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.
         
        
        
        
        
            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;
         
        
        
        
            Conference_Titel : 
Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on
         
        
            Conference_Location : 
Detroit, MI
         
        
            Print_ISBN : 
0-7803-1760-2
         
        
        
            DOI : 
10.1109/MWSCAS.1993.343389