| 非保守动力学系统的Noether定理的一个证明 |
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| 引用本文： | 张解放.非保守动力学系统的Noether定理的一个证明[J].宁波大学学报(理工版),1993(1). |
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| 作者姓名： | 张解放 |
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| 作者单位： | 浙江师范大学物理系 |
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| 摘 要： | 本文直接从动力学系统的Lagrange函数在无穷小变换下的变换性质出发,得到了完整非保守和非完整非保守的Noether定理。本文的方法具有优越性。
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| 关 键 词： | 力学系统 完整约束 非完整约束 Noethet定理 |
A PROOF OF NOETHER'S THEOREM OF NONCONSERVATIVE DYNAMIC SYSTEMS |
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| Zhang Jiefang.A PROOF OF NOETHER''''S THEOREM OF NONCONSERVATIVE DYNAMIC SYSTEMS[J].Journal of Ningbo University(Natural Science and Engineering Edition),1993(1). |
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| Authors: | Zhang Jiefang |
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| Abstract: | Gives a proof of the Noether's theorem of holonomic nonconservative systems and nonholonomic nonconservative systems from considering directly the transformation property of Lagrangian function for dynamic systems under the infinitesimal transformation. The proving method has some advantages. |
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| Keywords: | dynamic systems holonomic constraint nonholonomic constraint Noethcr' s theorem |
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