Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

doi:10.1088/1674-1056/19/3/030305

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30305-030305.doi: 10.1088/1674-1056/19/3/030305

Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

罗绍凯¹, 杨新芳², 贾利群², 崔金超²

(1)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (2)School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2009-07-12 修回日期:2009-08-25 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10572021) and the Preparatory Research Foundation of Jiangnan University, China (Grant No. 2008LYY011).

Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

Yang Xin-Fang(杨新芳)^a), Jia Li-Qun(贾利群)^a)^†, Cui Jin-Chao(崔金超)^a), and Luo Shao-Kai(罗绍凯)^b)

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received:2009-07-12 Revised:2009-08-25 Online:2010-03-15 Published:2010-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10572021) and the Preparatory Research Foundation of Jiangnan University, China (Grant No. 2008LYY011).

摘要/Abstract

摘要： Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic, non-conservative system of Chetaev's type with variable mass are studied. The differential equations of motion of the Nielsen equation for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

Abstract: Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic, non-conservative system of Chetaev's type with variable mass are studied. The differential equations of motion of the Nielsen equation for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

Key words: variable mass, Nielsen equation, Mei symmetry, Mei conserved quantity

中图分类号: (Forces and torques)

45.20.da

02.30.Jr (Partial differential equations)

杨新芳, 贾利群, 崔金超, 罗绍凯. Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass[J]. 中国物理B, 2010, 19(3): 30305-030305.

Yang Xin-Fang(杨新芳), Jia Li-Qun(贾利群), Cui Jin-Chao(崔金超), and Luo Shao-Kai(罗绍凯). Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass[J]. Chin. Phys. B, 2010, 19(3): 30305-030305.

参考文献 27

[1]	Noether A E 1918 Nachr. Akad. Wiss. G?ttingen. Math. Phys. KI, II 235
[2]	Santilli R M 1983 Foundations of Theoretical Mechanics II (NewYork: Springer Verlag)
[3]	Mei F X 2000 Acta Phys. Sin. 49 1207 (in Chinese)
[4]	Ge W K 2002 Acta Phys. Sin. 51 1156 (in Chinese)
[5]	Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese)
[6]	Jia L Q and Zheng S W 2006 Acta Phys. Sin. 55 3829(in Chinese)
[7]	Zheng S W, Jia L Q and Yu H S 2006 Chin. Phys. 15 1399
[8]	Luo S K and Zhang Y F 2008 Advances in the Study ofDynamics of Constrained Systems (Beijing: Science Press) (inChinese)
[9]	Luo S K 2002 Commun. Theor. Phys. 38 0257
[10]	Zhang H B and Gu S L 2002 Chin. Phys. 11 765
[11]	Luo S K and Guo Y X 2007 Commun. Theor. Phys. 47 25
[12]	Jia L Q, Luo S K and Zhang Y Y 2008 Acta Phys. Sin.57 2006 (in Chinese)
[13]	Ge W K 2007 Acta Phys. Sin. 56 0001 (in Chinese)
[14]	Zhang Y and Fan C X 2007 Commun. Theor. Phys. 47 607
[15]	Jia L Q, Xie J F and Zheng S W 2008 Chin. Phys. B 170017
[16]	Guo Y X, Zhao Z, Liu S X and Liu C 2008 Acta Phys. Sin.57 1301 (in Chinese)
[17]	Li Y C, Xia L L, Liu B, Jiao Z Y and Wang X M 2008 Chin. Phys. B 17 1545
[18]	Cai J L, Luo S K and Mei F X 2008 Chin. Phys. B 173170
[19]	Cui J C, Jia L Q and Zhang Y Y 2009 Commun. Theor.Phys. 52 7
[20]	Xu X J, Mei F X and Qin M C 2004 Chin. Phys. 13 1999
[21]	Mei F X 1991 Advanced Analytical Mechanics (Beijing:Beijing Institute of Technology Press) (in Chinese)
[22]	Wang S Y and Mei F X 2001 Chin. Phys. 10 373
[23]	Fang J H, Xue Q Z and Zhao S Q 2002 Acta Phys. Sin.51 2183 (in Chinese)
[24]	Fang J H and Zhao S Q 2002 Chin. Phys. 11 445
[25]	Qiao Y F, Zhao S H and Li R J 2004 Chin. Phys. 13 0292
[26]	Jia L Q, Xie J F and Luo S K 2008 Chin. Phys. B 171560
[27]	Cui J C, Zhang Y Y and Jia L Q 2009 Chin. Phys. B 18 1731

Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

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