Skip to main content
Log in

Influences of aerodynamic loads on hunting stability of high-speed railway vehicles and parameter studies

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The influences of steady aerodynamic loads on hunting stability of high-speed railway vehicles were investigated in this study. A mechanism is suggested to explain the change of hunting behavior due to actions of aerodynamic loads: the aerodynamic loads can change the position of vehicle system (consequently the contact relations), the wheel/rail normal contact forces, the gravitational restoring forces/moments and the creep forces/moments. A mathematical model for hunting stability incorporating such influences was developed. A computer program capable of incorporating the effects of aerodynamic loads based on the model was written, and the critical speeds were calculated using this program. The dependences of linear and nonlinear critical speeds on suspension parameters considering aerodynamic loads were analyzed by using the orthogonal test method, the results were also compared with the situations without aerodynamic loads. It is shown that the most dominant factors affecting linear and nonlinear critical speeds are different whether the aerodynamic loads considered or not. The damping of yaw damper is the most dominant influencing factor for linear critical speeds, while the damping of lateral damper is most dominant for nonlinear ones. When the influences of aerodynamic loads are considered, the linear critical speeds decrease with the rise of crosswind velocity, whereas it is not the case for the nonlinear critical speeds. The variation trends of critical speeds with suspension parameters can be significantly changed by aerodynamic loads. Combined actions of aerodynamic loads and suspension parameters also affect the critical speeds. The effects of such joint action are more obvious for nonlinear critical speeds.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kim, P., Jung, J., Seok, J.: A parametric dynamic study on hunting stability of full dual-bogie railway vehicle. International Journal of Precision Engineering and Manufacturing 12, 505–519 (2011)

    Article  Google Scholar 

  2. Cheng, Y.C., Lee, S.Y.: Stability analysis of high-speed railway vehicle using half-car model. International Journal of Heavy Vehicle Systems 17, 139–158 (2010)

    Article  Google Scholar 

  3. Cheng, Y.C.: Hunting stability analysis of a railway vehicle system using a novel non-linear creep model. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit (2012)

    Google Scholar 

  4. Lee, S.Y., Cheng, Y.C.: Hunting stability analysis of high-speed railway vehicle trucks on tangent tracks. Journal of Sound and Vibration 282, 881–898 (2005)

    Article  Google Scholar 

  5. Hirotsu, T., Terada K., Hiraishi M., et al.: Simulation of hunting of rail vehicles: The case using a compound circular wheel protile. JSME International Journal, Series 3, Vibration, Control Engineering, Engineering for Industry 3, 396–403 (1991)

    Article  Google Scholar 

  6. Lee, S.Y., Cheng, Y.C.: Influences of the vertical and the roll motions of frames on the hunting stability of trucks moving on curved tracks. Journal of Sound and Vibration 294, 441–453 (2006)

    Article  Google Scholar 

  7. Cheng, Y.C., Lee, S.Y., Chen, H.H.: Modeling and nonlinear hunting stability analysis of high-speed railway vehicle moving on curved tracks. Journal of Sound and Vibration 324, 139–160 (2009)

    Article  Google Scholar 

  8. Cheng, Y.C., Lee, S.Y.: Nonlinear analysis on hunting stability for high-speed railway vehicle trucks on curved tracks. Transactions of the ASME 127, 324–332 (2005)

    Google Scholar 

  9. Liu, H.Y., Zeng, J., Lu, K.W.: A study of hopf bifurcation of hunting motion for high-speed passenger cars. Engineering Mechanics 22, 224–228 (2005) (in Chinese)

    Google Scholar 

  10. Wang, F.C., Liao, M.K.: The lateral stability of train suspension systems employing inerters. Vehicle System Dynamics 48, 619–643 (2010)

    Article  Google Scholar 

  11. Dukkipati, R.V., Narayana Swamy, S.: Non-linear steady-state curving analysis of some unconventional rail trucks. Mechanism and Machine Theory 36, 507–521 (2001)

    Article  MATH  Google Scholar 

  12. Dukkipati, R.V., Narayana Swamy, S.: Lateral stability and steady state curving performance of unconventional rail trucks. Mechanism and Machine Theory 36, 577–587 (2001)

    Article  MATH  Google Scholar 

  13. True, H.: On the theory of nonlinear dynamics and its applications in vehicle systems dynamics. Vehicle System Dynamics 31, 393–421 (1999)

    Article  Google Scholar 

  14. Polach, O.: On non-linear methods of bogie stability assessment using computer simulations. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 220,13–27 (2006)

    Article  Google Scholar 

  15. True, H.: Does a critical speed for railroad vehicles exist. Proceedings of the 1994 ASME/IEEE Joint (in Conjunction with Area 1994 Annual Technical Conference). IEEE, 125–131 (1994)

    Google Scholar 

  16. True, H., Kaas-Petersen, C.: A bifurcation analysis of nonlinear oscillations in railway vehicles. Vehicle System Dynamics 12, 5–6 (1983)

    Article  Google Scholar 

  17. True, H.: Multiple attractors and critical parameters and how to find them numerically: The right, the wrong and the gambling way. Vehicle System Dynamics 51, 443–459 (2013)

    Article  Google Scholar 

  18. True, H.: Railway vehicle chaos and asymmetric hunting. Vehicle System Dynamics 20, 625–637 (1992)

    Article  Google Scholar 

  19. Jensen, J.C., True, H.: Chaos and asymmetry in railway vehicle dynamics. Transportation Engineering 22, 55–68 (1994)

    Google Scholar 

  20. Stichel, S.: Limit cycle behaviour and chaotic motions of twoaxle freight wagons with friction damping. Multibody System Dynamics 8, 243–255 (2002)

