Theory of Gyroscopic Effects for Rotating Objects Gyroscopic Effects and Applications /
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 theme...
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edisyon: | 3rd ed. 2025. |
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| Online Erişim: | https://doi.org/10.1007/978-3-031-74201-9 |
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| 100 | 1 | |a Usubamatov, Ryspek. |e author. |0 (orcid)0000-0001-8928-9389 |1 https://orcid.org/0000-0001-8928-9389 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theory of Gyroscopic Effects for Rotating Objects |h [electronic resource] : |b Gyroscopic Effects and Applications / |c by Ryspek Usubamatov. |
| 250 | |a 3rd ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XVIII, 313 p. 90 illus.). |b 3 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
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| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
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| 505 | 0 | |a Preface -- Abstract -- Nomenclature -- Gyroscopic effects in engineering -- Acceleration analysis of rotating object -- Inertial forces acting on simple spinning objects -- Properties and specifies of gyroscopic torques -- Mathematical models for motions of a gyroscope suspended from the flexible cord -- Mathematical models for motions of a gyroscope with one side support -- Mathematical models for the top motions and gyroscope nutation -- Gyroscopic effects of deactivation of inertial forces -- Appendix A -- Appendix B. | |
| 520 | |a 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. This book is highlighted in its already third edition. The new edition comprises many new sections for several chapters or new chapters. The most important ones are: Chapter 3 includes a mathematical model for the section inertia torques acting on the spinning annulus and thin ring. The latter does not have a full solution because the handbooks comprise simplified parameters that cannot be used for an exact solution. Chapter 4 offers mathematical model for the arbitrary disposition of the spinning object in space that shows the action of the additional four inertial torques acting on the third axis and new dependencies of gyroscope motions. Chapter 7 now presents mathematical model for the gyroscope nutation with a full solution. The known mathematical model presents a partial solution due to the complexity of the problem. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 1 | 4 | |a Classical Mechanics. |
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