A study of permanent rotations of a heavy dynamically symmetric rigid body with a vibrating suspension point

DOI10.20537/vm170409zbMath1401.70009OpenAlexW2791422979MaRDI QIDQ4961700

Ekaterina Alekseevna Vishenkova, Olga V. Kholostova

Publication date: 25 October 2018

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu611

zbMATH Keywords

stabilityresonancerigid bodyhigh-frequency oscillationsdynamic symmetryStaude's permanent rotations

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Perturbation methods for rigid body dynamics (70E20)

Related Items (1)

On the dynamics of a pendulum mounted on a movable platform

Cites Work

• The equations of the approximate theory of the motion of a rigid body with a vibrating suspension point
• On the theory of motion of a rigid body with a vibrating suspension
• Stability of uniform rotations of a rigid body about a principal axis
• On the stability of permanent rotation of a heavy solid body about a fixed point
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Stability of special motions (permanent rotations) of a heavy rigid body with a suspension point vibrating along the vertical
• On the stability of the specific motions of a heavy rigid body due to fast vertical vibrations of one of its points
• Automatic Synthesis of Assumptions for Compositional Model Checking
• On the influence of vertical vibrations on the stability of permanent rotations of a rigid body about axes lying in the main plane of inertia
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