Abstract We investigate the possible equilibria for a torque-free gyrostat with an attached springmass damper. The equations of motion are presented, and we develop explicit stability conditions for simple steady spins about principal axes using Routh-Hurwitz and Liapunov stability analyses. Numerical continuation determines additional equilibria using rotor momentum as the bifurcation parameter. Multiple equilibria are identified and characterized, including some interesting stable equilibria corresponding to steady spins about non-principal axes. Pitchfork bifurcations from the nominal-spin state are examined analytically using Liapunov-Schmidt reduction, which produces conditions on system parameters for avoiding a jump phenomenon. The views expressed in this article are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the US Government.


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    Title :

    Relative Equilibria of a Prolate Gyrostat with a Discrete Damper


    Contributors:


    Publication date :

    2002




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    Local classification TIB:    770/7040
    BKL:    55.60 Raumfahrttechnik




    Relative Equilibria of a Prolate Gyrostat with a Discrete Damper

    Sandfry, Ralph A. / Hall, Christopher D. | Springer Verlag | 2002


    Relative Equilibria of a Gyrostat With a Discrete Damper (AAS 01-417)

    Sandfry, R. A. / Hall, C. D. / AAS et al. | British Library Conference Proceedings | 2001


    Motion of a gyrostat with a discrete damper

    Sandfry, Ralph / Hall, Christopher | AIAA | 2000


    Motion of a Gyrostat with a Discrete Damper

    Sandfry, R. / Hall, C. / American Institute of Aeronautics and Astronautics et al. | British Library Conference Proceedings | 2000