| 带有转动附件的多柔体簇系统动力学拟变分原理及其应用 |
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| 引用本文： | 赵淑红,梁立孚.带有转动附件的多柔体簇系统动力学拟变分原理及其应用[J].哈尔滨工业大学学报,2011(Z1):175-181. |
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| 作者姓名： | 赵淑红 梁立孚 |
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| 作者单位： | 东北农业大学工程学院;哈尔滨工程大学力学一级学科博士点 |
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| 基金项目： | 国家自然科学基金(10272034);博士点基金(20060217020)资助项目 |
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| 摘 要： | 应用混合坐标法对多柔体簇系统进行运动学描述,得到附件和根体的动能,建立带有转动附件多柔体簇系统动力学拟变分原理.并推导其拟驻值条件对变分原理进行检验.最后,应用多柔体簇系统动力学拟Hamilton原理的拟驻值条件建立具有两个相同且对称安装的挠性附件的空间飞行器附件振动微分方程.
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| 关 键 词： | 多柔体簇系统 动力学 拟变分原理 转动附件 非保守系统 |
Quasi-variational principles of flexible multi-body cluster system dynamics with annex of rotational movement and their applications |
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| ZHAO Shu-hong,LIANG Li-fu.Quasi-variational principles of flexible multi-body cluster system dynamics with annex of rotational movement and their applications[J].Journal of Harbin Institute of Technology,2011(Z1):175-181. |
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| Authors: | ZHAO Shu-hong LIANG Li-fu |
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| Affiliation: | 1.Engineering College,Northeast Agricultural University,Harbin 150030,China; 2.A Doctoral Disciplines of Mechanics,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | Kinematics of flexible multi-body cluster system is described according to mixed coordinate method.Kinetic energy of the annex and the root body is obtained.Then quasi-variational principle of flexible multi-body cluster system dynamics with the annex of rotational movement is established.Through the deduction of quasi-stationary value condition of quasi-variational principles,quasi-variational principles have been tested.Finally,according to quasi-stationary value condition of Hamilton principle flexible multi-body cluster system dynamics,vibration differential equation of annex of spacecraft is established. |
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| Keywords: | flexible multi-body cluster system dynamics quasi-variational principles annex of rotational movement non-conservative system |
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