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D'alembert principle in the velocity space

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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).

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Communicated by Ye Qingkai

Foundation item: the Foundation of Human Provincial Educational Committee for Young Teachers

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Kehui, S., Jianguo, T. D'alembert principle in the velocity space. Appl Math Mech 20, 1031–1037 (1999). https://doi.org/10.1007/BF02459067

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  • DOI: https://doi.org/10.1007/BF02459067

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