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机电系统Mei对称性导致的另一种守恒量

刘晓巍 李元成

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机电系统Mei对称性导致的另一种守恒量

刘晓巍, 李元成

Another kind of conserved quantity induced by Mei symmetry of mechanico-electrical system

Liu Xiao-Wei, Li Yuan-Cheng
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  • 研究机电系统Mei对称性导致的另一种守恒量.在群的无限小变换下,给出机电系统的Mei对称性的定义和判据,得到机电系统Mei对称性导致的另一种守恒量.举例说明结果的应用.
    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.
    • 基金项目: Project supported by the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No.JUSRP31102) and the National Natural Science Foundation of China (Grant No.61178032).
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    Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese) [梅凤翔 2003 物理学报 52 1048]

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    Zhang Y,Mei F X 2000 Chin. Sci. Bull. 45 1354

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    Mei F X 2000 J. Beijing Inst. Technol. 9 120

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    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 物理学报 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 物理学报 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 物理学报 56 5037]

  • [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 物理学报 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 物理学报 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 物理学报 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 物理学报 56 5037]

计量
  • 文章访问数:  7306
  • PDF下载量:  634
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-01-04
  • 修回日期:  2011-03-03
  • 刊出日期:  2011-11-15

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