| 准轴对称陀螺体自激运动的平均化分析 |
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| 引用本文： | 薛纭,陈立群.准轴对称陀螺体自激运动的平均化分析[J].上海大学学报(英文版),2002,6(2):125-129. |
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| 作者姓名： | 薛纭 陈立群 |
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| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China；ShanghaiInstituteofTechnology,CaobaoRoad120,Shanghai200233,China [2]ShanghaiInstituteofAppliedMathematicsandMech,ShanghaiUniversity,Shanghai200072,China；ShanghaiInstituteofTechnology,CaobaoRoad120,Shanghai200233,China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 10 0 82 0 0 3)andtheMunicipalDevelopmentFoundationofScienceandTechnology ( 98JC14 0 32 ) |
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| 摘 要： | The averaging analysis was carried out to study the motion of a quasi-axisymmetrical gyrostat under a small-magnitude self-excited control troque.The common approach to investigating the problem of rigid body rotatyion under the action of a small torque known in the body frame was described.Using this approach,the problem(Grammel‘s problem for the case of small torque) that is maintaining the angular velocity of a quasi-axisymmetrical gyrostat using a control torque quadratic in the angular velocity was solved.Maintaining the angular velocity of a quasi-axisymmetrical gryostat using a control torque quadratic in the angular velocity was solved.
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| 关 键 词： | 刚体转动 准轴对称陀螺 自激活运动 平均分析 |
| 收稿时间： | 6 September 2001 |
Averaging analysis of self-excited motion of a quasi-axisymmetrical gyrostat |
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| Yun Xue Ph. D. Candidate,Li-Qun Chen.Averaging analysis of self-excited motion of a quasi-axisymmetrical gyrostat[J].Journal of Shanghai University(English Edition),2002,6(2):125-129. |
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| Authors: | Yun Xue Ph D Candidate Li-Qun Chen |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China；Shanghai Institute of 7echnology, Caobao Road 120, Shanghai 200233, China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | The averaging analysis was carried out to study the motion of a quasi axisymmetrical gyrostat under a small magnitude self excited control torque. The common approach to investigating the problem of rigid body rotation under the action of a small torque known in the body frame was described. Using this approach, the problem (Grammel's problem for the case of small torque) that is maintaining the angular velocity of a quasi axisymmetrical gyrostat using a control torque quadratic in the angular velocity was solved. |
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| Keywords: | gyrostat self excited motion averaging method phase trajectories |
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