Research on the Electrostatic Torques in the MUM-ESG

作     者：郭晋峰 糜长军 田蔚风 金志华 

作者机构：Dept. of Instrument Science & Eng.Shanghai Jiaotong Univ. 

出 版 物：《Journal of Shanghai Jiaotong university(Science)》 (上海交通大学学报（英文版）)

年 卷 期：2007年第12卷第3期

页      面：370-376,382页

核心收录：

学科分类：08[工学] 081105[工学-导航、制导与控制] 0811[工学-控制科学与工程] 

基　　金：National Defense Pre-research Foundation of China(No.51409060104JW0307) 

主　　题：inertial instruments electrostatically suspended gyroscope (ESG) electrostatic torque 

摘      要：A research on the electrostatic torques in the electrostatically suspended gyroscope (ESG) that uses the mass-unbalance modulation (MUM) scheme (MUM-ESG) to sense the direction of the rotor s spinning axis is presented here. Spherical harmonic functions are used to describe the asphericity of the rotor and the electrodes. Rotational matrix theory in quantum mechanics is utilized to transform the description of the rotor s asphericity from the rotor-fixed frame into the cavity-fixed frame. And the principle of the virtual displacement is applied to find out the electrostatic torques acting on the rotor. Analytical expressions of the electrostatic torques indicate that there are only three kinds of factors need to be considered when looking for the electrostatic torques in the MUM-ESG. The factors are the asphericity of the rotor, the eccentric rotation of the rotor, and the coupling between the rotor s translational displacement and asphericity. An intuitionistic explanation for the electrostatic torque that comes of the rotor s eccentric rotation is presented also. The effects of these conclusions should be tested and verified in the future experiments and applications.