Journals Proceedings

Abstract

Gyroscope devices are primary unit in navigation and control systems that have wide application in aviation, space, ships and other industries. The main property of the gyroscope device is maintaining its axis. This gyroscope peculiarity is represented in term gyroscope effects, which mathematical models formulated on the law of kinetic energy conservation and the rate change in the angular momentum of a spinning rotor. However, the nature of gyroscope effects is more complex and known mathematical models do not match the actual forces and motions in the gyroscope devices. Recent investigations in area of gyroscope theory demonstrate that in the gyroscope are acting four dynamical components simultaneously and interdependently, namely: the centrifugal, inertial and Coriolis forces and the change angular momentum in the spinning rotor. The applied torque to the spinning rotor generates the resistance torque based on centrifugal and Coriolis forces. The torque generated by the inertial forces and by the change of the angular momentum on the spinning rotor resulting in the precession torque of a gyroscope. The action of the resistance and precession torques is combined in case of solution the gyroscope problem. The new mathematical principles for the gyroscope motions are tested and the results practically validated. This paper represents the physical principles of motions in gyroscope devices.