Mei Feng-xiang. Extension of the Whittaker Equations to Non Holonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1984, 5(1): 61-66.
Citation: Mei Feng-xiang. Extension of the Whittaker Equations to Non Holonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1984, 5(1): 61-66.

Extension of the Whittaker Equations to Non Holonomic Mechanical Systems

  • Received Date: 1983-01-24
  • Publish Date: 1984-02-15
  • In 1904,using the energy integral Whittaker studied the redaction of a dynamical problem to a problem with fewer degrees of freedom for the holonomic conservative systems and obtained the Whittaker equations[1].In this articfe, the Whittaker equations are extended to non-holonomic systems and the generalized Whittaker equations are obtained And then these equations are transformed to Nielsen's form. Finally an example a given.
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  • [1]
    Whittaker,E,T.A Treatise on the Anahtical Dgnamics of Particles and Rigid Bodies,Combrige University Press(1965)
    [2]
    Четаев,Н.Г.,О П рцнчцпе Даусса,Изв,Мат.,Coc,6(1933),68-71.
    [3]
    Новоселов,В.С.,ВарцачцоннЫе Мемобы э Механцке,Ленинград(1966).
    [4]
    梅凤翔.非完整系统力学中的交换关系,力学与实践,1,3(1979)
    [5]
    Mei Feng-siang,Nouvelles,quations du mouvement des systèmes mėcaniques non-holonomes,These d'Etat,Mai(1982),Nantes,France
    [6]
    Losco.L.M.Langlois,Seminaires de 1'Universitėde Zürich.Ivlai-Juin(1981)
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