On the theory of linear gyroscopic systems

DOI10.1016/0021-8928(96)00029-9zbMath0889.70006OpenAlexW2095551888MaRDI QIDQ1361968

Alexandr A. Zevin

Publication date: 18 June 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(96)00029-9

zbMATH Keywords

eigenvaluesHamiltonian systemsRayleigh's theoremdegree of instabilitysmall dissipative forcesgyroscopically stabilized system

Mathematics Subject Classification ID

Modal analysis in linear vibration theory (70J10) Motion of the gyroscope (70E05)

Cites Work

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• A theory of linear non-conservative systems
• On the admissibility of application of precession equations of gyroscopic systems
• Generalization of the Rayleigh theorem to gyroscopic systems
• A note on asymptotic control theory
• Generalization of the Rayleigh Theorem to Non-Linear and Parametrically Excited Systems

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