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- Title
Investigation of influence of high-frequency vibrations on the stability of stationary rotations of Lagrange's top.
- Authors
Belichenko, Mikhail; Kholostova, Olga
- Abstract
The motion of Lagrange's top in the homogeneous gravity field is considered under the assumption that its suspension point accomplishes a specified high-frequency periodic motion with small amplitude (fast vibrations) in the three-dimensional space. The investigation is carried out in the framework of the approximate autonomous system of canonical equations of motion. Stationary rotations of Lagrange's top around its dynamical symmetry axis for a number of particular cases of the suspension point motions are found as positions of equilibriums of the reduced two-degree-of-freedom system. The linear and nonlinear analysis for their stability is carried out. The problems discussed in the report are new and have no analogues in domestic and foreign literature.
- Subjects
VIBRATION (Mechanics); STABILITY (Mechanics); LAGRANGE problem; PERIODIC motion; EQUILIBRIUM
- Publication
Vibroengineering Procedia, 2016, Vol 8, p213
- ISSN
2345-0533
- Publication type
Article