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.
Relative Equilibria of a Prolate Gyrostat with a Discrete Damper
2002
Article (Journal)
English
Relative Equilibria of a Prolate Gyrostat with a Discrete Damper
Online Contents | 2002
|Relative Equilibria of a Prolate Gyrostat with a Discrete Damper
Springer Verlag | 2002
|Relative Equilibria of a Gyrostat With a Discrete Damper (AAS 01-417)
British Library Conference Proceedings | 2001
|Motion of a gyrostat with a discrete damper
AIAA | 2000
|Motion of a Gyrostat with a Discrete Damper
British Library Conference Proceedings | 2000
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