Soviet Applied Mechanics

, Volume 10, Issue 8, pp 892–895 | Cite as

Investigation of stability of uniform rotation of a symmetric top filled with a liquid

  • A. Ya. Savchenko
  • A. O. Ignat'ev
Brief Communications
  • 16 Downloads

Keywords

Uniform Rotation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    A. Yu. Ishlinskii and M. E. Temchenko, “Small oscillations of the vertical axis of a top having a cavity entirely filled with an ideal incompressible liquid,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1960).Google Scholar
  2. 2.
    P. A. Kuz'min, “Steady motions of a solid and their stability in a central gravitational field,” Proceedings of an Intercollegiate Conference on Applied Theory of Stability of Motion in Analytical Mechanics (Kazan', (1962) [in Russian], Kazan' (1964).Google Scholar
  3. 3.
    H. Lamb, Hydrodynamics, Dover (1932).Google Scholar
  4. 4.
    A. M. Lyapunov, Constant Helical Motions of a Solid in a Liquid [in Russian], Vol. 1, Izd-vo Akad. Nauk SSSR, Moscow (1954).Google Scholar
  5. 5.
    N. M. Moiseev and V. V. Rumyantsev, Dynamics of a Solid with a Cavity Containing a Liquid [in Russian], Nauka, Moscow (1966).Google Scholar
  6. 6.
    G. K. Pozharitskii, Construction of a Lyapunov function from the integrals of the equations of the perturbed motion,” Prikl. Matem. i Mekhan.,22, No. 2 (1958).Google Scholar
  7. 7.
    V. V. Rumyantsev, Stability of Steady Motions of Satellites [in Russian], VTs (Computer Center) Akad. Nauk SSSR, Moscow (1957).Google Scholar
  8. 8.
    S. L. Sobolev, “Motion of a symmetric top with a cavity filled with liquid,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1960).Google Scholar
  9. 9.
    N. G. Chetaev, Stability of Motion [in Russian], Gostekhteorizdat, Moscow-Leningrad (1946).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. Ya. Savchenko
  • A. O. Ignat'ev

There are no affiliations available

Personalised recommendations