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Global Analysis of the Loss of Stability of a Special Railway Bogy

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Nonlinear Dynamics in Engineering Systems

Summary

The nonlinear stability behavior of a special railway bogy is investigated making use of the methods of bifurcation theory. By artificially increasing the degeneracy of the bifurcation problem we are able to treat two local bifurcation problems in one single global problem. These two local problems are, first, the calculation of the subcritical Hopf bifurcation at loss of stability of the steady state motion of the bogy and, second, the calculation of the turning point in the amplitude graph of the limit cycles.

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References

  1. Moelle D., R. Gasch, Nonlinear Bogie Hunting, Proceedings 7th IAVSD-Symposium (A. H. Wickens ed.) Swets and Zeitlinger B. V., Lisse 1982, 455–467.

    Google Scholar 

  2. Seydel R., BIFPACK: A program package for calculating bifurcations, State University of New York at Buffalo, 1985.

    Google Scholar 

  3. Arnold V.I., Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen, VEB-Verlag, Berlin 1987.

    Google Scholar 

  4. Golubitsky M., I. Stewart, D. Schaeffer, Singularities and Groups in Bifurcation Theory, vol. I and II, Applied Math. Sciences 51 und 69, Springer-Verlag New York 1985, 1988.

    Google Scholar 

  5. Guckenheimer J., Ph. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields„ Applied Math. Sciences 42, Springer-Verlag, New York, 1983.

    Google Scholar 

  6. Carr J., Applications of Centre Manifold Theory, Applied Math. Sciences 35, Springer-Verlag, New York, Heidelberg, Berlin, 1981.

    Google Scholar 

  7. Troger H., A. Steindl, Introduction into Nonlinear Stability and Bifurcation Theory, Springer-Verlag, Wien, 1990.

    Google Scholar 

  8. Garg V. K., R V Dukkipati, Dynamics of Railway Vehicle Systems, Academic Press, Toronto, 1984.

    Google Scholar 

  9. Jaschinski A., Analysis and Experimental Verification of Nonlinear Behavior of a Scaled Railway Bogie Euromech 229, Stuttgart, 1987.

    Google Scholar 

  10. True H., Bifurcation problems in railway vehicle dynamics,International Series of Numerical Mathematics, 79, Birkhäuser Verlag Basel, 1987.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Xu, G., Troger, H., Steindl, A. (1990). Global Analysis of the Loss of Stability of a Special Railway Bogy. In: Schiehlen, W. (eds) Nonlinear Dynamics in Engineering Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83578-0_43

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  • DOI: https://doi.org/10.1007/978-3-642-83578-0_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83580-3

  • Online ISBN: 978-3-642-83578-0

  • eBook Packages: Springer Book Archive

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