Dynamic characteristics of resonant gyroscopes study based on the Mathieu equation approximate solution |
| |
| Authors: | Fan Shang-Chun Li Yan Guo Zhan-She Li Jing Zhuang Hai-Han |
| |
| Affiliation: | School of Instrument Science & Opto-electronics Engineering, Beihang University, Beijing 100191, China; Key Laboratory of Precision Opto-mechatronics Techonology of Ministry of Education, Beijing 100191, China; Key Laboratory of Inertial Science and Technology for National Defence, Beijing 100191, China |
| |
| Abstract: | Dynamic characteristics of the resonant gyroscope are studied based on the Mathieu equation approximate solution in this paper. The Mathieu equation is used to analyze the parametric resonant characteristics and the approximate output of the resonant gyroscope. The method of small parameter perturbation is used to analyze the approximate solution of the Mathieu equation. The theoretical analysis and the numerical simulations show that the approximate solution of the Mathieu equation is close to the dynamic output characteristics of the resonant gyroscope. The experimental analysis shows that the theoretical curve and the experimental data processing results coincide perfectly, which means that the approximate solution of the Mathieu equation can present the dynamic output characteristic of the resonant gyroscope. The theoretical approach and the experimental results of the Mathieu equation approximate solution are obtained, which provides a reference for the robust design of the resonant gyroscope. |
| |
| Keywords: | resonant gyroscopes dynamic characteristics Mathieu equation approximate solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
