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

Volumn 29, Issue 2, 2010, Pages 190-203

  Zboinski, Krzysztof ^a   Dusza, Miroslaw ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Curved track; Non linear stability; Numerical simulation; Railway vehicle dynamics

Indexed keywords

CRITICAL SPEED; CURVED TRACK; KEY ELEMENTS; LATERAL STABILITY; NON-LINEAR; NON-LINEAR STABILITIES; NONLINEAR STABILITY ANALYSIS; NUMERICAL SIMULATION; PHYSICAL NATURE; RAIL VEHICLES; RAILWAY VEHICLE DYNAMICS; SELF-EXCITING; STABILITY ANALYSIS; STABILITY MAP; TRACK ANALYSIS; WHEEL/RAIL PROFILE;

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HOPF BIFURCATION; LINEAR STABILITY ANALYSIS; LOCOMOTIVES; RAIL MOTOR CARS; RAILROADS; RAILS; VEHICLE WHEELS; VEHICLES;

VIBRATION ANALYSIS;

EID: 74449091533     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2009.10.001     Document Type: Article

References (50)

1. Dukkipati R.V. Modelling and simulation of the hunting of a three-piece railway truck on NCR curved track simulator. In: Shen Z. (Ed). Proc. 13th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1994) 105-115 Vehicle Syst. Dyn. 23(suppl.)
2. Dusza, M., 2005. Simulation Studies of Railway Vehicle Motion Stability in Curves with Regard to Influence of Changes of the System Chosen Parameters, PhD Thesis, Warsaw Technical University, Faculty of Transport, Warsaw (in Polish).
3. Elkins J.A. Prediction of wheel/rail interaction: the state-of-the-art. In: Sauvage G. (Ed). Proc. 12th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1992) 1-27 Vehicle Syst. Dyn. 20(Suppl.)
4. Gasch R., Moelle D., and Knothe K. The effect of non-linearities on the limit-cycles of railway vehicles. Swets & Zeitlinger, Lisse. In: Hedrick K. (Ed). Proc. 8th IAVSD Symposium, Cambridge, USA (1984) 207-224
5. Goodall R.M., and Iwnicki S.D. Non-linear dynamic techniques v. equivalent conicity methods for rail vehicle stability assessment. In: Abe M. (Ed). Proc. 18th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (2004) 791-799 Vehicle Syst. Dyn. 41(suppl.)
6. Hoffmann, M., 2006. Dynamics of European two-axle freight wagons, PhD Thesis, Technical University of Denmark, Informatics and Mathematical Modelling, Lyngby.
7. Hoffmann M., and True H. The dynamics of European two-axle railway freight wagons with UIC standard suspension. Proc. 20th IAVSD Symp. on the Dynamics of Vehicles on ROADS and on Tracks. Vehicle Syst. Dyn. 46 s1 (2008) 225-236
8. Huilgol R.R. Hopf-Friedrichs bifurcation and the hunting of a railway axle. Quart. J. Appl. Math. 36 (1978) 85-94
9. Jensen C.N., and True H. On the new route to chaos in railway dynamics. Nonlinear Dynam. 13 (1997) 117-129
10. Kalker J.J. A fast algorithm for the simplified theory of rolling contact. Vehicle Syst. Dyn. 11 (1982) 1-13
11. Kass-Petersen C., and True H. A bifurcation analysis of nonlinear oscillations in railway vehicles. Vehicle Syst. Dyn. 12 (1983) 2-3
12. Kass-Petersen C., and True H. A bifurcation analysis of nonlinear oscillations in railway vehicles. Vehicle Syst. Dyn. 13 (1984) 655-665
13. Kik W. Comparison of the behaviour of different wheelset-track models. In: Sauvage G. (Ed). Proc. 12th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1992) 325-339 Vehicle Syst. Dyn. 20(suppl.)
14. In: Kisilowski J., and Knothe K. (Eds). Advanced Railway Vehicle System Dynamics (1991), WNT, Warsaw
15. Knothe K., and Böhm F. History of stability of railway and road vehicles. Vehicle Syst. Dyn. 31 (1999) 283-323
16. Lee S.Y., and Cheng Y.C. Nonlinear hunting stability analysis of high-speed railway vehicles on curved tracks. Heavy Veh. Syst. 10 4 (2003) 344-361
17. Lee S.Y., and Cheng Y.C. Nonlinear analysis on hunting stability for high-speed railway vehicle truck on curved tracks. J. Vib. Acoust. Trans. ASME 127 4 (2005) 324-332
18. Lee, S.Y., Cheng, Y.C., 2006a. Hunting stability analysis of a new dynamic model of high-speed railway vehicle moving on curved tracks. In: Proc. 15th IASTED International Conference on Applied Simulation and Modelling, vol. 2006, art. 522-055, pp. 8-14.
19. Lee S.Y., and Cheng Y.C. Influences of the vertical and roll motions of frames on the hunting stability of trucks moving on curved tracks. J. Sound Vib. 294 3 (2006) 441-453
20. Lee, S.Y., Cheng, Y.C., Kuo, C.M., 2005. Non-linear modelling and analysis on the hunting stability of trucks moving on curved tracks. In: Proc. 14th IASTED International Conference on Applied Simulation and Modelling, vol. 2005, art. 469-804, pp. 422-426.
21. Moelle D., and Gasch R. Nonlinear bogie hunting. Swets & Zeitlinger, Lisse. In: Wickens A. (Ed). Proc. 7th IAVSD Symposium, Cambridge, UK (1982) 455-467
22. Osinski Z. Theory of Oscillations (1981), PWN, Warsaw (in Polish)
23. Polach O. On non-linear methods of bogie stability assessment using computer simulations. P.I. Mech. Eng. F J. Rail Rapid Transit. 220 1 (2006) 13-27
