| 关于非完整系统的两类运动方程 |
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| 引用本文： | 陈立群. 关于非完整系统的两类运动方程[J]. 鞍山科技大学学报, 1991, 0(4) |
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| 作者姓名： | 陈立群 |
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| 作者单位： | 鞍山钢铁学院机械系 |
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| 摘 要： | 应用Gauss变分原理给出Boltzmann-Hamel方程的一种简洁推导,证明了该方程与准坐标下广义Mac-Millan方程的等价性.并把Ghori方程推广到受非有势力作用的广义有势系统,证明了广义Ghori方程与广义Routh方程的等价性。
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| 关 键 词： | 非完整约束 非线性 Boltzmann-Hanel方程 Ghori方程 等价性 |
On Two Kinds of Motion Equations for Non-Holonomic Systems |
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| Chen Liqun Dept. of Mechanics Engineering. On Two Kinds of Motion Equations for Non-Holonomic Systems[J]. Journal of Anshan University of Science and Technology, 1991, 0(4) |
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| Authors: | Chen Liqun Dept. of Mechanics Engineering |
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| Affiliation: | Chen Liqun Dept. of Mechanics Engineering |
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| Abstract: | The Gauss variational principle is used to present a new simple demonstration of the Boltzmann-Hamel equations. The equivalence between the equations and the generalized Mac-Millan equationsin terms of quasi-coordinat is proven. The Ghori equations are extended to the generalized potentialsystems applied non-potential forces. The equivalence between the generalized Ghori equations andthe generalized Routh equations is illustrated. |
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| Keywords: | non-holonomic constriant nonlinearity the Boltzmann-Hamel equation the Ghori equation equivalence |
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