| 动量矩变量描述的陀螺体永久转动的分岔特性 |
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| 引用本文： | 刘延柱.动量矩变量描述的陀螺体永久转动的分岔特性[J].上海力学,1998,19(4):305-309. |
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| 作者姓名： | 刘延柱 |
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| 作者单位： | 上海交通大学 上海 |
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| 基金项目： | 国家自然科学基金(19782003)，国家教委博士点专项科研基金(9524831) |
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| 摘 要： | 本文建立以动量矩分量和Ｄｅｐｒｉｔ正则变量为独立变量的陀螺体动力学方程，用以描述无力矩非对称陀螺体的姿态运动。在动量矩空间内讨论了陀螺体永久转动轴的数目和稳定性随转子转速变化的分岔特性。
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| 关 键 词： | 陀螺体 分岔 运动稳定性 正则方程 动量矩 |
THE BIFURCATION BEHAVIOR OF THE PERMANENT ROTATION OF A GYROSTAT DESCRIBED BY THE VARIABLES OF ANGULAR MOMENTUM |
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| Liu Yanzhu.THE BIFURCATION BEHAVIOR OF THE PERMANENT ROTATION OF A GYROSTAT DESCRIBED BY THE VARIABLES OF ANGULAR MOMENTUM[J].Chinese Quarterly Mechanics,1998,19(4):305-309. |
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| Authors: | Liu Yanzhu |
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| Abstract: | In present paper the dynamical equations of a gyrostat are established by using the components of angular momentum and the Deprit canonical variables as independent variables. The attitude , otion of a torque-free asymmetrical gyrostat is analysed, and the bifurcation behavior of number and stability of permanent rotation axes of gyrostat as the rotor speed increases is discussed in the space of angular momentum. |
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| Keywords: | gyrostat bifurcation theory of stability canonical equations |
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