24. Schupp G. Computational bifurcation analysis of mechanical systems with applications to railway vehicles. In: Abe M. (Ed). Proc. 18th IAVSD Symp. on the Dynamics of Vehicles on ROADS and on Tracks (2004) 458-467 Vehicle Syst. Dyn. 41(suppl.)
25. Shen Z. On principles and methods to reduce the wheel/rail forces for rail freight vehicles. In: Sauvage G. (Ed). Proc. 12th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1992) 584-595 Vehicle Syst. Dyn. 20(suppl.)
26. Stichel S. Limit cycle behavior and chaotic motions of two-axle freight wagons with friction damping. Multibody Syst. Dyn. 8 (2002) 243-255
27. True H. Railway vehicle chaos and asymmetric hunting. In: Sauvage G. (Ed). Proc. 12th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1992) 625-637 Vehicle Syst. Dyn. 20(Suppl.)
28. True, H., 1994. Does a critical speed for railroad vehicles exists?. In: Proc. ASME/IEEE/AREA Joint Railroad Conference, pp. 125-131.
29. True H. On the theory of nonlinear dynamics and its applications in vehicle systems dynamics. Vehicle Syst. Dyn. 31 (1999) 393-421
30. True H. Recent advances in the fundamental understanding of railway vehicle dynamics. Int. J. Vehicle Des. 40 1/2/3 (2006) 251-264
31. True H., and Birkedal Nielsen J. On the dynamics of steady curving of railway vehicles. In: Zobory I. (Ed). Proc. 6th Mini Conference on Vehicles System Dynamics, Identification and Anomalies (1998), Technical University of Budapest 73-81
32. True H., and Jensen J.Ch. Parameter study of hunting and chaos in railway vehicle dynamics. In: Shen Z. (Ed). Proc. 13th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1994) 508-520 Vehicle Syst. Dyn. 23(suppl.)
33. True H., and Jensen J.Ch. Chaos and asymmetry in railway vehicle dynamics. Periodica Polytechnica Ser. Transp. Eng. 22 1 (1994) 55-68
34. True H., Jensen J.Ch., and Slivsgaard E. Non-linear railway dynamics and chaos. In: Zobory I. (Ed). Proc. 5th Mini Conference on Vehicles System Dynamics, Identification and Anomalies (1996), Technical University of Budapest 51-60
35. True, H., Hansen, T.G., Lundell, H., 2005. On the quasi-stationary curving dynamics of a railroad truck. In: Proc. ASME/IEEE/AREA Jt. Railroad Conference, ASME-RTD 29, pp. 131-138.
36. Verhulst F. Nonlinear Differential Equations and Dynamical Systems (1990), Springer-Verlag, Berlin, Heidelberg, New York
37. Wickens A.H. The dynamics of railway vehicles on straight track: fundamental consideration of lateral stability. P.I. Mech. Eng. F J. Rail Rapid Transit. 180 3 (1965) 1-16
38. Wickens A.H. The dynamics stability of a simplified four-wheeled vehicle having profiled wheels. Int. J. Solids Struct. 1 (1965) 385-406
39. Xu G., Steindl A., and Troger H. Nonlinear stability analysis of a bogie of a low-platform wagon. In: Sauvage G. (Ed). Proc. 12th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (1992) 653-665 Vehicle Syst. Dyn. 20(suppl.)
40. Zboinski K. Dynamical investigation of railway vehicles on a curved track. Eur. J. Mech. A Solids 17 6 (1998) 1001-1020
41. Zboinski K. Importance of imaginary forces and kinematic type non-linearities for description of railway vehicle dynamics. P.I. Mech. Eng. F J. Rail Rapid Transit. 213 3 (1999) 199-210
42. Zboinski K. Relative kinematics exploited in Kane's approach to describe multibody systems in relative motion. Acta Mech. 147 (2001) 19-34
43. Zboiński K. Numerical and traditional modelling of dynamics of multi-body system in type of a railway vehicle. Arch. Transport 16 3 (2004) 81-106
44. Zboinski, K., Dusza, M., 2002. Simulation investigation of railway vehicle dynamics in curved track. In: Proc. XV Scientific-Technological Conference Rail-Vehicles 2, pp. 343-352 (in Polish).
45. Zboinski K., and Dusza M. Analysis and method of the analysis of non-linear lateral stability of railway vehicles in curved track. In: Abe M. (Ed). Proc. 18th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (2004) 222-231 Vehicle Syst. Dyn. 41(suppl.)
46. Zboinski K., and Dusza M. On the problems with determination of railway vehicle lateral stability in curves by means of numerical simulation. Proc. 9th Mini Conference on Vehicle System Dynamics, Identification and Anomalies (2004), Budapest University of Technology and Economics, Budapest 163-170
47. Zboinski K., and Dusza M. Development of the method and analysis for non-linear lateral stability of railway vehicles in curved track. In: Bruni S., and Mastinu G. (Eds). Proc. 19th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks (2006) 147-157 Vehicle Syst. Dyn. 44(suppl.)
48. Zboiński K., and Dusza M. Bifurcation approach in studying the influence of rolling radius modelling and rail inclination on the stability of railway vehicles in a curved track. Proc. 20th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Tracks. Vehicle Syst. Dyn. 46 s1 (2008) 1023-1037
49. Zeng J., and Wu P. Stability analysis of high-speed railway vehicles. JSME Int. J. Ser. C: Mech. Syst. Mach. Elem. Manuf. 47 2 (2004) 464-470 (special issue)
50. Zeng J., and Wu P. Stability of high-speed train. J. Traffic Transport. Eng. 5 2 (2005) 1-4