| 旋转运动中弹性梁耦合振动的辛方法 |
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| 引用本文： | 马国军,徐新生,郭杏林. 旋转运动中弹性梁耦合振动的辛方法[J]. 计算力学学报, 2004, 21(6): 671-677 |
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| 作者姓名： | 马国军 徐新生 郭杏林 |
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| 作者单位： | 大连理工大学,工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116024;大连理工大学,工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116024;大连理工大学,工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116024 |
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| 基金项目： | 国家自然科学基金(19902014，10272024)资助项目. |
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| 摘 要： | 研究旋转梁结构的弹性耦合振动问题。通过引入对偶体系，建立了解决该类问题的辛方法。在辛体系中描述旋转梁纵向和横向耦合振动控制方程，即哈密顿正则方程。进一步求解得到结构的固有振动频率及相应的振动模态，发现固有振动频率随转动角速度先升后降以及模态之间的某种转化规律。
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| 关 键 词： | 对偶体系 辛几何 耦合振动 旋转梁 |
| 文章编号： | 1007-4708(2004)06-0671-07 |
| 修稿时间： | 2002-04-17 |
A symplectic method for the coupling vibration of elastic beams in the revolution system |
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| Ma Guojun,Xu Xinsheng,Guo Xinglin pment and. A symplectic method for the coupling vibration of elastic beams in the revolution system[J]. Chinese Journal of Computational Mechanics, 2004, 21(6): 671-677 |
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| Authors: | Ma Guojun Xu Xinsheng Guo Xinglin pment and |
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| Affiliation: | Ma Guojun,Xu Xinsheng~,Guo Xinglin pment and Department of Engineering Mechanics,Dalian University of Technology,Dalian,China |
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| Abstract: | The problem of the coupling vibration of elastic beams in the revolution system is studied in the present paper. A symplectic method is established by introducing a duality system. In symplectic system, coupling control equations of longitudinal and transverse vibrations, i.e. Hamiltonian duality equations, are described. The intrinsic frequency and correlated model are obtained. Some phenomena and rules of the coupling vibration of the rotating beams are revealed between transformations of the mode shapes of various orders. It is also found that natural frequencies are firstly increased then decreased concerning the angular velocities. |
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| Keywords: | duality system symplectic space coupling vibration revolution beam |
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