Ruiqi Wang , Guoxing Yi , Weinan Xie , Zhennan Wei , Shengwei Dong
{"title":"半球形谐振陀螺仪装配误差的自校正方法","authors":"Ruiqi Wang , Guoxing Yi , Weinan Xie , Zhennan Wei , Shengwei Dong","doi":"10.1016/j.ijmecsci.2025.110811","DOIUrl":null,"url":null,"abstract":"<div><div>The assembly error calibration methods for Coriolis vibrating gyroscopes based on rate fluctuation heavily rely on external equipment and cannot track changes in assembly errors in real time. To address this issue, this paper proposes a self-calibration method for assembly errors based on virtual rotation modulation (VRM). First, a systematic association model between assembly attitude errors and channel coupling errors under the time-division multiplexing control scheme is established. Based on this, a coupling drift model of the hemispherical resonator gyroscope (HRG), incorporating channel coupling errors, is developed, revealing the control voltage coupling mechanism induced by assembly errors. Finally, a self-calibration method for assembly errors based on VRM is proposed according to the evolution pattern of the amplitude control voltage, eliminating the dependence on external equipment during the calibration process. Experimental results demonstrate that this method reduces the preheating time of a navigation-grade HRG from 2 h to 5 min, while decreasing the scale factor nonlinearity and bias instability by factors of 12.5 and 4.3, respectively, to only 0.79 ppm and 0.0108°/h. This study provides a new approach for the efficient calibration of axisymmetric vibrating gyroscopes, offering significant theoretical value and broad application potential.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110811"},"PeriodicalIF":9.4000,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Self-calibration method for assembly errors of hemispherical resonator gyroscope\",\"authors\":\"Ruiqi Wang , Guoxing Yi , Weinan Xie , Zhennan Wei , Shengwei Dong\",\"doi\":\"10.1016/j.ijmecsci.2025.110811\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The assembly error calibration methods for Coriolis vibrating gyroscopes based on rate fluctuation heavily rely on external equipment and cannot track changes in assembly errors in real time. To address this issue, this paper proposes a self-calibration method for assembly errors based on virtual rotation modulation (VRM). First, a systematic association model between assembly attitude errors and channel coupling errors under the time-division multiplexing control scheme is established. Based on this, a coupling drift model of the hemispherical resonator gyroscope (HRG), incorporating channel coupling errors, is developed, revealing the control voltage coupling mechanism induced by assembly errors. Finally, a self-calibration method for assembly errors based on VRM is proposed according to the evolution pattern of the amplitude control voltage, eliminating the dependence on external equipment during the calibration process. Experimental results demonstrate that this method reduces the preheating time of a navigation-grade HRG from 2 h to 5 min, while decreasing the scale factor nonlinearity and bias instability by factors of 12.5 and 4.3, respectively, to only 0.79 ppm and 0.0108°/h. This study provides a new approach for the efficient calibration of axisymmetric vibrating gyroscopes, offering significant theoretical value and broad application potential.</div></div>\",\"PeriodicalId\":56287,\"journal\":{\"name\":\"International Journal of Mechanical Sciences\",\"volume\":\"306 \",\"pages\":\"Article 110811\"},\"PeriodicalIF\":9.4000,\"publicationDate\":\"2025-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mechanical Sciences\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020740325008938\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020740325008938","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Self-calibration method for assembly errors of hemispherical resonator gyroscope
The assembly error calibration methods for Coriolis vibrating gyroscopes based on rate fluctuation heavily rely on external equipment and cannot track changes in assembly errors in real time. To address this issue, this paper proposes a self-calibration method for assembly errors based on virtual rotation modulation (VRM). First, a systematic association model between assembly attitude errors and channel coupling errors under the time-division multiplexing control scheme is established. Based on this, a coupling drift model of the hemispherical resonator gyroscope (HRG), incorporating channel coupling errors, is developed, revealing the control voltage coupling mechanism induced by assembly errors. Finally, a self-calibration method for assembly errors based on VRM is proposed according to the evolution pattern of the amplitude control voltage, eliminating the dependence on external equipment during the calibration process. Experimental results demonstrate that this method reduces the preheating time of a navigation-grade HRG from 2 h to 5 min, while decreasing the scale factor nonlinearity and bias instability by factors of 12.5 and 4.3, respectively, to only 0.79 ppm and 0.0108°/h. This study provides a new approach for the efficient calibration of axisymmetric vibrating gyroscopes, offering significant theoretical value and broad application potential.
期刊介绍:
The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering.
The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture).
Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content.
In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.