    Article  MATH  Google Scholar 

  21. True, H., Jensen, J.C.: Parameter study of hunting and chaos in railway vehicle dynamics. Vehicle System Dynamics 23, 508–521 (1994)

    Article  Google Scholar 

  22. Kim, P., Seok, J.: Bifurcation analysis on the hunting behavior of a dual-boige railway vehicle using the method of multiple scales. Journal of Sound and Vibration 329, 4017–4039 (2010)

    Article  Google Scholar 

  23. Polach, O., Kaiser, I.: Comparison of methods analyzing bifurcation and hunting of complex rail vehicle models. Journal of Computational and Nonlinear Dynamics 7, 041005 (2012)

    Article  Google Scholar 

  24. Di Gialleonardo, E., Braghin, F., Bruni, S.: The influence of track modelling options on the simulation of rail vehicle dynamics. Journal of Sound and Vibration 331, 4246–4258 (2012)

    Article  Google Scholar 

  25. Zeng, J.: Simulation of hunting bifurcation and limit cycle of railway vehicle system. Jouranl of the China Railway Society 18, 13–19 (1996) (in Chinese)

    Google Scholar 

  26. Dong, H., Zeng, J., Xie, J.H., et al.: Bifurcation/instability forms of high speed railway vehicles. Science China Technological Sciences 56, 1685–1696 (2013)

    Article  Google Scholar 

  27. Zboinski, K., Dusza, M.: Development of the method and analysis for non-linear lateral stability of railway vehicles in a curved track. Vehicle System Dynamics 44, 147–157 (2006)

    Article  Google Scholar 

  28. Zboinski, K., Dusza, M.: Bifurcation approach to the influence of rolling radius modelling and rail inclination on the stability of railway vehicles in a curved track. Vehicle System Dynamics 46, 1023–1037 (2008)

    Article  Google Scholar 

  29. Zboinski, K., Dusza, M.: Self-exciting vibrations and Hopf’s bifurcation in non-linear stability analysis of rail vehicles in a curved track. European Journal of Mechanics-A/Solids 29, 190–203 (2010)

    Article  Google Scholar 

  30. Zboinski, K., Dusza, M.: Extended study of railway vehicle lateral stability in a curved track. Vehicle Systme Dynamics 49, 789–810 (2011)

    Article  Google Scholar 

  31. Zeng, J., Wu, P.B.: Stability Analysis of High Speed Railway Vehicles. JSME International Journal, Series C 47, (2004)

  32. Baker, C.J.: The simulation of unsteady aerodynamic cross wind forces on trains. Journal of Wind Engineering and Industrial Aerodynamics 98, 88–99 (2010)

    Article  Google Scholar 

  33. Baker, C., Hemida H., Iwnicki S., et al.: Integration of crosswind forces into train dynamic modelling. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 225, 154–164 (2011)

    Article  Google Scholar 

  34. Cheng, Y.C., Chen, C.H., Yang, C.J.: Dynamics analysis of high-speed railway vehicles excited by wind loads. International Journal of Structural Stability and Dynamics 11, 1103–1118 (2011)

    Article  Google Scholar 

  35. Yu, M.G., Zhang, J.Y., Zhang, W.H.: Running attitudes of car body and wheelset for high-speed train under cross wind. Jiaotong Yunshu Gongcheng Xuebao 11, 48–55 (2011) (in Chinese)

    Google Scholar 

  36. Liu, J.L., Yu, M.G., Zhang, J.Y., et al.: Study on running safety of high-speed train under crosswind by large eddy simulation. Journal of the China Railway Society 33, 13–21 (2011) (in Chinese)

    Google Scholar 

  37. Mao, J., Xi, Y.H., Yang, G.W.: Research on influence of characteristics of cross wind field on aerodynamic performance of a high-speed train. Journal of the China Railway Society 33, 22–30 (2011) (in Chinese)

    Google Scholar 

  38. Cheli, F., Desideri, R., Diana, G., et al.: Cross wind effects on tilting trains. 7th World Congress on Railway Research (2006)

    Google Scholar 

  39. Baker, C., Cheli, F., Orellano, A., et al.: Cross-wind effects on road and rail vehicles. Vehicle system dynamics 47, 983–1022 (2009)

    Article  Google Scholar 

  40. Yu, M.G., Zhang, J.Y., Zhang, K.Y., et al.: Study on the operational safety of high-speed trains exposed to stochastic winds. Acta Mechanica Sinica 30, 351–360 (2014)

    Article  MathSciNet  Google Scholar 

  41. Zeng, X.H., Lai, J.: Hunting stability of high-speed railway vehicle considering the actions of steady aerodynamic loads. Engineering Mechanics 30, 52–58 (2013) (in Chinese)

    Google Scholar 

  42. Shen, Z.Y., Hendick, J.K., Elkins, J.A.: A comparison of alternative creep force models for rail vehicle dynamic analysis. Vehicle System Dynamic 12, 79–83 (1983)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao-Hui Zeng.

Additional information

The project was supported by the National Basic Research Program (973 Program) of China (2011CB711100 and 2014CB046801), the National Natural Science Foundation of China (11072246 and 51490673), and the Knowledge Innovation Program of Chinese Academy of Sciences (KJCX2-EW-L01).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zeng, XH., Wu, H., Lai, J. et al. Influences of aerodynamic loads on hunting stability of high-speed railway vehicles and parameter studies. Acta Mech Sin 30, 889–900 (2014). https://doi.org/10.1007/s10409-014-0119-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-014-0119-5

Keywords

Navigation