FANG Jian-hui. The Conservation Law of Nonholonomic System of Second-Order Non-Chetave’s Type in Event Space[J]. Applied Mathematics and Mechanics, 2002, 23(1): 82-86.
Citation: FANG Jian-hui. The Conservation Law of Nonholonomic System of Second-Order Non-Chetave’s Type in Event Space[J]. Applied Mathematics and Mechanics, 2002, 23(1): 82-86.

The Conservation Law of Nonholonomic System of Second-Order Non-Chetave’s Type in Event Space

  • Received Date: 2000-06-25
  • Rev Recd Date: 2001-10-09
  • Publish Date: 2002-01-15
  • The conservation law of nonholonomic system of second-order non-Chataev's type in event space is studied.The Jourdain's principle in event space is presented.The invariant condition of the Jourdain's principle under infinitesimal transformation is given by introducing Jourdain's generators in event space.Then the conservation law of the system in event space is obtained under certain conditions.Finally a calculating example is given.
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  • [1]
    Noetther A E.Invariante variatoon problt[J].Nachr Akad Wiss Gottingen Math Phgls,1918(KIII):235-257.
    [2]
    Vujanovic B.Comervation laws of dynamical systems via D'Aalembert principle[J].IntJNonLinear Mech, 1978,13:185-197.
    [3]
    Vujanovic B.A study of conservation laws of dynamial systems by means of the differential variational principle of Joundain and Gauss[J].Acta Mechanica, 1986,65:63-80.
    [4]
    李子平.经典和量子约束系统及其对称性质[M].北京:北京工业大学出版社,1993.
    [5]
    梅凤翔.利用Jourdain原理研究二阶非完整系统的守恒律[J].北京理工大学学报,1998,18(1):17-21.
    [6]
    刘端.非完整非保守动力学系统的守恒律[J].力学学报,1989,21(1):75-83.
    [7]
    刘端.非完整非保守动力学系统的Noether定理及其逆定理[J].中国科学,A辑,1990,20(11):1189-1197.
    [8]
    张解放.Vacco动力学的Noether理论[J].应用数学和力学,1993,14(7):635-641.
    [9]
    赵跃宇,梅凤翔.关于力学系统的对称性与不变量[J].力学进展,1993,23(3):360-372.
    [10]
    WU Run-hong, MEI Feng-xiang.On the Lie symmetriies of the nonholononnic mechanical systems [J].J of BIT, 1997,6(3):229-235.
    [11]
    梅凤翔,吴润衡,张永发.非Четаев型非完整系统的Lie对称性与守恒量[J].力学学报,1998,30(4):468-474.
    [12]
    MEI Feng-xiang.Parametric equations of nonholonmic nonconservative systems in the event spacend the method of their integration[J].Acta Mechanica Sinica, 1990,6(2): 160-168.
    [13]
    梅凤翔,刘端,罗勇.高等分析力学[M].北京:北京理工大学出版社,1991,76,360-365.
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