| 刚体-柔性梁系统的撞击动力学分析 |
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| 引用本文： | 方建士,章定国.刚体-柔性梁系统的撞击动力学分析[J].南京理工大学学报(自然科学版),2006,30(4):404-408,413. |
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| 作者姓名： | 方建士 章定国 |
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| 作者单位： | 南京理工大学,理学院,江苏,南京,210094 |
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| 基金项目： | 江苏省南京市留学回国人员科技活动择优基金;南京理工大学校科研和教改项目;南京理工大学校科研和教改项目 |
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| 摘 要： | 该文研究了刚体-柔性梁系统作大范围旋转运动时的撞击动力学问题。采用子系统法建立了考虑“动力刚化”效应的系统刚柔耦合动力学方程，并采用假设模态描述变形，将偏微分形式的动力学方程转化为常微分方程。基于系统的动力学方程导出撞击时系统的广义冲量-动量方程，与撞击恢复系数方程相结合求出撞击动力学响应。文中给出了算例，验证了该文方法，并对大范围旋转运动下的刚体-柔性梁系统的动力学进行了探讨。
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| 关 键 词： | 柔性梁 子系统法 假设模态法 撞击动力学 恢复系数 |
| 文章编号： | 1005-9830（2006）04-0404-05 |
| 收稿时间： | 2006-02-26 |
| 修稿时间： | 2006-02-262006-06-20 |
Impact Dynamics of Flexible Hub-Beam System |
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| FANG Jian-shi,ZHANG Ding-guo.Impact Dynamics of Flexible Hub-Beam System[J].Journal of Nanjing University of Science and Technology(Nature Science),2006,30(4):404-408,413. |
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| Authors: | FANG Jian-shi ZHANG Ding-guo |
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| Institution: | School of Sciences, NUST, Nanjing 210094, China |
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| Abstract: | The impact dynamics of a rigid-flexible coupling system consisting of a rigid hub and a flexible beam is reported in this paper. A set of dynamic equations with the dynamic stiffening effects is established by utilizing the subsystem method. The approach of assumed modes is used to describe the deformation of the beam, and subsequently the partial differential dynamic equations are changed to the form of ordinary differential equations. Based on the obtained dynamic equations, the generalized impulse-momentum equations with the equation involving coefficient of restitution are derived to solve the dynamic response for impact. To validate the method presented in this paper, the dynamic simulation of the hub-beam system involving impact with a horizontal rigid plane is given as an example. |
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| Keywords: | flexible beam subsystem method approach of assumed modes impact dynamics coefficient of restitution |
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