Equivalence of free and driven rotor problems of a twodegreeoffreedom gyroscope
Abstract
It is shown that the behavior of a twodegreeoffreedom gyroscope with a driven rotor is mathematically equivalent to the behavior of a gyroscope with free rotor under all conditions, that is, the gyroscope is assumed to be mounted in a vehicle moving in an arbitrary manner. It is noted that when evaluating the kinetic energy of the freerotor system, the moment of inertia of the inner gimbal about the spin axis of the rotor should be replaced by the difference in the moments of inertia of the inner gimbal and the rotor. The angular velocity of the rotor relative to the inner gimbal should be replaced by the sum of the value of this angular velocity and the component of the angular velocity of the inner gimbal along the spin axis of the rotor at some specified instant of time.
 Publication:

Journal of Engineering Sciences
 Pub Date:
 1976
 Bibcode:
 1976JEngS...2...39A
 Keywords:

 Degrees Of Freedom;
 Gyroscopes;
 Rotor Speed;
 Spacecraft Instruments;
 Spin Dynamics;
 Angular Velocity;
 Electric Motors;
 Gimbals;
 Inertial Reference Systems;
 Onboard Equipment;
 Rotary Stability;
 Instrumentation and Photography