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 symmetric 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, common inertial, Coriolis forces, as well as the change in their angular momentum. These torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects, like rings, cones, spheres, paraboloids and propellers of different designs. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests.
This book highlights an analytical solution for the dynamics of axially symmetric 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, common inertial, Coriolis forces, as well as the change in their angular momentum. These torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects, like rings, cones, spheres, paraboloids and propellers of different designs. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests.
Highlights an analytical solution for the dynamics of axially symmetric rotating objects Discusses gyroscopic effects by mathematical models of Euler’s form for the motion of movable spinning objects- discs and cylinders Validates the mathematical models for the gyroscopic effects by practical tests
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