Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Stability of precessional motion of a gyroscope in resonance conditions

  • 18 Accesses

This is a preview of subscription content, log in to check access.

Literature Cited

  1. 1.

    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1958).

  2. 2.

    R. F. Ganiev and V. O. Kononenko, “On nonlinear oscillations of a solid body supporting rotating rotor”, Izv. Akad. Nauk SSSR, Mekhanika, No. 5 (1965).

  3. 3.

    D. M. Klimov, “Effect of moment relative to the axis of rotation of the rotor on the drift of a gyroscope in Cardon suspension mounted on movable base”, Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. i Mash., No. 5 (1962).

  4. 4.

    D. M. Klimov, “Investigation of drifts of astatic gyroscope in Cardon suspension on a tilting base”, Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. i Mash., No. 5 (1963).

  5. 5.

    V. I. Klimchuk, “Problem of motion of astatic gyroscope in Cardon suspension on movable base”, Prikl. Mekh., 2, No. 2 (1966).

  6. 6.

    Ya. L. Lunts, Errors in Gyroscopic Instruments [in Russian], Sudpromgiz, Leningrad (1969).

  7. 7.

    Yu. A. Mitropol'skii, Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

  8. 8.

    N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Nauka, Moscow (1969).

  9. 9.

    D. S. Pel'por, “Effect of inertia of Cardon frames on the motion of a gyroscope mounted on a vibrating platform”, Izv. Vuzov, Priborostroenie, 2, No. 5 (dy1969).

  10. 10.

    S. S. Rivkin, Theory of Gyroscopic Devices [in Russian], Vol. 1, Sudpromgiz, Leningrad (1962).

Download references

Additional information

Institute of Mechanics of the Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 18, No. 10, pp. 3–11, October, 1972.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ganiev, R.F., Vorob'ev, V.M. Stability of precessional motion of a gyroscope in resonance conditions. Soviet Applied Mechanics 8, 1053–1059 (1972). https://doi.org/10.1007/BF00882579

Download citation

Keywords

  • Resonance Condition
  • Precessional Motion