Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 585-587.

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THE METHOD OF DERIVATION OF MAC-MILLAN’S EQUATION FOR THE NON-LINEAR NON-HOLONOMIC SYSTEM

Qiu Rong   

  1. Department of Physics, Fuzhou University, Fuzhou 350002, P. R. China
  • Received:1995-02-22 Revised:1995-11-06 Online:1996-06-18 Published:1996-06-18

Abstract: The Mac-Millan’s equation for the non-linear non-holongmic system in one order is derived by using only principle of differential variation of Jourdain. Therefore definition of Niu Qinping for the virtual displacentent is unnecessary. This is the natural deduetion of the method in this paper and so with the non-linear and non holonomic system in high order.

Key words: non-linear and non-holonomic systemMac-Millan’s equation, definition of Niu Qinpingvirtual displacement

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