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Another kind of conserved quantity deduced from Mei symmetry of mechanico-electrical system is studied. Under the infinitesimal transformation of groups, another kind of conserved quantity of Mei symmetry of mechanico-electrical system is obtained from the definition and the criterion of Mei symmetry of mechanico-electrical system. Finally, an example is given to illustrate the application of the result.
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Keywords:
- mechanico-electrical systems /
- Mei symmetry /
- conserved quantity
[1] Noether A E 1918 Nachr. Akad. Wiss. Göttingen Math. Phys. KI ,Ⅱ 235
[2] Vujanovi ć B 1986 Acta Mech. 65 63
[3] Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese) [梅凤翔 2003 52 1048]
[4] Fu J L, Chen L Q 2003 Chin. Phys. 12 695
[5] Chen X W,Mei F X 2000 Chin. Phys. 9 721
[6] Zhang Y,Mei F X 2000 Chin. Sci. Bull. 45 1354
[7] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[8] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量(北京:北京理工大学出版社)]
[9] Luo S K,Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese) [罗绍凯、张永发 2008 约束系统动力学研究进展(北京:科学出版社)]
[10] Jia L Q,Xie J F,Luo S K 2008 Chin. Phys. B 17 1560
[11] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese) [葛伟宽 2008 57 6714]
[12] Wang P,Fang J H,Wang X M 2009 Chin. Phys. B 18 1312
[13] Cai J C,Zhang Y Y,Jia L Q 2009 Chin. Phys. B 18 1731
[14] Yang X F,Jia L Q,Cui J C,Luo S K 2010 Chin. Phys. B 19 030305
[15] Cui J C,Zhang Y Y,Yang X F,Jia L Q 2010 Chin. Phys. B 19 030304
[16] Fu J L,Chen X W,Luo S K 1998 J. Elect. Power 13 233(in Chinese) [傅景礼、陈向炜、罗绍凯 1998 电力学报 13 233]
[17] Li Y C,Xia L L,Wang X M 2009 Acta Phys.Sin.58 6732 (in Chinese) [李元成、夏丽莉、王小明 2009 58 6732]
[18] Li Y C,Xia L L,Wang X M 2009 Chin.Phys.18 4643
[19] Li Y C, Xia L L, Zhao W, Hou Q B, Wang J, Jing H X 2007 Acta Phys.Sin.56 5037(in Chinese) [李元成、夏丽莉、赵 伟、后其宝、王 静、荆宏星 2007 56 5037]
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[1] Noether A E 1918 Nachr. Akad. Wiss. Göttingen Math. Phys. KI ,Ⅱ 235
[2] Vujanovi ć B 1986 Acta Mech. 65 63
[3] Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese) [梅凤翔 2003 52 1048]
[4] Fu J L, Chen L Q 2003 Chin. Phys. 12 695
[5] Chen X W,Mei F X 2000 Chin. Phys. 9 721
[6] Zhang Y,Mei F X 2000 Chin. Sci. Bull. 45 1354
[7] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[8] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量(北京:北京理工大学出版社)]
[9] Luo S K,Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese) [罗绍凯、张永发 2008 约束系统动力学研究进展(北京:科学出版社)]
[10] Jia L Q,Xie J F,Luo S K 2008 Chin. Phys. B 17 1560
[11] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese) [葛伟宽 2008 57 6714]
[12] Wang P,Fang J H,Wang X M 2009 Chin. Phys. B 18 1312
[13] Cai J C,Zhang Y Y,Jia L Q 2009 Chin. Phys. B 18 1731
[14] Yang X F,Jia L Q,Cui J C,Luo S K 2010 Chin. Phys. B 19 030305
[15] Cui J C,Zhang Y Y,Yang X F,Jia L Q 2010 Chin. Phys. B 19 030304
[16] Fu J L,Chen X W,Luo S K 1998 J. Elect. Power 13 233(in Chinese) [傅景礼、陈向炜、罗绍凯 1998 电力学报 13 233]
[17] Li Y C,Xia L L,Wang X M 2009 Acta Phys.Sin.58 6732 (in Chinese) [李元成、夏丽莉、王小明 2009 58 6732]
[18] Li Y C,Xia L L,Wang X M 2009 Chin.Phys.18 4643
[19] Li Y C, Xia L L, Zhao W, Hou Q B, Wang J, Jing H X 2007 Acta Phys.Sin.56 5037(in Chinese) [李元成、夏丽莉、赵 伟、后其宝、王 静、荆宏星 2007 56 5037]
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