Journals Proceedings

Abstract

Gyroscope devices are primary units for navigation and control systems that have wide application in aviation, in space, on ships and other industries. The main property of the gyroscope device is maintaining the axis of a spinning rotor. This gyroscope peculiarity is represented in terms of gyroscope effects in which mathematical models have been formulated on the law of kinetic energy conservation and a change in an angular momentum. The known gyroscope theories are represented by numerous publications, which analytical approaches cannot give true results. The nature of gyroscope effects is more complex than represented in known publications. Recent investigations in this area have demonstrated that the external torque acting on a gyroscope generates several inertial torques which are interdependent and simultaneous action. The gyroscope internal torques are generated by the action of several inertial forces as well as a change in an angular momentum. Latter one does not play first role in gyroscope theories. These torques represent internal kinetic energies of the spinning rotor. The internal kinetic energies are combined and manifested the gyroscope resistance and precession torques acting around two axes that perpendicular each other. Combination of the internal torques leads to change in the angular velocities of the gyroscope around axes. This paper represents the mathematical models for the torques of the gyroscope that shows the physics of the gyroscope internal kinetic energies and new properties. The mathematical models practically tested and the results are validated the theoretical approach.