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Title
Theory of gyroscopic effects for rotating objects : gyroscopic effects and applications / Ryspek Usubamatov.
Edition
Second edition.
ISBN
9783030992132 (electronic bk.)
3030992136 (electronic bk.)
9783030992125 (print)
3030992128
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xviii, 291 pages) : illustrations
Item Number
10.1007/978-3-030-99213-2 doi
Call Number
QA863
Dewey Decimal Classification
531/.34
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 11, 2022).
Available in Other Form
Print version: 9783030992125
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.