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Theory and Mathematical Modeling of Operational Processes of a Single-Gyro Meter of Three Rotation Angles for a Moving Object

https://doi.org/10.17285/0869-7035.2019.27.2.150-161

Abstract

The paper discusses a design solution for a single-gyro meter of three angles of a moving object's rotations. In terms of physics, this solution is based on the forces of rotation and one- and two-component translational motions of a spherical rotor in electrostatic suspension, generated by a gyro torque motor and sensors. Theoretical substantiation, algorithms and results of comparative mathematical modeling are presented. It is shown that one-component oscillations of the rotor in the equator plane provide the azimuth angle error that is three times smaller than that of two-component oscillations.

About the Authors

V. F. Zhuravlev
RAS Institute for Problems in Mechanics, Moscow
Russian Federation


B. E. Landau
Concern CSRI Elektropribor, JSC, St. Petersburg
Russian Federation


P. K. Plotnikov
Saratov State Technical University n.a. Yurii Gagarin
Russian Federation


References

1. Zhuravlev, V.F., Strapdown inertial navigation system of pendulum type (SINS PT), Izvestiya RAN. MTT, 2014, no. 1, pp. 6–17.

2. Gorenshtein, I.A. and Shul’man, I.A., Inertsial’nye navigatsionnye sistemy (Inertial Navigation Systems), Moscow: Mashinostroenie, 1970.

3. Zhuravlev, V.F., Plotnikov, P.K. and Kuznetsov, A.O., A three-component angular rate sensor based on a spherical gyroscope with electrostatic suspension, RF Patent 155046, 2015.

4. Luk’yanov, D.P., Raspopov, V.Ya. and Filatov, V.Ya., Prikladnaya teoriya giroskopov (Applied Theory of Gyroscopes), St. Petersburg: Concern CSRI Elektropribor, 2015.

5. Landau, B.E., Electrostatic gyro with a solid rotor, Giroskopiya i navigatsiya, 1993, no. 1, pp. 6–12.

6. Dyugurov, S.M. and Landau B.E., On measuring trihedron of strapdown electrostatic gyro, Giroskopiya i navigatsiya, 1999, no. 1, pp. 21–29.

7. Kalikhman, D.M., Pretsizionnye upravlyaemye stendy dlya dinamicheskikh ispytanii giroskopicheskikh priborov (Precision Controlled Testbenches for Dynamic Testing of Gyroscopic Instruments), St. Petersburg: Concern CSRI Elektropribor, 2008.

8. Zhuravlev, V.F., Landau, B.E. and Plotnikov, P.K., A single-gyro three-component meter of vehicle rotatopn angles on electrostatic suspension, RF Patent 176676, 2018.


Review

For citations:


Zhuravlev V.F., Landau B.E., Plotnikov P.K. Theory and Mathematical Modeling of Operational Processes of a Single-Gyro Meter of Three Rotation Angles for a Moving Object. Giroskopiya i Navigatsiya. 2019;27(2):150-161. (In Russ.) https://doi.org/10.17285/0869-7035.2019.27.2.150-161

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ISSN 0869-7035 (Print)
ISSN 2075-0927 (Online)