| 两柔性梁碰撞振动的非相似模态 |
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| 引用本文： | 金栋平,胡海岩. 两柔性梁碰撞振动的非相似模态[J]. 航空学报, 1998, 19(3): 357-360 |
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| 作者姓名： | 金栋平 胡海岩 |
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| 作者单位： | 南京航空航天大学振动工程研究所, 南京, 210016 |
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| 基金项目： | 国家自然科学基金,国家教委跨世纪优秀人才基金 |
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| 摘 要： | 研究以Hertz接触模型描述的两柔性梁的碰撞振动，通过坐标变换将系统投影到环面上分析其模态动力学问题，揭示碰撞模态呈现非相似性质。
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| 关 键 词： | 碰撞振动 内共振 模态 |
| 收稿时间： | 1997-11-21 |
| 修稿时间： | 1998-02-18 |
DISSIMILAR MODES OF A PAIR OF IMPACTING FLEXIBLE BEAMS |
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| Jin Dongping,Hu Haiyan. DISSIMILAR MODES OF A PAIR OF IMPACTING FLEXIBLE BEAMS[J]. Acta Aeronautica et Astronautica Sinica, 1998, 19(3): 357-360 |
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| Authors: | Jin Dongping Hu Haiyan |
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| Affiliation: | Institute of Vibration Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016 |
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| Abstract: | Unavoidable clearances exist in the space structure composed of elastic rods and beams so that the free vibro impacts between the flexible components occur when the structure is subject to any environmental disturbance. As a preliminary study, this paper deals with the free vibro impacts between two flexible beams. By means of the Hertz formula for contact force and the Galerkin approach, the pair of impacting beams is simplified to an impacting system of two degrees of freedom. After a series of transforms, the free vibro impact of the system is characterized by two variables spanning a torus. The numerical simulation showed that the nonlinear modes of the system do not keep the similarity when the vibro impacts become strong. |
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| Keywords: | vibro impact internal resonance mode |
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