The stability and branching of the permanent rotations of a rigid body with a fluid filling

The stability and branching of the permanent rotations of a rigid body with a fluid filling

The problem of the motion of a dynamically symmetrical heavy body with a fixed point and an axially symmetrical cavity completely filled with a fluid is considered taking account of internal friction. All the permanent rotations of the system are found and their stability and branching are investiga...

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Veröffentlicht in:Journal of applied mathematics and mechanics 2004, Vol.68 (6), p.893-897
Hauptverfasser: Karapetyan, A.V., Samsonov, V.A., Sumin, T.S.
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem of the motion of a dynamically symmetrical heavy body with a fixed point and an axially symmetrical cavity completely filled with a fluid is considered taking account of internal friction. All the permanent rotations of the system are found and their stability and branching are investigated. The results are presented in the form of an atlas of bifurcation diagrams.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2004.11.011