Vibrational stabilization of the Lagrange top
Abstract
The problem of the stabilization of the Lagrange top with the aid of periodic rotations of its rotor is considered. The rotation occurs in such a manner that the rotation angle of the rotor about its own axis is, on the average, equal to zero. Sufficient conditions for the stabilization of the top are derived, and controls implementing the stabilization are examined. The proposed stabilization method is compared with that for an inverted pendulum.
- Publication:
-
Prikladnaia Matematika i Mekhanika
- Pub Date:
- June 1984
- Bibcode:
- 1984PriMM..48..370R
- Keywords:
-
- Gyroscopic Stability;
- Lagrangian Equilibrium Points;
- Rotary Stability;
- Vibration Damping;
- Rotors;
- Stabilization;
- Physics (General)