THE STABILITY OF THE UNSYMMETRICAL HEAVY GYRO WITH DAMPING TORQUE

Abstract

The conditions of the unsymmetrical heavy gyro are that A not-equal B not-equal C where, A, B and C are the principal moments of inertia of the rigid body and the center of gravity G of the rigid body does not coincide with the fixed point, i.e. z(c) not-equal 0, x(c) = y(c) = 0 in this paper. The conditions of the stability and of the instability of the unsymmetrical heavy gyro with and without linear or nonlinear damping torque are obtained by the direct method of Lyapunov.