蒋丽忠)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ping Xiang  (向平)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhi-peng Lai  (赖智鹏)
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yu-lin Feng  (冯玉林)
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Shan-shan Cao  (曹珊珊)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhi-peng Lai  (赖智鹏).

Additional information

Foundation item

Projects(U1934207, 51778630, 11972379) supported by the National Natural Science Foundation of China; Project(2020zzts148) supported by the Fundamental Research Funds for the Central Universities, China; Project(GJJ200657) supported the Research Project of Jiangxi Provincial Education Department, China

Contributors

LIU Xiang written the manuscript and established the models. JIANG Li-zhong and XIANG Ping provided the concept and idea. LAI Zhi-peng established the models and calculated the results. FENG Yu-lin and CAO Shan-shan analyzed the data.

Conflict of interest

LIU Xiang, JIANG Li-zhong, XIANG Ping, LAI Zhi-peng, FENG Yu-lin and CAO Shan-shan declare that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, X., Jiang, Lz., Xiang, P. et al. Dynamic response limit of high-speed railway bridge under earthquake considering running safety performance of train. J. Cent. South Univ. 28, 968–980 (2021). https://doi.org/10.1007/s11771-021-4657-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-021-4657-2

Key words

关键词

Search

Navigation