| 论Vacco模型与Chetaev模型之间的关系 |
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| 引用本文： | 梁立孚,梁忠伟.论Vacco模型与Chetaev模型之间的关系[J].固体力学学报,1994,15(4):289-295. |
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| 作者姓名： | 梁立孚 梁忠伟 |
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| 作者单位： | 哈尔滨工程大学 |
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| 摘 要： | 本文在深入研究非完整约束的几何性质和力学性质的基础上：（１）应用经典的Ｈａｍｉｌｔｏｎ原理推导出Ｖａｃｃｏ方程；（２）在Ｖａｃｃｏ方程的基础上，应用判定理想约束的力学原理，推导出Ｃｈｅｔａｅｖ条件，实现了从Ｖａｃｃｏ模型向Ｃｈｅｔａｅｖ模型的过渡；（３）论证了Ｖａｃｃｏ模型与Ｃｈｅｔａｅｖ模型是相辅相成的，从而统一了这两种模型。
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| 关 键 词： | 非完整约束 Chetaev条件 Vacco方程 分析力学 |
ON THE RELATIONSHIP BETWEEN VACCO MODEL AND CHETAEV MODEL |
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| Liang Lifu, Liang Zhongwei.ON THE RELATIONSHIP BETWEEN VACCO MODEL AND CHETAEV MODEL[J].Acta Mechnica Solida Sinica,1994,15(4):289-295. |
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| Authors: | Liang Lifu Liang Zhongwei |
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| Abstract: | In this paper, the geometric property and the mechanical property of non-holonomic constraints is studied. Vacco equation is obtained by using classical Hamilton principle. On the basis of Vacco equation, Chetaev condition is obtained by using the mechanical principle of deciding ideal constraint. Finally it points out that Vacco model is competible with Chetaev model, so these two kinds of models are unified. |
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| Keywords: | non-holonomic systems Chetaev condition Vacco equation geometric property of constraint mechanical property or constraint |
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