Stability of special motions (permanent rotations) of a heavy rigid body with a suspension point vibrating along the vertical

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

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170409 ◽

2017 ◽

Vol 27 (4) ◽

pp. 590-607

Author(s):

E.A. Vishenkova ◽

◽

O.V. Kholostova ◽

◽

...

Keyword(s):

Rigid Body ◽

Suspension Point ◽

Symmetric Rigid Body ◽

Permanent Rotations

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A Note on the Stability of Permanent Rotations of a Heavy Rigid Body With a Fixed Point

Journal of Applied Mechanics ◽

10.1115/1.3423536 ◽

1975 ◽

Vol 42 (1) ◽

pp. 239-240

Author(s):

D. J. McGill ◽

L. S. Long

Keyword(s):

Fixed Point ◽

Rigid Body ◽

Heavy Rigid Body ◽

The Stability ◽

Permanent Rotations

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Stability of high-frequency periodic motions of a heavy rigid body with a horizontally vibrating suspension point

Mechanics of Solids ◽

10.3103/s0025654416060029 ◽

2016 ◽

Vol 51 (6) ◽

pp. 632-642

Author(s):

M. V. Belichenko

Keyword(s):

Rigid Body ◽

High Frequency ◽

Periodic Motions ◽

Suspension Point ◽

Heavy Rigid Body

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On the stability of the permanent rotations of an asymmetric heavy rigid body

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(83)90056-4 ◽

1983 ◽

Vol 47 (3) ◽

pp. 316-320 ◽

Cited By ~ 1

Author(s):

D.V. Andreev

Keyword(s):

Rigid Body ◽

Heavy Rigid Body ◽

The Stability ◽

Permanent Rotations

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Single -valuedness of a general solution of the problem of motion of a heavy rigid body in a newtonian force field in one particular case

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(65)90076-6 ◽

1965 ◽

Vol 29 (3) ◽

pp. 699-702 ◽

Cited By ~ 1

Author(s):

Iu.A. Arkhangel'skii

Keyword(s):

General Solution ◽

Rigid Body ◽

Force Field ◽

Newtonian Force ◽

Heavy Rigid Body ◽

Newtonian Force Field

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On the motion of a heavy rigid body in an ideal fluid with circulation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.2166530 ◽

2006 ◽

Vol 16 (1) ◽

pp. 013118 ◽

Cited By ~ 29

Author(s):

Alexey V. Borisov ◽

Ivan S. Mamaev

Keyword(s):

Rigid Body ◽

Ideal Fluid ◽

Heavy Rigid Body

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Local coordinates in problem of the orbital stability of pendulum-like oscillations of a heavy rigid body in the Bobylev–Steklov case

Journal of Physics Conference Series ◽

10.1088/1742-6596/1925/1/012016 ◽

2021 ◽

Vol 1925 (1) ◽

pp. 012016

Author(s):

B S Bardin

Keyword(s):

Rigid Body ◽

Orbital Stability ◽

Heavy Rigid Body ◽

Local Coordinates

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The sufficient conditions for the existence of asymptotically pendulum-like motions of a heavy rigid body with a fixed point

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(86)90020-1 ◽

1986 ◽

Vol 50 (4) ◽

pp. 522-525 ◽

Cited By ~ 1

Author(s):

A.Z. Bryum ◽

G.V. Gorr

Keyword(s):

Fixed Point ◽

Rigid Body ◽

Sufficient Conditions ◽

Heavy Rigid Body

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Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using ?-function

Celestial Mechanics ◽

10.1007/bf01229138 ◽

1983 ◽

Vol 29 (3) ◽

pp. 249-253 ◽

Cited By ~ 3

Author(s):

F. M. El-Sabaa

Keyword(s):

Fixed Point ◽

Rigid Body ◽

Solution Of Equations ◽

Heavy Rigid Body

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On the motion of a heavy rigid body in two special cases of S.V.Kovalevskaya’s solution

Nelineinaya Dinamika ◽

10.20537/nd1801010 ◽

2018 ◽

Vol 14 (1) ◽

pp. 123-138

Author(s):

Г.В. Горр ◽

◽

Е.К. Щетинина ◽

Keyword(s):

Rigid Body ◽

Heavy Rigid Body ◽

Special Cases

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