Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation
Due to complicated processing technology, the mass distribution of a hemispherical resonator made of fused silica is not uniform, which can affect the azimuth of the standing wave of a resonator under the linear vibration excitation. Therefore, the analysis of standing wave evolution of a resonator...
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MDPI AG
2020-09-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/20/19/5454 |
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| author | Yan Huo Shunqing Ren Zhennan Wei Guoxing Yi |
| author_facet | Yan Huo Shunqing Ren Zhennan Wei Guoxing Yi |
| author_sort | Yan Huo |
| collection | DOAJ |
| description | Due to complicated processing technology, the mass distribution of a hemispherical resonator made of fused silica is not uniform, which can affect the azimuth of the standing wave of a resonator under the linear vibration excitation. Therefore, the analysis of standing wave evolution of a resonator with mass imperfection under linear vibration excitation is of significance for the improvement of the output accuracy of a gyroscope. In this paper, it is assumed that the resonator containing the first–third harmonics of mass imperfection is excited by horizontal and vertical linear vibration, respectively; then, the equations of motion of an imperfect resonator under the second-order vibration mode are established by the elastic thin shell theory and Lagrange mechanics principle. Through error mechanism analysis, it is found that, when the frequency of linear vibration is equal to the natural frequency of resonator, the standing wave is bound in the azimuth of different harmonics of mass imperfection with the change in vibration excitation direction. In other words, there are parasitic components in the azimuth of the standing wave of a resonator under linear vibration excitation, which can cause distortion of the output signal of a gyroscope. On the other hand, according to the standing wave binding phenomenon, the azimuths of the first–third harmonics of mass imperfection of a resonator can also be identified under linear vibration excitation, which can provide a theoretical method for the mass balance of an imperfect resonator. |
| first_indexed | 2024-03-10T16:07:59Z |
| format | Article |
| id | doaj.art-b758e2f3f0aa4949bc731946494226fb |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T16:07:59Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-b758e2f3f0aa4949bc731946494226fb2023-11-20T14:46:26ZengMDPI AGSensors1424-82202020-09-012019545410.3390/s20195454Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration ExcitationYan Huo0Shunqing Ren1Zhennan Wei2Guoxing Yi3Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, ChinaDue to complicated processing technology, the mass distribution of a hemispherical resonator made of fused silica is not uniform, which can affect the azimuth of the standing wave of a resonator under the linear vibration excitation. Therefore, the analysis of standing wave evolution of a resonator with mass imperfection under linear vibration excitation is of significance for the improvement of the output accuracy of a gyroscope. In this paper, it is assumed that the resonator containing the first–third harmonics of mass imperfection is excited by horizontal and vertical linear vibration, respectively; then, the equations of motion of an imperfect resonator under the second-order vibration mode are established by the elastic thin shell theory and Lagrange mechanics principle. Through error mechanism analysis, it is found that, when the frequency of linear vibration is equal to the natural frequency of resonator, the standing wave is bound in the azimuth of different harmonics of mass imperfection with the change in vibration excitation direction. In other words, there are parasitic components in the azimuth of the standing wave of a resonator under linear vibration excitation, which can cause distortion of the output signal of a gyroscope. On the other hand, according to the standing wave binding phenomenon, the azimuths of the first–third harmonics of mass imperfection of a resonator can also be identified under linear vibration excitation, which can provide a theoretical method for the mass balance of an imperfect resonator.https://www.mdpi.com/1424-8220/20/19/5454hemispherical resonatormass imperfectionmotion equationlinear vibrationstanding wave binding |
| spellingShingle | Yan Huo Shunqing Ren Zhennan Wei Guoxing Yi Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation Sensors hemispherical resonator mass imperfection motion equation linear vibration standing wave binding |
| title | Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation |
| title_full | Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation |
| title_fullStr | Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation |
| title_full_unstemmed | Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation |
| title_short | Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation |
| title_sort | standing wave binding of hemispherical resonator containing first third harmonics of mass imperfection under linear vibration excitation |
| topic | hemispherical resonator mass imperfection motion equation linear vibration standing wave binding |
| url | https://www.mdpi.com/1424-8220/20/19/5454 |
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