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Dynamics of a High-Speed Rotor Touching a Boundary

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Dynamics of Multibody Systems

Part of the book series: IUTAM Symposium ((IUTAM))

Summary

When a rotor touches upon a boundary its motion depends on impact, friction, and gyroscopic effects. They result in a typical self-excitation leading to a variety of phenomena. For a gyro-pendulum touching a rigid plane wall the equations for small motions are derived. They are piecewise linear, globally however, strongly nonlinaer. An energy balance for the different phases of the motion helps to explain stationary, quasistationary and chaotic solutions, containing cascades of period doubling and Feigenbaum structures. The solutions can be classified for a whole set of parameters.

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References

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Author information

Authors and Affiliations

  1. Institute of Mechanics, ETH Zurich, Switzerland

    W. Szczygielski & G. Schweitzer

Authors
  1. W. Szczygielski
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  2. G. Schweitzer
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Editor information

Editors and Affiliations

  1. International Centre for Mechanical Sciences, Palazzo del Torso, Piazza Garibaldi 18, I-33100, Udine, Italy

    Giovanni Bianchi

  2. Institut B für Mechanik, Universität Stuttgart, Pfaffenwaldring 9, D-7000, Stuttgart 80, Germany

    Werner Schiehlen

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© 1986 Springer, Berlin Heidelberg

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Szczygielski, W., Schweitzer, G. (1986). Dynamics of a High-Speed Rotor Touching a Boundary. In: Bianchi, G., Schiehlen, W. (eds) Dynamics of Multibody Systems. IUTAM Symposium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82755-6_24

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  • DOI: https://doi.org/10.1007/978-3-642-82755-6_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82757-0

  • Online ISBN: 978-3-642-82755-6

  • eBook Packages: Springer Book Archive

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