Mathematical models for inertial torques acting on a spinning ring
- International Robotics & Automation Journal
The main component of the gyroscopic devices is the spinning rotor, which design can be different and represented by the disc, cylinder, ring, etc. forms. These rotating objects manifest gyroscopic effects which action is increased proportionally with the intensification of the angular velocity of their spinning. Recent publications demonstrate the applied torque on gyroscopic devices generates internal resistance and precession torques based on the action of the centrifugal, common inertial, and Coriolis forces, as well as the change in the angular momentum. This internal inertial torques act simultaneously and interdependently around axes of gyroscopic devices. This paper presents mathematical models for the internal inertial torques generated by the mass elements and centre mass of the spinning ring. These models enable for the computing the forces acting on the supports of the spinning ring and describe the motions of the gyroscopic devices in space. The content of the manuscript presents novelty for machine dynamics and engineering.
gyroscope theory, property, torque, ring, centrifugal, angular, velocity, dynamics, engineering, spinning ring, velocity, transformation, parameters, integral expression, symmetrical