Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 1031-1037.

• Articles • Previous Articles     Next Articles

D’ALEMBERT PRINCIPLE IN THE VELOCITY SPACE

Song Kehui1, Tang Jianguo 2   

  1. 1. Department of Physics, Huaihua Teachers College, Huaihua 418008, P. R. China;
    2. Department of Physics, East China Normal University, Shanghai 200062, P. R. China
  • Received:1998-04-08 Revised:1999-01-22 Online:1999-09-18 Published:1999-09-18
  • Supported by:

    the Foundation of Hunan Provincial Educational Com mittee for You Teachers

Abstract: According to Newton’s dynamical equation of the system of particles, the force is considered to be the function of the coordinate r, velocity r and time t, and the various formulae for D’Alembert principle of the velocity space in both the holonomic and nonholonomic systems are deduced by introducing the concept of kinetic energy in the velocity space (i.e. the accelerated energy).

Key words: Newton’s dynamical equation, accelerated energy, velocity space, D’Alembert principle

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals