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The Theory of the Top. Volume IV : Technical Applications of the Theory of the Top / by Felix Klein, Arnold Sommerfeld
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: New York, NY ; s.l. : Springer New York, 2014Description: Online-Ressource (XIV, 248 p. 53 illus, online resource)ISBN:- 9780817648299
- 510.9
- QA21-27
Contents:
Summary: The Theory of the Top. Volume IV. Technical Applications of the Theory of the Top is the fourth and final volume in a series of self-contained English translations of the classic and definitive treatment of rigid body motion. Key features: * Complete and unabridged presentation with recent advances and additional notes; * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century; * Each volume interweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account. Other volumes in the series include Introduction to the Kinematics and Kinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Perturbations. Astronomical and Geophysical ApplicationsPPN: PPN: 1653611243Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
Contents; Foreword; PREFACE.; Advertisement to Volume IV of the Theory of the Top.; Volume IV Technical Applications of the Theory of the Top; Chapter IX.; Technical applications.; 1. The most important formula in the theory of the top. Generalities on stabilization by the gyroscopic effect.; 2. Gyroscopic effects in railway operation.; 3. The torpedo guidance apparatus. The Whitehead and Howell torpedoes.; 4. The Schlick gyroscopic ship stabilizer. Generalities and theory.; 5. Specialized discussion of the effect of the ship stabilizer. A. Forced oscillations.; A. Forced oscillations.
B. Free oscillations.6. Results and practical experience with the ship stabilizer.; 7. The gyroscopic compass.; 8. Stability of the bicycle.; 9. On alleged and actual gyroscopic effects for the Laval turbine.; 1. The self-positioning thin shaft.; 2. Numerical example.; 3. The occurrence of gyroscopic effects.; 10. Miscellaneous applications.; A. Single-rail trains.; 1. The suspension railway.; 2. The monorail system.; 3. The system of Brennan and Scherl.; B. Nautical applications.; 4. The paddle steamer.; 5. The turbine steamer.; 6. The gyroscopic horizon.; 7. Remarks on aeronautics.
C. Ballistics.8. The dynamic-hydrodynamic problem.; 9. The general empirical facts of ballistics and the role of gyroscopic effects.; Translators' Notes.; References.; Index
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