Lateral Stability Analysis of Heavy-Haul Vehicle on Curved Track Based on Wheel/Rail Coupled Dynamics

Kaiyun Wang, Pengfei Liu
DOI: 10.4236/jtts.2012.22016                

Abstract

Being viewed from the standpoint of whole system, the hunting stability of a heavy-haul railway vehicle on a curved track is investigated in this paper. First, a model to simulate dynamic performance of the heavy-haul vehicle on the elastic track is developed. Secondly, the reason of the hunting motion is analyzed, and a bifurcation diagram for the vehicle on the curved track is put forward to simulate the nonlinear critical speed. Results show that the hunting motion of the heavy-haul vehicle will appear due to the larger conicity, the initial lateral shift and the wheelset angle of attack. With the hunting motion appearing, the lateral shift and force of the wheelset are changed sharply and periodically with a wave of circa 3.6 m. There is obvious difference in the bifurcation diagram between on a curved track and on a tangent track. Relative to the centerline of the track, each vehicle body on the curved track has two stable cycles. As for the curved track with a radius of 600 m and a superelevation of 55 mm, the nonlinear critical speed of the heavy-haul vehicle is 76.4 km/h.

Keywords

Hunting; Stability; Curved Track; Heavy-Haul Railway; Coupled Dynamics

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	R. R. Huilgol, “Hopf-Friedrichs Bifurcation and the Hunting of a Railway Axle,” Quarterly Journal Application Mathematics, Vol. 36, 1978, pp. 85-94.
[2]	T. Hans and K. Petersen, “A Bifurcation Analysis of Nonlinear Oscillation in Railway Vehicles,” Proceeding of the 8th IAVSD Symposium, Cambridge, 15-19 August 1983, pp. 320-329.
[3]	K. Petersen, “Chaos in a Railway Bogie,” Acta Me- chanica, Vol. 61, No. 1-4, 1986, pp. 91-107.
[4]	R. V. Dukkipati, “Lateral Stability Analysis of a Railway Truck on Roller Rig,” Mechanism and Machine Theory, Vol. 36, No. 2, 2001, pp. 189-204. doi:10.1016/S0094-114X(00)00017-3
[5]	R. V. Dukkkipati and S. N. Swamy, “Lateral Stability and Steady State Curving Performance of Unconventional Rail Tracks,” Mechanism and Machine Theory, Vol. 36, No. 5, 2001, pp. 577-587. doi:10.1016/S0094-114X(01)00006-4
[6]	S. Y. Lee and Y. C. Cheng, “Hunting Stability Analysis of High-Speed Railway Vehicle Trucks on Tangent Tracks,” Journal of Sound and Vibration, Vol. 282, No. 3-5, 2005, pp. 881-898. doi:10.1016/j.jsv.2004.03.050
[7]	Y. C. Cheng and S. Y. Lee, “Nonlinear Analysis on Hunting Stability for High-Speed Railway Vehicle Trucks on Curved Tracks,” Journal of Vibration and Acoustics, Vol. 127, No. 4, 2005, pp. 324-332. doi:10.1115/1.1924640
[8]	S. Y. Lee and Y. C. Cheng, “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, Vol. 294, No. 3, 2006, pp. 441-453. doi:10.1016/j.jsv.2005.10.025
[9]	W. Zhai and X. Sun, “A Detailed Model for Investigating Vertical Interaction between Railway Vehicle and Track,” Vehicle System Dynamics, Vol. 23, No. 1, 1994, pp. 603- 615. doi:10.1080/00423119308969544
[10]	W. M. Zhai, K. Y. Wang and C. B. Cai, “Fundamentals of Vehicle-Track Coupled Dynamics,” Vehicle System Dynamics, Vol. 47, No. 11, 2009, pp. 1349-1376. doi:10.1080/00423110802621561
[11]	W. M. Zhai and K. Y. Wang, “Lateral Interactions of Trains and Tracks on Small-Radius Curves: Simulation and Experiment,” Vehicle System Dynamics, Vol. 44, No. 1, 2006, pp. 520-530. doi:10.1080/00423110600875260
[12]	E. C. Slivsgaard, “On the Interaction between Wheels and Rails in Railway Dynamics,” Ph.D. Dissertation, Technical University of Denmark, Copenhagen, 1995.
[13]	F. Xia, “The Dynamics of the Three-Piece-Freight-Truck,” Ph.D. Dissertation, Technical University of Denmark, Copenhagen, 2002.
[14]	G. Chen and W. M. Zhai, “A New Wheel/Rail Spatially Dynamic Coupling Model and Its Verification,” Vehicle System Dynamics, Vol. 41, No. 4, 2004, pp. 301-322. doi:10.1080/00423110412331315178
[15]	Z. Shen, J. Hedrick and J. Elkins, “A Comparison of Alternative Creep Force Models for Rail Vehicle Dynamic Analysis,” Proceeding of the 8th IAVSD Symposium, Cambridge, 15-19 August 1983, pp. 591-605.
[16]	W. M. Zhai and K. Y. Wang, “Lateral Hunting Stability of Railway Vehicles Running on Elastic Track Structures,” Journal of Computational and Nonlinear Dynamics, Transactions of the ASME, Vol. 5, No. 4, 2010, pp. 041009-1-041009-9.
[17]	K. Y. Wang and P. F. Liu, “Characteristic of Dynamic Interaction between Wheel and Rail Due to the Hunting Motion on Heavy-Haul Railway,” Engineering Mechanics, Vol. 28, No. 1, 2012, pp. 235-239.
[18]	P. B. Wu and J. Zeng, “A New Method to Determine Linear and Nonlinear Critical Speed of the Vehicle System,” Rolling and Stock, Vol. 38, No. 5, 2000, pp. 1-4.
[19]	F. T. Wang, “Vehicle System Dynamics,” China Railway Press, Beijing, 1994.
[20]	GB50090-2006, “Code for Design of Railway Line,” China Planning Press, Beijing, 2006.