The motion of a heavy symmetrical body with flexible rods about a fixed point

DOI10.1016/0021-8928(84)90083-2zbMath0568.73073OpenAlexW1989430508MaRDI QIDQ1060613

V. G. Vil'ke

Publication date: 1985

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(84)90083-2

zbMATH Keywords

stabilitymethod of averagingAndoyer variablesapproximate equationsdeformations of rodsfour mutually orthogonal flexible rods are fixed to itlinear theory of bending of thin viscoelastic rodsmotion of a symmetrical solid about its centre of masssteady rotation about the vertical

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

• Stability of stationary rotation of a heavy solid body with two elastic rods
• On the bifurcation and stability of the steady-state motions of complex mechanical systems
• Separation of motions and the averaging method in the mechanics of systems with an infinite number of degrees of freedom

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