 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| Maslov D.A. and Merkuryev I.V., "Impact of Nonlinear Properties of Electrostatic Control Sensors on the Dynamics of a Cylindrical Resonator of a Wave Solid-State Gyroscope," Mech. Solids. 56 (6), 960-979 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
6 |
Pages |
960-979 |
| DOI |
10.3103/S002565442106011X |
| Title |
Impact of Nonlinear Properties of Electrostatic Control Sensors on the Dynamics of a Cylindrical Resonator of a Wave Solid-State Gyroscope |
| Author(s) |
Maslov D.A. (National Research University "Moscow Power Engineering Institute" (MPEI), Moscow, 111250 Russia, MaslovDmA@mpei.ru)
Merkuryev I.V. (National Research University "Moscow Power Engineering Institute" (MPEI), Moscow, 111250 Russia, MerkuryevIV@mpei.ru) |
| Abstract |
Mathematical models of the dynamics of a cylindrical resonator of a wave solid-state gyroscope are deduced, which take into account the nonlinearities caused by the excitation of oscillations by electrostatic control sensors. The important types of nonlinearities are highlighted: cubic nonlinearity of a special type and quadratic nonlinearity affecting control. It is shown that cubic nonlinearity is derived when the electrostatic component of stiffness is refined and leads to the angular velocity of the gyroscope drift, which is proportional to the square of the reference voltage. To study the breakdown of oscillations, the equations of amplitude-frequency characteristics are derived, taking into account cubic nonlinearity and quadratic nonlinearity affecting control, the influence of quadratic nonlinearity on the amplitude of oscillations, and cubic nonlinearity – on a decrease in the resonance frequency are shown. Formulas for calculating the resonance frequency and algorithms for calculating the frequencies of the breakdown of oscillations taking into account the nonlinearity of oscillations are proposed. |
| Keywords |
wave solid-state gyroscope, electrostatic sensors, cylindrical resonator, nonlinear oscillations, gyroscope drift |
| Received |
29 December 2020 | Revised |
06 January 2021 | Accepted |
14 January 2021 |
| Link to Fulltext |
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