Abstract:
Contemporary engineering widely uses the gyroscopes, which are main units for navigation and control systems work on a principle of maintaining the axis of a spinning rotor in a space. This gyroscope property formulated by mathematical models based on Euler's the principle of the change in the angular momentum. Nevertheless, the actual acting forces and motions of the gyroscopes do not match theoretical approach. This circumstance commits researchers to find true mathematical solutions. New research results in the area of gyroscopic devices have demonstrated that the gyroscope effects have an origin that is more complex than presented in publications. Investigations manifested that rotating mass of the gyroscopes generates several inertial torques based on the action of the centrifugal, common inertial and Coriolis forces as well as the change in the angular momentum. These torques are interrelated and acted at one time around two gyroscope axes, and represented the internal resistance and precession torques. Practically, the gyroscopic devices run with the action of the frictional forces on the supports and pivots that have the effect upon on gyroscope motions. This work represents an analytic solution for motions of the gyroscope with one side support based on the action of the load, internal and frictional torques. A mathematical model for the gyroscope motions under the action of the external and internal torques is validated by practical tests.
Keywords:
Gyroscope, theory, prorpety, test, torque