Nonlinear Motion Control of a Column Using a Coupled Gyroscope

AbstractIn this paper, a system of the gyroscopes coupled via the massless torsional springs and the massless torsional dampers mounted on the tip mass of a column subjected to a vibrating base is considered. The coupled gyroscopes are assumed to have reverse angular speeds Ω, and the rotations θ to eliminate the torques due to the springs and the dampers. Taking advantage of the angular momentum of the rotating gyroscope, gyrostabilizer systems are expected to become more widely actualized as theyprovide an effective means of motion control with several significant advantages for various structures. The non-linearmotions of the gyro-column system and the equations of motion for the system are derived following energy (Lagrange) based approaches and examples provided. On the other hand, the effect of the angular velocities of the gyroscopes are studied, and it is shown that the angular velocity (spinvelocity) Ω of a gyroscope has a significanteffect on the behavior of the dynamicmotion. It is alsoshown how the dampers an dspringsdue to the motion between the suporting gimbals influence the dynamic behavior of the column