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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (3): 285-298.

• 论文 • 上一篇    下一篇

ROUTH'S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS

罗耀煌1, 赵永达2   

  1. 1. Yunnan University, Kunming;
    2. Yunnan Institute of Education, Kunming
  • 收稿日期:1989-12-26 出版日期:1993-03-18 发布日期:1993-03-18

ROUTH'S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS

Luo Yao-huang1, Zhao Yong-da 2   

  1. 1. Yunnan University, Kunming;
    2. Yunnan Institute of Education, Kunming
  • Received:1989-12-26 Online:1993-03-18 Published:1993-03-18

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摘要： In this paper, Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics.And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh’s equations.

关键词: Routh’s equations, variable mass system, nonholonomic constraint, noninertial reference system

Abstract: In this paper, Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics.And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh’s equations.

Key words: Routh’s equations, variable mass system, nonholonomic constraint, noninertial reference system

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