| 非完整系统分析动力学中的几个重要问题 |
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| 引用本文： | 梁立孚 石志飞. 非完整系统分析动力学中的几个重要问题[J]. 应用数学和力学, 1993, 14(12): 1057-1067 |
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| 作者姓名： | 梁立孚 石志飞 |
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| 作者单位： | 1.哈尔滨船舶工程学院; |
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| 摘 要： | 本文从变分原理和分析约束的力学性质两个方面入手,首次用演绎法推导出Chetaev条件,并且进行了验证,指出认为对非完整系统分析动力学d-δ交换性不成立的观点实际上是一种误解.在此基础上,首次提出非完整系统分析动力学中的两个经典关系.最后,进一步讨论了积分变分原理应用于非完整系统的问题.
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| 关 键 词： | 分析动力学 变分原理 非完整系统 演绎法 Chetaev条件 |
| 收稿时间： | 1992-09-12 |
On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems |
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| Liang Li-fu. On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1057-1067 |
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| Authors: | Liang Li-fu |
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| Affiliation: | 1.Harbin Shipbuilding Engineering Institute, Harbin;2.Harbin Institute of Technology, Harbin |
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| Abstract: | By using the deductive method, Checaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The papar gives two classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holoaomic systems. |
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| Keywords: | analytical dynamics variational principle non-holonomic systems the deductive method Chetaev condition constraint force |
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