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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© 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
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