Stability of the uniform rotation of a gyrostat round the vertical main axis on an absolutely smooth horizontal plane

DOI10.1016/0021-8928(86)90057-2zbMath0618.70002OpenAlexW2029252149MaRDI QIDQ1822519

S. A. Belikov

Publication date: 1986

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(86)90057-2

zbMATH Keywords

accuracyresonancesconstraintsgyrostatcanonical equationsHamilton functionsufficient conditions for stabilitysystem with two degrees of freedomuniform rotationsposition of equilibriumnecessary stability conditionsabsolutely smooth planeexpansion of the Hamiltonianfourth- order termsuniform gyrostat rotation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Motion of the gyroscope (70E05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• On realizing nonholonomic constraints by viscous friction forces and Celtic stones stability
• On permanent rotations of a heavy solid body on an absolutely rough horizontal plane
• On stability of steady motions of a heavy solid body on an absolutely smooth horizontal plane
• Stability of the Lagrange solutions of the restricted three-body problem for the critical ratio of the masses
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• On the stability of motion of gyrostats
• On the stability of steady motions
• On the dynamics of a solid on an absolutely rough plane
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item