Analysis of a nutation damper for a twodegreeoffreedom gyroscope
Abstract
The dynamics of a twodegreeoffreedom gyroscope with a ballintube nutation damper mounted in the gimbal is analyzed. The nonlinear coupled equations of motion are solved by using the method of multiple scales. The results show that, if the natural frequency of the ballintube damper is tuned to equal the nutation frequency of the gyroscope with the damper removed, the wobble motion of the gyroscope will be eliminated most rapidly and the decay time constant of the nutation angle is a concave function of the damping coefficient. If the nutation damper is oriented perpendicular to the spin axis of the rotor, the residual precession due to the gravity effect can be avoided.
 Publication:

Journal of Guidance Control Dynamics
 Pub Date:
 February 1992
 DOI:
 10.2514/3.20815
 Bibcode:
 1992JGCD...15..165C
 Keywords:

 Degrees Of Freedom;
 Equations Of Motion;
 Gyroscopic Stability;
 Nutation;
 Oscillation Dampers;
 Vibration Damping;
 Gravitational Effects;
 Inertial Navigation;
 Perturbation Theory;
 Precession;
 Instrumentation and Photography