Theory of Gyroscopic Effects for Rotating Objects

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 objectsdiscs and cylinders Presents the theory of gyroscopic effects

Autorentext
Dr. Ryspek Usubamatov graduated from the Moscow State Technical University after N. Bauman with a Professional Engineer in Mechanical and Manufacturing Engineering and Ph.D. in Industrial Engineering. He obtained Dr. Tech. Sc. in Academy of Sciences of Kyrgyzstan. His industrial experience includes work as a registered Professional Engineer in machine tools design at the Bishkek Engineering Plant of Kyrgyzstan. Academic professional experience has involved teaching at the Universities of Kyrgyzstan and Malaysia. His major areas of research are mechanical, manufacturing, and industrial engineering where published 8 books around 400 manuscripts, and 61 patents of inventions. He is the author of two fundamental works, "Productivity theory for industrial engineering", Taylor & Francis, 2018, and "Theory of gyroscopic effects, for rotating objects", Springer, 2022. He is the Academician of the Moscow International Academy of Higher Education, Member of the American Association for the Advancement of Science, Universal Association of Mechanical and Aeronautical Engineers, American Physical Society, and International Institute of Engineers. He is the editorial board member for the eight international journals. His honors and awards: State medal: "Valorous Labour", Kyrgyzstan; Silver and bronze medals of 2009 and 20214 ITEX, Exhibitions of Inventions, Malaysia; Order of Merit, World Inventor Award Festival, WIAF 2012, Korea.

Inhalt

Preface.- Abstract.- Nomenclature.- Chapter 1 Gyroscopic effects in engineering.- Chapter 2 Acceleration analysis of rotating object.- Chapter 3 Inertial forces acting on simple spinning objects.- Chapter 4 Properties and specifies of gyroscopic torques.- Chapter 5 Mathematical models for motions of a 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.- Appendix B.