In engineering,all movable expanse revolving objects manifest gyroscopic effects.These effects are created by the action of the outer load on the revolving items whose rotating mass originates eight inertial torques a...In engineering,all movable expanse revolving objects manifest gyroscopic effects.These effects are created by the action of the outer load on the revolving items whose rotating mass originates eight inertial torques about two axes.Two torques of centrifugal forces,one torque of the Coriolis force originated by the rotating distributed mass,and the torque of the change in the angular momentum of the center mass act about each axis.The inertial torques activate rotations of the gyroscope by the determined correlation.Inertial torques depend on their geometry and orientation at the spatial coordinate system.The known analytical model for the rotation of the revolving disc about axes contains a mechanical error.This error was obtained by the incorrect integration of the centrifugal inertial torque.The corrected inertial torque yields the accurate expression for the interacted rotations of the revolving disc about axes.展开更多
The fundamental principles of the gyroscope theory contain the system of the inertial torques generated by the rotating mass of the spinning disc that interrelated by the ratio of its angular velocities rotation aroun...The fundamental principles of the gyroscope theory contain the system of the inertial torques generated by the rotating mass of the spinning disc that interrelated by the ratio of its angular velocities rotation around axes. The action of the centrifugal, common inertial Coriolis forces and the change in the angular momentum generate the system of inertial torques. These four dynamical components make up the system of the eight torques acting simultaneously on the spinning disc. They manifest their action in gyroscopic effects. The ratio of the precessed motions of the gyroscope presents one of the gyroscopic effects around axes of rotation. The known mathematical model for this ratio contains an error that was corrected in this work.展开更多
文摘In engineering,all movable expanse revolving objects manifest gyroscopic effects.These effects are created by the action of the outer load on the revolving items whose rotating mass originates eight inertial torques about two axes.Two torques of centrifugal forces,one torque of the Coriolis force originated by the rotating distributed mass,and the torque of the change in the angular momentum of the center mass act about each axis.The inertial torques activate rotations of the gyroscope by the determined correlation.Inertial torques depend on their geometry and orientation at the spatial coordinate system.The known analytical model for the rotation of the revolving disc about axes contains a mechanical error.This error was obtained by the incorrect integration of the centrifugal inertial torque.The corrected inertial torque yields the accurate expression for the interacted rotations of the revolving disc about axes.
文摘The fundamental principles of the gyroscope theory contain the system of the inertial torques generated by the rotating mass of the spinning disc that interrelated by the ratio of its angular velocities rotation around axes. The action of the centrifugal, common inertial Coriolis forces and the change in the angular momentum generate the system of inertial torques. These four dynamical components make up the system of the eight torques acting simultaneously on the spinning disc. They manifest their action in gyroscopic effects. The ratio of the precessed motions of the gyroscope presents one of the gyroscopic effects around axes of rotation. The known mathematical model for this ratio contains an error that was corrected in this work.
