| Euler弹性杆变形的研究 |
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| 引用本文： | 赵业鑫,王秀娥.Euler弹性杆变形的研究[J].中央民族大学学报(自然科学版),2005,14(4):293-296,318. |
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| 作者姓名： | 赵业鑫 王秀娥 |
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| 作者单位： | 1. 东南大学,数学系,江苏,南京,210096
2. 北京工商大学,基础部,北京,100037 |
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| 摘 要： | 研究一端固定一端自由Euler弹性杆在集中外力作用下的变形规律.根据变形弹性杆的几何特征和力学平衡条件,通过建立其变形的动力学模型和运动学模型,进而讨论模型的数值解、变形杆的形状以及相关的多解性和分岔.
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| 关 键 词： | 弹性变形 摆方程 相轨线 多解性与分支 |
| 文章编号： | 1005-8036（2005）04-0293-04 |
| 收稿时间： | 2005-06-01 |
| 修稿时间： | 2005-06-01 |
Study on Deformations of Euler's Elastic Rod |
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| ZHAO Ye-xin,WANG Xiu-e.Study on Deformations of Euler''''s Elastic Rod[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2005,14(4):293-296,318. |
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| Authors: | ZHAO Ye-xin WANG Xiu-e |
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| Institution: | 1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. Department of Basic Science, Beijing Technology and Business University, Beijing 100037, China |
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| Abstract: | The gripper structure and spring system in practical technology are abstracted as deformed elamped-free elastie rod. The motion equation of deformations of Euler elastie rod is established, aeeording to the geometrie form and the balanee eonditions of meehanies. The solutions of the mathematieal model, the form of the deformed elastie rod as well as the related multiplieity and the bifurcation of the solutions are obtained. |
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| Keywords: | elastic deformation pendulum equation phase orbit multiplicity and bifurcation |
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