Geodesic
The model of hemispherical resonator gyroscope in terms of slow variables
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 421-429

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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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     author = {G. A. Trutnev},
     title = {The model of hemispherical resonator gyroscope in terms of slow variables},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {421--429},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2015_25_3_a11/}
}
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G. A. Trutnev. The model of hemispherical resonator gyroscope in terms of slow variables. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 421-429. http://geodesic.mathdoc.fr/item/VUU_2015_25_3_a11/