| 关于弹性细杆力学的内约束 |
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| 引用本文： | 薛纭,王鹏,翁德玮.关于弹性细杆力学的内约束[J].动力学与控制学报,2012,10(3):209-212. |
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| 作者姓名： | 薛纭 王鹏 翁德玮 |
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| 作者单位： | 上海应用技术学院机械工程学院,上海 201418;上海大学上海市应用数学和力学研究所,上海 200072;新疆师范大学物理系,乌鲁木齐 830054;上海大学上海市应用数学和力学研究所,上海 200072;上海应用技术学院机械工程学院,上海 201418 |
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| 基金项目： | 国家自然科学基金资助项目(10972143) |
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| 摘 要： | 讨论了弹性细杆力学的变形几何方程在静力学建模中的地位和作用,阐明了它与非完整约束的异同;指出了只有满足物理条件的解才是物理上有意义的解.结论对弹性细杆动力学仍然适用.
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| 关 键 词： | 弹性细杆力学 变形几何方程 内约束 非完整约束 位形的物理条件 |
| 收稿时间： | 2012/4/11 0:00:00 |
| 修稿时间： | 2012/6/20 0:00:00 |
On the internal constraint of the thin elastic rod mechanics |
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| Xue Yun,Wang Peng and Weng Dewei.On the internal constraint of the thin elastic rod mechanics[J].Journal of Dynamics and Control,2012,10(3):209-212. |
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| Authors: | Xue Yun Wang Peng and Weng Dewei |
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| Affiliation: | Xue Yun Wang Peng Weng Dewei (1. School of Mechanical Engineering, Shanghai Institute of Technology,Shanghai 201418, China ;2. Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China ) |
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| Abstract: | The paper discusses the role and influence of the geometric equation of deformation of elastic rod mechanics in the modeling of statics, and explains similarities and differences between this deformation equation and nonholonomic constraint in analytical dynamics. It is indicated that only the solutions of the equation satisfying the physical conditions of the rod are meaningful. The conclusions are also valid in the condition of elastic rod dynamics. |
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| Keywords: | mechanics of thin elastic rod geometrical equation of deformation internal constraints nonholonomic constraints physical conditions of the elastic rod |
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