Theory of Gyroscopic Effects for Rotating Objects
Gyroscopic Effects and Applications
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Beschreibung
This book highlights an analytical solution for the dynamics of axially rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler’s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal and Coriolis forces, as well as the change in the angular momentum. The interrelation of inertial torques is based on the dependency of the angular velocities of the motions of the spinning objects around axes by the principle of mechanical energy conservation. These kinetically interrelated torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects of different designs, like rings, cones, spheres, paraboloids, propellers, etc. Lastly, the mathematical models for the gyroscopic effectsare validated by practical tests.
The 2nd edition became necessary due to new development and corrections of mathematical expressions: It contains new chapters about the Tippe top inversion and inversion of the spinning object in an orbital flight and the boomerang aerodynamics.
This book highlights an analytical solution for the dynamics of axially rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler’s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal and Coriolis forces, as well as the change in the angular momentum. The interrelation of inertial torques is based on the dependency of the angular velocities of the motions of the spinning objects around axes by the principle of mechanical energy conservation. These kinetically interrelated torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects of different designs, like rings, cones, spheres, paraboloids, propellers, etc. Lastly, the mathematical models for the gyroscopic effectsare validated by practical tests.
The 2nd edition became necessary due to new development and corrections of mathematical expressions: It contains new chapters about the Tippe top inversion and inversion of the spinning object in an orbital flight and the boomerang aerodynamics.
Highlights an analytical solution for the dynamics of axially symmetric rotating objects Discusses gyroscopic effects by mathematical models of movable spinning objects—discs and cylinders Presents the theory of gyroscopic effects
Autor*in
Ryspek Usubamatov
Themen in »Theory of Gyroscopic Effects for Rotating Objects«
Spinning disc Spinning cylinder Gyroscopic torques Gyroscope nutation Inertial forces Spinning objects Coriolis forces Euler’s form Tippe top inverstion Orbital flight
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“A very interesting book by one of the leading experts that is highly recommended to specialists in the field of gyroscopic effects.” (Olaf Ninnemann, zbMATH 1514.70001, 2023)
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