UID:
almahu_9949335230902882
Format:
XVIII, 291 p. 75 illus.
,
online resource.
Edition:
2nd ed. 2022.
ISBN:
9783030992132
Content:
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 effects are 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.
Note:
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. .
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030992125
Additional Edition:
Printed edition: ISBN 9783030992149
Additional Edition:
Printed edition: ISBN 9783030992156
Language:
English
DOI:
10.1007/978-3-030-99213-2
URL:
https://doi.org/10.1007/978-3-030-99213-2
URL:
Volltext
(URL des Erstveröffentlichers)
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