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.
Chapter 1. Gyroscopic effects in engineering
Chapter 2. Acceleration analysis of rotating object
Chapter 3. Inertial forces acting on a spinning disc and cylinder
Chapter 4. Properties and specifies of gyroscopic torques
Chapter 5. Mathematical models for motions of gyroscope suspended from the flexible cord
Chapter 6. Mathematical models for motions of a gyroscope with one side support
Chapter 7. Mathematical models for the top motions and gyroscope nutation
Chapter 8. Gyroscopic effects of deactivation of inertial forces
Appendix A. Mathematical models for inertial forces acting on spinning objects
Appendix B. Application of the gyroscopic effects in an engineering