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Complex vibration analysis of railway vehicle with tread conicity variation

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Abstract

This paper investigates the influence of tread conicity variation on hunting dynamical changing features for railway vehicle. Nonlinear contact force between wheels and rail is estimated by Vermeulen–Johnson creep force law. And a piecewise linear function is employed to appropriate the collision between wheel flange and rail. Hunting asymmetrical motions are analyzed by lateral bifurcation behaviors between maximum and minimum of car body lateral displacement. The result shows that the critical speed decreases with the increase in tread conicity, while the speed gap between linear and nonlinear speeds is narrowing. Compared with wheelsets, lateral amplitudes of the bogies are vulnerable to the tread conicity and decrease gradually. Besides, more asymmetrical motions are put into consideration with regard to tread conicity variation. Similarly, one asymmetrical behavior with small amplitude difference originates from the same chaotic attractor at both sides. And small interactive amplitude jumps in two sides at chaotic or periodic occasions are revealed. Distinguishingly, the other new asymmetrical type is found at a certain tread conicity that amplitudes of the hunting motion in positive and reverse directions no longer coincide and go away in opposite directions when the tread conicity increases to a certain value. And this particular asymmetrical motion disappears with further growth of tread conicity.

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References

  1. Kaas-Petersen, C.: Chaos in a railway bogie. Acta Mech. 61(1–4), 89–107 (1986)

    Article  MathSciNet  Google Scholar 

  2. Isaksen, P., True, H.: On the ultimate transition to chaos in the dynamics of Cooperrider’s bogie. Chaos, Solitons Fractals 8(4), 559–581 (1997)

    Article  Google Scholar 

  3. Zeng, J.: Nonlinear oscillations and chaos in a railway vehicle system. Chinese J. Mech. Eng. (English Edition) 11(3), 231–238 (1998)

    Google Scholar 

  4. Jensen, C.N., True, H.: On a new route to chaos in railway dynamics. Nonlinear Dyn. 13(2), 117–129 (1997)

    Article  Google Scholar 

  5. Knudsen, C., et al.: Dynamics of a model of a railway wheelset. Nonlinear Dyn. 6(2), 215–236 (1994)

    Article  Google Scholar 

  6. Nath, Y., Jayadev, K.: Influence of yaw stiffness on the nonlinear dynamics of railway wheelset. Commun. Nonlinear Sci. Numer. Simul. 10(2), 179–190 (2005)

    Article  Google Scholar 

  7. True, H., Trzepacz, L.: The dynamics of a railway freight wagon wheelset with dry friction damping in the suspension. Veh. Syst. Dyn. 38(2), 149–163 (2004)

    Article  Google Scholar 

  8. Knudsen, C., et al.: Bifurcations and chaos in a model of a rolling railway wheelset. Philos. Trans. R. Soc. London Ser. Math. Phys. Eng. Sci. 338(1651), 455–469 (1992)

    MATH  Google Scholar 

  9. True, H.: Railway vehicle chaos and asymmetric hunting. Veh. Syst. Dyn. 20(Suppl), 625–637 (1991)

    Google Scholar 

  10. True, H.: Dynamics of a rolling wheelset. Appl. Mech. Rev. 46(7), 438–444 (1993)

    Article  Google Scholar 

  11. Gao, X.J., et al.: Lateral bifurcation behavior of a four-axle railway passenger car. J. Appl. Mech. Trans. Asme 77(6), 061001 (2010)

    Article  Google Scholar 

  12. Gao, X.J., et al.: The “resultant bifurcation diagram” method and its application to bifurcation behaviors of a symmetric railway bogie system. Nonlinear Dyn. 70(1), 363–380 (2012)

    Article  MathSciNet  Google Scholar 

  13. Gao, X.J., et al.: Symmetric /asymmetric bifurcation analysis of railway bogie system under complex nonlinear wheel-rail contact relation. J. Mech. Eng. 49(8), 129–135 (2013)

    Article  Google Scholar 

  14. Vermeulen, P.J., Johnson, K.L.: Contact of nonspherical elastic bodies transmitting tangential forces. J. Appl. Mech. 31(2), 338–340 (1964)

    Article  Google Scholar 

  15. Kalker, J.J.: A fast algorithm for the simplified theory of rolling contact. Veh. Syst. Dyn. 11(1), 1–13 (1982)

    Article  Google Scholar 

  16. Cooperrider, N.K.: The hunting behavior of conventional railway trucks. J. Eng. Indus. 94(2), 752 (1972)

    Article  Google Scholar 

  17. Wolf, A., Swift, J.B., et al.: Determining Lyapunov exponents from a time series. Physica D 16, 285–317 (1985)

    Article  MathSciNet  Google Scholar 

  18. Kim, H.S., et al.: Nonlinear dynamics, delay times, and embedding windows. Physica D 127(1–2), 48–60 (1999)

    Article  Google Scholar 

  19. Packard, N.H., et al.: Geometry from a time series. Phys. Rev. Lett. 45(9), 712 (1980)

    Article  Google Scholar 

  20. Huang, Z.W., et al.: Influence of deviated wear of wheel on performance of high-speed train running on straight tracks. J. China Railw. Soc. 35(2), 14–20 (2013)

    Google Scholar 

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Acknowledgements

This work has been supported by National Natural Science Foundation of China (11790282) and National Key R&D Program of China (2018YFB1201702).

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Correspondence to Yong Yan.

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Yan, Y., Zeng, J. & Mu, J. Complex vibration analysis of railway vehicle with tread conicity variation. Nonlinear Dyn 100, 173–183 (2020). https://doi.org/10.1007/s11071-020-05498-6

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