Kyrgyz State Technical University, Kyrgyzstan
Title: Fundamental principles of gyroscope theory
Biography: Ryspek Usubamatov
Gyroscope devices are primary units for navigation and control systems in aviation, space, ships, and other industries. The main property of the gyroscope device is maintaining the axis of a spinning rotor for which mathematical models have been formulated on the law of kinetic energy conservation and the changes in the angular momentum. However, known mathematical models for the gyroscope effects do not match actual forces and motions underway. The nature of the gyroscope properties is more complex than is represented by contemporary theories. Recent investigations have demonstrated that gyroscopes have four inertial forces interdependently and simultaneously acting on them. These forces are internal kinetic energies generated by the mass-elements and center-mass of the spinning rotor and represented by centrifugal, coriolis, and common inertial forces as well as changes in angular momentum. The applied torque generates internal resistance torques that are based on action of centrifugal and coriolis forces; and the precession torques generated by common inertial forces and by the change in the angular momentum. Apart these, the friction forces acting on the gyroscope supports play considerable role in decreasing the internal kinetic energy of the spinning rotor. The new mathematical models for gyroscope effects describe clearly and exactly all known and new gyroscope properties. Mathematical models for the most unsolvable motions of the gyroscope with one side support are validated by practical tests. Formulated models for motions of the gyroscope represent fundamental principles of gyroscope theory based on the actions of internal centrifugal, coriolis and inertial forces and the change in angular momentum, and external applied and friction forces. This new theoretical approach for the gyroscope problems represent new challenge in engineering science.