Analysis on running safety of train on bridge with wind barriers subjected to cross wind

  • Zhang, T. (School of Civil Engineering, Beijing Jiaotong University) ;
  • Xia, H. (School of Civil Engineering, Beijing Jiaotong University) ;
  • Guo, W.W. (School of Civil Engineering, Beijing Jiaotong University)
  • Received : 2012.04.26
  • Accepted : 2012.12.01
  • Published : 2013.08.25


An analysis framework for vehicle-bridge dynamic interaction system under turbulent wind is proposed based on the relevant theory of wind engineering and dynamics. Considering the fluctuating properties of wind field, the stochastic wind velocity time history is simulated by the Auto-Regressive method in terms of power spectral density function of wind field. The bridge is represented by three-dimensional finite element model and the vehicle by a multi-rigid-body system connected by springs and dashpots. The detailed calculation formulas of unsteady aerodynamic forces on bridge and vehicle are derived. In addition, the form selection of wind barriers, which are applied as the windbreak measures of newly-built railways in northwest China, is studied based on the suggested evaluation index, and the suitable values about height and porosity rate of wind barriers are studied. By taking a multi-span simply-supported box-girder bridge as a case study, the dynamic response of the bridge and the running safety indices of the train traveling on the bridge with and without wind barriers are calculated. The limit values of train speed with respect to different wind velocities are proposed according to the allowance values in the design code.


