基于二维质点振动模型的半球谐振陀螺谐振子进动分析  

Procession analysis of HRG resonator based on two dimensional mass vibrations

作　　者：王旭[1] 方针 吴文启[1] 罗兵[1] 李云[1] 

机构地区：[1]国防科技大学,长沙410073 [2]压电与声光技术研究所,重庆400060

出　　处：《中国惯性技术学报》2011年第5期621-626,共6页Journal of Chinese Inertial Technology

基　　金：国家高技术研究发展计划(863计划)(2006AA12Z319)

摘　　要：半球谐振陀螺是基于固体波的进动效应进行角速度检测的一种全固态陀螺。为分析半球谐振子中固体波的进动效应,基于虚功原理,建立了理想条件下半球谐振陀螺谐振子中固体波进动的动力学模型。针对进动波的动力学模型过于复杂、难于分析的缺陷,提出采用相似系统的分析方法,将该动力学模型等效为二维空间质点的简谐振动模型;采用"快变量"与"慢变量"分离的方法,对等效模型进行了参数分析,通过与实际的半球谐振陀螺信号处理系统采集的李沙育图形进行对比,验证了等效简谐振动模型的有效性和正确性。The main gyroscopic effect of Hemispherical Resonator Gyro（HRG） is the standing waves precession in the hemispherical resonator shell,which is caused by the inertial rotation of the body.In order to analyze the effect of the solid wave procession in its resonator,the kinetic model of procession of the standing wave is presented under ideal condition based on the virtual work principle.Since the model is too complex to analyze,a similar system analysis theory is employed to make the complex kinetic procession model of the resonator be equivalent to two dimensional mass vibrations.Meanwhile,＂slow-varying＂ and ＂fast-varying＂ variables are introduced to analyze the equivalent model parameters.Through comparing the figure of mass vibration to Lissajous figure obtained from the HRG pick-off electrodes,it is can be concluded that the similar system analysis theory is valid and correct.

关 键 词：半球谐振陀螺 进动理论 动力学模型 正交分解 

分 类 号：U666.1[交通运输工程—船舶及航道工程]