Theory of Gyroscopic Effects for Rotating Objects (eBook)

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.

Dr. Ryspek Usubamatov studied Mechanical and Manufacturing Engineering at Bauman Moscow State Technical University that graduated in 1966 and received his Ph.D. in 1972 at the same university. After several years of postdoctoral research, he obtained Dr. Tech. Sc. at Kyrgyzstan Academy of Sciences. He has published more than 350 research manuscripts in reputed journals, 8 books, 30 brochures and 61 patents of inventions. His research interests are Productivity Theory for Industrial Engineering and Theory of Gyroscopic Effects. He worked at several universities in Kyrgyzstan and Malaysia. Currently, he is a Professor of Kyrgyz State Technical University after I. Razzakov.

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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.