| DRIFT MOTION OF FREE-ROTOR GYROSCOPE WITH RADIAL MASS-UNBALANCE |
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| 作者姓名： | 刘延柱 薛纭 |
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| 作者单位： | [1]DepartmentofEngineeringMechanics,ShanghaiJiaotongUniversity,Shanghai200030,P.R.China [2]DepartmentofMechanicalEngineering,ShanghaiInstituteofTechnology,Shanghai200233,P.R.China |
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| 基金项目： | theShanghaiMunicipalDevelopmentFoundationofScienceandTechnologyofChina (98JC1 4 0 3 2 ) |
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| 摘 要： | The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro‘ s constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculate‘on
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| 关 键 词： | 刚体运动 自由转子陀螺仪 解析解 欧拉-泊松方程 角动量 |
| 收稿时间： | 9 May 2002 |
Drift motion of free-rotor gyroscope with radial mass-unbalance |
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| Liu?Yan-zhu,Xue?Yun.DRIFT MOTION OF FREE-ROTOR GYROSCOPE WITH RADIAL MASS-UNBALANCE[J].Applied Mathematics and Mechanics(English Edition),2004,25(7):786-781. |
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| Authors: | Liu Yan-zhu Xue Yun |
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| Institution: | 1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R. China
2. Department of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200233, P.R. China |
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| Abstract: | The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. |
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| Keywords: | dynamics of rigid body drift of gyroscope average method |
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