Dynamic characteristics of resonant gyroscopes study based on the Mathieu equation approximate solution  

作　　者：樊尚春 李艳 郭占社 李晶 庄海涵 

机构地区：[1]School of Instrument Science&Opto-electronics Engineering,Beihang University [2]Key Laboratory of Precision Opto-mechatronics Techonology of Ministry of Education [3]Key Laboratory of Inertial Science and Technology for National Defence

出　　处：《Chinese Physics B》2012年第5期58-65,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 60927005);the Innovation Foundation of BUAA for Ph. D. Graduates,China;the Fundamental Research Funds for the Central Universities,China (Grant No. YWF-10-01-A17)

摘　　要：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.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.

关 键 词：resonant gyroscopes dynamic characteristics Mathieu equation approximate solution 

分 类 号：TN966[电子电信—信号与信息处理] O175[电子电信—信息与通信工程]