| 变质量可控力学系统的广义Mac-Millan方程 |
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| 引用本文： | 陈立群,王铁光. 变质量可控力学系统的广义Mac-Millan方程[J]. 东北大学学报(自然科学版), 1992, 0(1) |
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| 作者姓名： | 陈立群 王铁光 |
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| 作者单位： | 鞍山钢铁学院(陈立群)，东北工学院(王铁光) |
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| 摘 要： | 本文利用Gauss 变分原理及加速度空间的广义虚位移关系把广义 Mac-Millan 方程推广到变质量可控力学系统,给出了相应方程的准坐标表述。在此基础上,根据 Nielsen 算子和 Euler 算子的关系得到了变质量可控力学系统的 Nielsen自然方程。最后分别证明了准坐标下变质量可控力学系统广义 Mac-Millan 方程和Appll 方程、Nielsen 自然方程与广义 Nielsen 方程的等价性。
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| 关 键 词： | Gauss变分原理 广义虚位移 Nielsen算子 |
Generalized Mac-Millan''''s Equations for Controllable Variable-Mass Systems |
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| Chen Liqun,Wang Tieguang. Generalized Mac-Millan''''s Equations for Controllable Variable-Mass Systems[J]. Journal of Northeastern University(Natural Science), 1992, 0(1) |
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| Authors: | Chen Liqun Wang Tieguang |
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| Affiliation: | Chen Liqun;Wang Tieguang |
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| Abstract: | With the Mac--Millan's equations extended to the controllable variable-mass sy-stems by means of Gaussian variational principle and the relationship betweengeneralized virtual displacements in acceleration space, a quasi-coordinateexpression is obtained correspondingly. Nielsen's natural equations are thusgiven for controllable variable--mass systems by virtue of the relation betweenNielsen's operator and Euler's operator. Finally, the equivalence of the general-ized Mac-Millan's equations to Appell's equations and that of Nielsen's naturalequations to generalized Nielsen's are proved,respectively,in system. |
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| Keywords: | Gaussian variational principle generalized virtual displacement Nielsen's operator |
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