Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics
As an essential element of inertial technology，hemispherical resonator gyro(HRG)has become a prior choice of space applications. Dynamic modeling for HRG is the foundation of explicit analysis for HRG’s the- pries. Based on LOVE’s basic hypothesis，harmonic oscillator can be treated as hemispherical...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2017-02-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: |
| _version_ | 1818034900299677696 |
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| author | jin Xiu MAN Chun-tao |
| author_facet | jin Xiu MAN Chun-tao |
| author_sort | jin Xiu |
| collection | DOAJ |
| description | As an essential element of inertial technology，hemispherical resonator gyro(HRG)has become a prior choice of space applications. Dynamic modeling for HRG is the foundation of explicit analysis for HRG’s the- pries. Based on LOVE’s basic hypothesis，harmonic oscillator can be treated as hemispherical elastic thin shell. Elongation and angle changes can be calculated by using elastic thin shell theory. Then the whole kinetic energy and potential energy can be calculated by using Lagrangian Mechanics，thus establishing the Lagrangian equations， as which consequence，the dynamic model of hemispherical harmonic oscillator is obtained. The result shows that the obtained model is equivalent to a 2一D simple harmonic vibration model of a mass block，as which result，the dy- namic model of HRG is simplified. |
| first_indexed | 2024-12-10T06:46:30Z |
| format | Article |
| id | doaj.art-9ade0a23e0e14aa3a35361467c7fbb41 |
| institution | Directory Open Access Journal |
| issn | 1007-2683 |
| language | zho |
| last_indexed | 2024-12-10T06:46:30Z |
| publishDate | 2017-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj.art-9ade0a23e0e14aa3a35361467c7fbb412022-12-22T01:58:38ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-02-01414710.15938/j.jhust.2017.01.007Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics jin XiuMAN Chun-taoAs an essential element of inertial technology，hemispherical resonator gyro(HRG)has become a prior choice of space applications. Dynamic modeling for HRG is the foundation of explicit analysis for HRG’s the- pries. Based on LOVE’s basic hypothesis，harmonic oscillator can be treated as hemispherical elastic thin shell. Elongation and angle changes can be calculated by using elastic thin shell theory. Then the whole kinetic energy and potential energy can be calculated by using Lagrangian Mechanics，thus establishing the Lagrangian equations， as which consequence，the dynamic model of hemispherical harmonic oscillator is obtained. The result shows that the obtained model is equivalent to a 2一D simple harmonic vibration model of a mass block，as which result，the dy- namic model of HRG is simplified.hemispherical resonator gyroscope; dynamic model; elastic thin shell; lagrangian mechanics |
| spellingShingle | jin Xiu MAN Chun-tao Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics Journal of Harbin University of Science and Technology hemispherical resonator gyroscope; dynamic model; elastic thin shell; lagrangian mechanics |
| title | Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics |
| title_full | Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics |
| title_fullStr | Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics |
| title_full_unstemmed | Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics |
| title_short | Dynamic Modeling for Hemispherical Resonator Gyro by Using Lagrangian Mechanics |
| title_sort | dynamic modeling for hemispherical resonator gyro by using lagrangian mechanics |
| topic | hemispherical resonator gyroscope; dynamic model; elastic thin shell; lagrangian mechanics |
| work_keys_str_mv | AT jinxiu dynamicmodelingforhemisphericalresonatorgyrobyusinglagrangianmechanics AT manchuntao dynamicmodelingforhemisphericalresonatorgyrobyusinglagrangianmechanics |