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Theory of Gyroscopic Effects for Rotating Objects

Theory of Gyroscopic Effects for Rotating Objects

Gyroscopic Effects and Applications

by Ryspek Usubamatov
Paperback
Publication Date: 02/07/2023

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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.


ISBN:
9783030992156
9783030992156
Category:
Classical mechanics
Format:
Paperback
Publication Date:
02-07-2023
Language:
English
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Edition:
2nd Edition
Dimensions (mm):
235x155mm
Weight:
0.48kg

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