Doklady Physics

, Volume 63, Issue 4, pp 165–168 | Cite as

The Theoretical Basis of the Possible Application of a Kovalevsky Gyroscope as Three-Component Angular-Velocity Meter

  • P. K. Plotnikov


Two schemes of the three-component angular-velocity meter based on the Kovalevsky gyroscope are described: on the electrostatic and mechanical spring suspensions. The gyroscopic degrees of freedom are restricted on the observation coordinates, and there is a rapid rotation around its principal axis. A mathematical model of the device motion along three translational coordinates and two angular coordinates is presented. The formulas for determining the two components of the mobile-object angular velocities lying in the equatorial plane are derived by using the signals in the channels of the radial interaxial correction as well as the algorithm of calculation with the help of an onboard controller of the angular-velocity component of rotation around the object axis, which practically coincides with the principal one. The algorithm includes the coordinates of the relative translational equatorial motions of the rotor and their first and second time derivatives. The algorithms of their determination with the interference filtering based on the Leuenberger observing identification device are given.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. V. Kovalevskaja, Acta Math. 12 (2) (1889).Google Scholar
  2. 2.
    V. Ph. Zhuravlev, Mech. Solids 40 (5), 1 (2005).Google Scholar
  3. 3.
    V. Ph. Zhuravlev, Mech. Solids 49 (1), 1 (2014).ADSCrossRefGoogle Scholar
  4. 4.
    V. Ph. Zhuravlev, P. K. Plotnikov, and A. O. Kuznetsov, R.F. Patent No. 155046 (MPK G01C 19//00, 2015).Google Scholar
  5. 5.
    P. K. Plotnikov, R.F. Patent No. 163835 (MPK G01C 19/00, 2016).Google Scholar
  6. 6.
    V. Ya. Raspopov, Micromechanical Devices (Mashinostroenie, Moscow, 2007) [in Russian].Google Scholar
  7. 7.
    N. T. Kuzovkov, Modal Control and Observation Devices (Mashinostroenie, Moscow, 1976) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Gagarin Saratov State Technical UniversitySaratovRussia

Personalised recommendations