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Introductory Attitude Dynamics pp 166–204Cite as

Deformable Axisymmetric Gyros

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Part of the book series: Mechanical Engineering Series ((MES))

Abstract

In the present chapter a near-rigid solid is defined. The concept is then introduced into gyrodynamics. After defining the properties of a suitable floating coordinate system, the latter is used to obtain suitable equations of gyrodynamics for deformable bodies. The concept of a body of constant configuration in a floating coordinate system is introduced. The theory is then demonstrated on typical examples.

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Suggested Reading

  1. Canavin, J.R.; P.W. Likins. “Floating Reference Frames for Flexible Spacecraft,” AIAA Journal of Spacecraft and Rockets, 14, 12, 1977, 724–732.

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  2. Chesser, H.C.; F.P.J. Rimrott. “Attitude Drift of Torquefree Flexible Gyros Using the Viscous Damping Model,” Oxford Quarterly Journal of Mechanics and Applied Mathematics, 41, 4, 1988.

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  3. Magnus, K. Kreisel, Springer-Verlag, 1971, 493 pp.

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  4. Rimrott, F.P.J. “Dissipative Rigids in Gyrodynamics,” ZAMM, 65, 7, 1985, 287–300.

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  5. Rimrott, F.P.J.; Y. Yu. “Attitude Drift of a Torquefree Axisymmetric Gyro through a Structural Resonance,” Proceedings, COBEM’87, Florianopolis, Vol. 2, 1987, 869–872.

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  6. Tisserand, F. Traité de mécanique celéste, Gauthier-Villars, Paris, 1889, Vol. I, 474 pp.; Vol. II, 552 pp.; Vol. III, 427 pp.; Vol. IV, 548 pp.

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  7. Zhang, W. “Dynamic Stability of Rotating Viscoelastic Shaft (in Chinese),” Fudan Journal, 23, 1984, 425–433.

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  8. Zhang, W.; F.H. Ling. “Dynamic Stability of the Rotating Shaft Made of Boltzmann Viscoelastic Solid,” ASME Journal of Applied Mechanics, 53, 1986, 424–429.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Toronto, Toronto, Ontario, Canada, M5S 1A4

    F. P. J. Rimrott

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  1. F. P. J. Rimrott
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© 1989 Springer-Verlag New York Inc.

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Rimrott, F.P.J. (1989). Deformable Axisymmetric Gyros. In: Introductory Attitude Dynamics. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3502-6_7

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  • DOI: https://doi.org/10.1007/978-1-4612-3502-6_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8129-0

  • Online ISBN: 978-1-4612-3502-6

  • eBook Packages: Springer Book Archive

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