  1. Ahmed, S.R., Gawthorpe, R.G. and Mackrodt, P.A. (1985), "Aerodynamics of road and rail vehicles", Veh. Syst. Dyn., 14(4-6), 319-392.
  2. Andersson, E., Haggstrom, J., Sima, M. and Stichel, S. (2004), "Assessment of train-overturning risk due to strong cross-winds", J. Rail. Rap. Trans., 218(3), 213-223.
  3. Baker, C.J. (1991), "Ground vehicles in high cross winds part 1: steady aerodynamic forces", J. Fluids. Struct., 5(2), 69-90.
  4. Baker, C.J. (1991), "Ground vehicles in high cross winds part 2: unsteady aerodynamic forces", J. Fluids. Struct., 5(2), 91-111.
  5. Baker, C.J. and Reynolds, S. (1992), "Wind-induced accidents of road vehicles", Accid. Anal. Prev., 24(6), 559-575.
  6. Carrarini, A. (2007), "Reliability based analysis of the crosswind stability of railway vehicles", J. Wind Eng. Ind. Aerod., 95(7), 493-509.
  7. Cheli, F., Corradi, R., Diana, G. and Tomasini, G. (2003), "A numerical-experimental approach to evaluate the aerodynamic effects on rail vehicle dynamics", Veh. Syst. Dyn., 41, 707-716.
  8. Chen, R.L., Zeng, Q.Y., Huang, Y.Q., Xiang, J., Wen, Y., Guo, X.G., Yin, C.J., Dong, H. and Zhao, G. (2010), "Analysis theory of random energy of train derailment in wind", Sci. Chin. (Phys., Mech. Astron.), 53(4), 751-757.
  9. Chen, X.Z., Matsumoto, M. and Kareem, A. (2000), "Time domain flutter and buffeting response analysis of bridges", J. Eng. Mech., 126(1), 7-16.
  10. Cooper, R.K. (1981), "The effect of cross winds on trains", J. Fluid Mech., 103(1), 170-178.
  11. Cooper, R.K. (1979), "The probability of trains overturning in high winds", Proceedings of the 5th International Conference on Wind Engineering, Fort Collins, July.
  12. Davenport, A.G. (1961), "The application of statistical concepts to the wind loading of structures", Proc. Inst. Civ. Eng., 19(2), 449-472.
  13. Diedrichs, B. (2010), "Aerodynamic crosswind stability of a regional train model", J. Rail. Rap. Tran., 224(F6), 580-591.
  14. Diedrichs, B., Sima1, M., Orellano, A. and Tengstrand, H. (2007), "Crosswind stability of a high-speed train on a high embankment", J. Rail. Rap. Tran., 221(2), 205-225.
  15. Fujii, T., Maeda, T., Ishida, H., Imai, T., Tanemoto, K. and Suzuki, M. (1999), "Wind-induced accidents of train/vehicles and their measures in Japan", Quart. Report Railway Tech. Res. Inst., 40(1), 50-55.
  16. Guo, W.W., Xu, Y.L., Xia, H., Zhang, W.S. and Shum, K.M. (2007), "Dynamic response of suspension bridge to typhoon and trains II: numerical results", J. Struct. Eng., 133(1), 12-21.
  17. Guo, Z.S., Zhu, L.D. and Zhou, Z.Y. (2009), "Optimization selection of bridge windbreak and the influence on the aerodynamic performance of bridge", Proceedings of the 14th Structural Wind Engineering Conference in China, Beijng, September. (in Chinese)
  18. Hagen, L.J., Skidmore, E.L., Miller, P.L. and Kipp, J.E. (1981), "Simulation of effect of wind barriers on airflow", Transact. ASAE, 24(4), 1002-1008.
  19. Han, Y., Chen, Z.Q. and Hua, X.G. (2010), "New estimation methodology of six complex aerodynamic admittance functions", Wind Struct., 13(3), 293-307.
  20. Heisler, G.M. and Dewalle, D.R. (1988), "Effects of windbreak structure on wind flow", Agric. Ecosystems Environ., 22/23, 41-69.
  21. Howell, J.P. (1986), "Aerodynamic response of maglev train models to a crosswind gust", J. Wind Eng. Ind. Aerod., 22(2-3), 205-213.
  22. Kim, D.H., Kwon, S.D., Lee, I.K. and Jo, B.W. (2011), "Design criteria of wind barriers for traffic. Part 2: decision making process", Wind Struct., 14(1), 71-80.
  23. Kwon, S.D., Kim, D.H., Lee, S.H. and Song, H.S. (2011), "Design criteria of wind barriers for traffic. Part 1: wind barrier performance", Wind Struct., 14(1), 55-70.
  24. Liu, Q.K., Du, Y.L. and Qiao, F.G. (2008), "Train crosswind and strong wind countermeasure research in Japan", J. Chin. Rail. Soc., 30(1), 82-88. (in Chinese)
  25. Li, X.Z. and Zhu, Y. (2010), "Stochastic space vibration analysis of a train-bridge coupling system", Interact. Multiscale Mech., 3(4), 333-342.
  26. Li, Y.L., Qiang, S.Z., Liao, H.L. and Xu, Y.L. (2005), "Dynamics of wind-rail vehicle-bridge systems", J. Wind Eng. Ind. Aerod., 93(6), 483-507.
  27. Ministry of Communications of PRC (2004), Wind resistant design specification for highway bridges JTG/T D60-01-2004, 46-47, China Communications Press, Beijing.
  28. Ministry of Railways of PRC (2010), Code for design of high-speed railway TB 10621-2009, 58-59, China Railway Publishing House, Beijing.
  29. Nikitas, N., Macdonald, J.H.G. and Jakobsen, J.B. (2011), "Identification of flutter derivatives from full-scale ambient vibration measurements of the Clifton Suspension Bridge", Wind Struct., 14(3), 221-238.
  30. Noguchi, T. and Fujii, T. (2000), "Minimizing the effect of natural disasters", Jpn. Rail. Transport Rev., 23,52-59.
  31. Orellano, A., Schober, M. and BuXmann, C. (2002), "On side-wind stability of high-speed trains", Proceedings of the 5th World Congress on Computational Mechanics, Vienna, July.
  32. Procino, L., Kozmar, H., Bartoli, G. and Borsani, A. (2008), "Wind barriers on bridges: the effect of wall porosity", Proceedings of the 6th International Colloquium on: Bluff Bodies Aerodynamics & Applications, Milano, July.
  33. Qu, W.L. and Liu, L.N. (2007), "CFD-based numerical research in the identifying of tri-component force coefficient of bridge", J. Wuhan Univ. Tech., 29(7), 85-88.
  34. Qian, Z.Y. (2009), "Strong wind disaster and control countermeasure for northwest China railways", Chin. Rail., 51(3), 1-4. (in Chinese)
  35. Saito, H., Suzuki, M. and Tanemoto, M. (2006), "Effects of wind fences on aerodynamic characteristics of train/ vehicles in cross winds", Proceedings of the 6th Asia-Pacific Conference on Wind Engineering, Seoul.
  36. Simiu, E. and Scanlan, R.H. (1978), Wind effects on structures: an introduction to wind engineering, Wiley, New York.
  37. Strukelj, A., Ciglaric, I. and Pipenbaher, M. (2005), "Analysis of a bridge structure and its wind barrier under wind loads", Struct. Eng. Int., 15(4), 220-227.
  38. Suzuki, M., Tanemoto, K. and Maeda, T. (2003), "Aerodynamic characteristics of train/vehicles under cross winds", J. Wind Eng. Ind. Aerod., 91(1), 209-218.
  39. Wetzel, C. and Proppe, C. (2008), "Crosswind stability of high-speed trains: a stochastic approach", Proceedings of the 6th International Colloquium on: Bluff Bodies Aerodynamics & Applications, Milano, July.
  40. Wilson, J.D. (1985), "Numerical studies of flow through a windbreak", J. Wind Eng. Ind. Aerod., 21(2), 119-154.
  41. Xia, H., Roeck, G.D. and Goicolea, J.M. (2011), Bridge vibration and controls: New Research, Nova Science Publishers, New York.
  42. Xiang, H.F., Ge, Y.J., Zhu, L.D., Chen A.R., Gu, M. and Xiao, R.C. (2005), Modern theory and practice on bridge wind resistance, China Communications Press, Beijing.
  43. Xu, Y.L. and Ding, Q.S. (2006), "Interaction of railway vehicles with track in cross-winds", J. Fluids. Struct., 22(3), 295-314.
  44. Zhang, T., Xia, H. and Guo, W.W. (2012), "Simulation of bridge stochastic wind field using multi-variate auto-regressive model", J. Cent. South Univ. (Sci. Tech.), 43(3), 1114-1121. (in Chinese)
  45. Zhang, W.M., Ge, Y.J. and Levitan, M.L. (2011), "Aerodynamic flutter analysis of a new suspension bridge with double main spans", Wind Struct., 14(3), 187-208.
  46. Zhang, X.J. (2011), "Investigation on the wind-induced instability of long-span suspension bridges with 3D cable system", Wind Struct., 14(3), 209-220.
  47. Zhou, Y. (2010), "Renormalization group theory for fluid and plasma turbulence", Phys. Rep., 488(1), 1-49.

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