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Analysis of mathematical model for micromechanical vibratory wheel gyroscope
作者姓名:LUOYue-sheng  FANChong-jin  TANZhen-fan
作者单位:[1]SchoolofScience,HarbinEngineeringUniversity,Harbin150001,China [2]SchoolofAutomation,HarbinEngineeringUniversity,Harbin150001,China
摘    要:By the sketch of structure of MVWG,the working laws of this kind of gyroscope were explained. To the aid of Euler‘‘s Dynamics Equation,a mathematical model of the gyroscope was constructed, and then by the basic working laws of MVWG the model was simplified. Under the conditions of the three axial direction rotations and general rotation, the mathematical model was resolved. And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed.

关 键 词:数学模型  微振动  陀螺仪  欧拉平衡方程式

Analysis of mathematical model for micromechanical vibratory wheel gyroscope
LUOYue-sheng FANChong-jin TANZhen-fan.Analysis of mathematical model for micromechanical vibratory wheel gyroscope[J].Journal of Marine Science and Application,2003,2(1):53-60.
Authors:Luo Yue-sheng  Fan Chong-jin  Tan Zhen-fan
Institution:(1) School of Science, Harbin Engineering University, 150001 Harbin, China;(2) School of Automation, Harbin Engineering University, 150001 Harbin, China
Abstract:By the sketch of structure of MVWG,the working laws of this kind of gyroscope were explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic working laws of MVWG the model was simplified.Under the conditions of the three axial direction rotations and general rotation,the mathematical model was resolved.And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed.
Keywords:micromechanical silicon gyroscopes  mathematical model  Euler's dynamics equation
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