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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2015, Volume 25, Issue 3, Pages 421–429 (Mi vuu496)  

MECHANICS

The model of hemispherical resonator gyroscope in terms of slow variables

G. A. Trutnev

Department of Differential Equations, Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

Abstract: The paper refers to the issues of designing a hemispherical resonator gyroscope. General information on the operation of this kind of device is given. Parameters that determine the accuracy class of the device are described. Causes of degradation of the device accuracy are examined. The features of application of different mathematical models of hemispherical resonator gyroscope are described. The author proposes to examine a model as a partial oscillator. An initial model contains “fast-changing” components. Operation of hemispherical resonator gyroscope is based on measuring the correlation between amplitudes of vibrations in different sectors of resonator. For the simulation modeling of systems it is more convenient to exclude high-frequency changes from the initial model, and to leave dependence between slowly changing amplitudes. In order to bring a model to a more suitable form, it is possible to apply the theorem of Bogolyubov. General calculations for constructing a model in “slow” variables are established. Important aspects of its application and restrictions are described. Obtained model is appropriate for simulation modeling of gyro systems.

Keywords: hemispherical resonator gyroscope, mathematical modeling, theorem of Bogolyubov.

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Document Type: Article
UDC: 517.928
MSC: 34A25
Received: 30.07.2015

Citation: G. A. Trutnev, “The model of hemispherical resonator gyroscope in terms of slow variables”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:3 (2015), 421–429

Citation in format AMSBIB
\Bibitem{Tru15}
\by G.~A.~Trutnev
\paper The model of hemispherical resonator gyroscope in terms of slow variables
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2015
\vol 25
\issue 3
\pages 421--429
\mathnet{http://mi.mathnet.ru/vuu496}
\elib{http://elibrary.ru/item.asp?id=24237248}


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