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Nelin. Dinam., 2017, Volume 13, Number 2, Pages 227–241 (Mi nd562)  

This article is cited in 2 scientific papers (total in 2 papers)

Original papers

Compensation of errors taking into account nonlinear oscillations of the vibrating ring microgyroscope operating in the angular velocity sensor mode

D. A. Maslov, I. V. Merkuryev

National Research University Moscow Power Engineering Institute, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia

Abstract: The dynamics of a vibrating ring microgyroscope resonator with open-loop and closed feedback is investigated. We use a mathematical model of forced oscillations for thin elastic resonator, taking into account the nonlinearity coefficient, uneven stiffness, difference in Q-factors and control impact parameters. Using the KrylovBogolyubov averaging method, the resonator dynamics in slow variables measured by microgyroscope electronics has been investigated. Formulas with algorithmic compensation of the above defects for determining the angular velocity of the resonator under nonlinear oscillations and without feedback have been obtained. Control signals taking into account the defects are presented for feedback of the microgyroscope operating in the compensation mode of the angular velocity sensor. Numerical modeling of angular velocity determination in the operation modes considered has been carried out.

Keywords: vibrating ring microgyroscope, angular velocity sensor, nonlinear oscillations, drift compensation

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00772-
16-08-01269-


DOI: https://doi.org/10.20537/nd1702006

Full text: PDF file (563 kB)
References: PDF file   HTML file

UDC: 531.383
MSC: 34K11
Received: 09.01.2017
Accepted:15.04.2017

Citation: D. A. Maslov, I. V. Merkuryev, “Compensation of errors taking into account nonlinear oscillations of the vibrating ring microgyroscope operating in the angular velocity sensor mode”, Nelin. Dinam., 13:2 (2017), 227–241

Citation in format AMSBIB
\Bibitem{MasMer17}
\by D.~A.~Maslov, I.~V.~Merkuryev
\paper Compensation of errors taking into account nonlinear oscillations of the vibrating ring microgyroscope operating in the angular velocity sensor mode
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 2
\pages 227--241
\mathnet{http://mi.mathnet.ru/nd562}
\crossref{https://doi.org/10.20537/nd1702006}
\elib{http://elibrary.ru/item.asp?id=29443379}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. A. Maslov, I. V. Merkurev, “Linearizatsiya kolebanii rezonatora volnovogo tverdotelnogo giroskopa i sil elektrostaticheskikh datchikov upravleniya”, Nelineinaya dinam., 13:3 (2017), 413–421  mathnet  crossref  elib
    2. D. A. Maslov, I. V. Merkuryev, “Increase in the Accuracy of the Parameters Identification for a Vibrating Ring Microgyroscope Operating in the Forced Oscillation Mode with Nonlinearity Taken into Account”, Nelineinaya dinam., 14:3 (2018), 377–386  mathnet  crossref  elib
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