| 大范围运动空间梁的耦合动力学模型 |
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| 引用本文： | 刘锦阳,洪嘉振. 大范围运动空间梁的耦合动力学模型[J]. 上海交通大学学报, 2003, 37(4): 532-534 |
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| 作者姓名： | 刘锦阳 洪嘉振 |
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| 作者单位： | 上海交通大学建筑工程与力学学院,上海,200030 |
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| 基金项目： | 国家自然科学基金重点资助项目(19832040)，博士点基金资助项目 ( 2 0 0 0 0 2 4818) |
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| 摘 要： | 从连续介质力学原理出发，对作大范围运动的空间梁建立耦合动力学模型．在纵向变形中计及了变形位移的二次耦合变形量，基于Jourdain速度变分原理导出作大范围运动的空间梁的动力学方程．将耦合动力学模型的仿真计算结果与不计二次耦合变形量传统的建模理论进行比较表明，在大范围运动的侧向角速度和浮动基基点的纵向加速度较大的情况下，二次耦合变形量对系统的刚—柔耦合动力学性质产生一定的影响．
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| 关 键 词： | 大范围运动 空间梁 耦合动力学 侧向角速度 纵向加速度 |
| 文章编号： | 1006-2467(2003)04-0532-03 |
| 修稿时间： | 2002-05-20 |
Coupling Dynamic Modeling of the Spatial Beam Undergoing Large Overall Motions |
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| LIU Jin yang,HONG Jia zhen. Coupling Dynamic Modeling of the Spatial Beam Undergoing Large Overall Motions[J]. Journal of Shanghai Jiaotong University, 2003, 37(4): 532-534 |
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| Authors: | LIU Jin yang HONG Jia zhen |
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| Abstract: | The coupling dynamic model of a spatial beam undergoing large overall motions was established based on continuum medium mechanics. The second order coupling terms of deformation were included in the longitudinal deformation. The coupling dynamic equations of the spatial beam undergoing large overall motions were obtained by use of Jourdain's velocity variational principle. The simulation results obtained by use of the coupling model were compared with those obtained by use of the conventional model, in which the coupling terms of deformation are neglected. It was shown that the coupling terms of deformation may have significant effect on the dynamic characteristics of the system in the case of high lateral rotating speed and large longitudinal base acceleration. |
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| Keywords: | large overall motions spatial beam coupling dynamics lateral rotating speed longitudinal base acceleration |
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