• DocumentCode
    2267569
  • Title

    Kane´s equations or Jourdain´s principle?

  • Author

    Piedboeuf, J.-C.

  • Author_Institution
    Dept. of Mech. Eng., R. Mil. Coll. of Canada, Kingston, Ont.
  • fYear
    1993
  • fDate
    16-18 Aug 1993
  • Firstpage
    1471
  • Abstract
    This paper discusses the relationships between Kane´s equations and Jourdain´s principle. In 1961 Kane published a paper: “Dynamics of Nonholonomic Systems”. The method detailed in that paper, since named Kane´s equations, has been popular in the modelling of mechanical systems especially in robotics. It was often stated that Kane´s equations were a novel way of modelling. However, in 1909, Jourdain published a paper titled “Note on an analogue of Gauss´ principle of least constraint” where he established the principle of virtual power that is equivalent to Kane´s equations
  • Keywords
    modelling; robot dynamics; Gauss´ principle; Jourdain´s principle; Kane´s equations; least constraint; mechanical systems modelling; nonholonomic systems; robotics; virtual power; Differential equations; Educational institutions; Gaussian processes; Jacobian matrices; Lagrangian functions; Mechanical engineering; Mechanical systems; Power system modeling; Robot kinematics; Terminology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on
  • Conference_Location
    Detroit, MI
  • Print_ISBN
    0-7803-1760-2
  • Type

    conf

  • DOI
    10.1109/MWSCAS.1993.343389
  • Filename
    343389