| Vacco运力学的Lie对称性和守恒量 |
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| 引用本文： | 张宏彬.Vacco运力学的Lie对称性和守恒量[J].青岛大学学报(自然科学版),2001,14(1):34-39. |
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| 作者姓名： | 张宏彬 |
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| 作者单位： | 巢湖师专物理系,安徽,巢湖,238000 |
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| 摘 要： | 本文用Lie方法研究了不对虚位移附加任何限制条件的非完整系统的对称性和守恒量。由微分方程在无限小变换下的不变性，建立了系统的确定方程，得到了结构方程和守恒量，并研究了该系统Lie对称性逆问题，最后给出实例说明结果的应用。
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| 关 键 词： | 分析力学 Vacco动力学 Lie对称性 守恒量 非完整系统 非完整力学 |
| 文章编号： | 1006-1037(2001)01-0034-06 |
| 修稿时间： | 2001年2月12日 |
LIE SYMMETRIES AND CONSERVED QUANTITIES OF VACCO DYNAMICS |
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| ZHANG Hong-bin.LIE SYMMETRIES AND CONSERVED QUANTITIES OF VACCO DYNAMICS[J].Journal of Qingdao University(Natural Science Edition),2001,14(1):34-39. |
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| Authors: | ZHANG Hong-bin |
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| Abstract: | In this paper, the Lie symmetries and the conserved quantities of the nonholonomic dynamical systems without any additional restrictive condition to its virtual displacement are studied. By using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of the systems are established, and the structure equations and the conserved quantities are given. And the inverse problem of Lie symmetries of the systems is also studied. An example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics Vacco dynamics Lie symmetry Conserved quantity |
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