 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 72, Issue 3 / 2008 | Next article >> |
| A.V. Karapetyan and T.S. Sumin, "Permanent rotations of a body with a viscous filler suspended on a rod," J. Appl. Math. Mech. 72 (3), 235-249 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
3 |
Pages |
235-249 |
| Title |
Permanent rotations of a body with a viscous filler suspended on a rod |
| Author(s) |
A.V. Karapetyan (Moscow, Russia, avkarap@mech.math.msu.su)
T.S. Sumin (Moscow, Russia, sumin@imec.msu.ru) |
| Abstract |
Problems of the existence, stability, and branching of the permanent rotations of a heavy, dynamically symmetrical rigid body suspended on a rod and which has an axisymmetric ellipsoidal cavity filled with a fluid are discussed. The phenomenological model of the friction of the fluid against the cavity wall proposed by Samsonov is used. All the trivial permanent rotations of the system and the non-trivial rotations that branch off from the trivial ones are found. Their stability and branching are investigated using a modified Routh's theory. The results obtained are presented in the form of an atlas of bifurcation diagrams. |
| Received |
01 November 2007 |
| Link to Fulltext |
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