{"title":"Nonlinear Effects in the Dynamics of HRG with Flat Electrodes","authors":"","doi":"10.1134/s2075108724700044","DOIUrl":null,"url":null,"abstract":"<p><strong>Abstract</strong>—The paper addresses a hemispherical resonator gyroscope (HRG) with flat electrodes applied in the vehicle control and navigation. In order to enhance the gyro accuracy, we formulate the problem of constructing a new mathematical model describing the nonlinearities of the electromechanical system controlling the hemispherical resonator oscillations. The mathematical model of the resonator dynamics is based on Lagrange−Maxwell differential equations. The obtained nonlinear model is studied with the asymptotic Krylov−Bogolyubov averaging method. The reference voltage on flat control electrodes is shown to arouse systematic drift and changes in the resonance frequency. The provided example demonstrates the influence of reference voltage on the gyro drift and reduction in the resonator oscillation frequency.</p>","PeriodicalId":38999,"journal":{"name":"Gyroscopy and Navigation","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gyroscopy and Navigation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s2075108724700044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 0
Abstract—The paper addresses a hemispherical resonator gyroscope (HRG) with flat electrodes applied in the vehicle control and navigation. In order to enhance the gyro accuracy, we formulate the problem of constructing a new mathematical model describing the nonlinearities of the electromechanical system controlling the hemispherical resonator oscillations. The mathematical model of the resonator dynamics is based on Lagrange−Maxwell differential equations. The obtained nonlinear model is studied with the asymptotic Krylov−Bogolyubov averaging method. The reference voltage on flat control electrodes is shown to arouse systematic drift and changes in the resonance frequency. The provided example demonstrates the influence of reference voltage on the gyro drift and reduction in the resonator oscillation frequency.
期刊介绍：
Gyroscopy and Navigation is an international peer reviewed journal that covers the following subjects: inertial sensors, navigation and orientation systems; global satellite navigation systems; integrated INS/GNSS navigation systems; navigation in GNSS-degraded environments and indoor navigation; gravimetric systems and map-aided navigation; hydroacoustic navigation systems; navigation devices and sensors (logs, echo sounders, magnetic compasses); navigation and sonar data processing algorithms. The journal welcomes manuscripts from all countries in the English or Russian language.
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