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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 421-424.

• 论文 •    下一篇

LAGRANGE EQUATION OF A CLASS OF NONHOLONOMIC SYSTEMS

高普云1, 郭仲衡2   

  1. 1. Dept. of Math., Xiangtan Normal School, Xiangtan;
    2. Dept. of Math., Peking University, Beijing
  • 收稿日期:1990-01-19 出版日期:1991-05-18 发布日期:1991-05-18

LAGRANGE EQUATION OF A CLASS OF NONHOLONOMIC SYSTEMS

Gao Pu-yun1, Guo Zhong-heng2   

  1. 1. Dept. of Math., Xiangtan Normal School, Xiangtan;
    2. Dept. of Math., Peking University, Beijing
  • Received:1990-01-19 Online:1991-05-18 Published:1991-05-18

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摘要： Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.

关键词: nonholonomic dynamics, d-δ commutativity, Appell-Chetaev condition

Abstract: Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.

Key words: nonholonomic dynamics, d-δ commutativity, Appell-Chetaev condition

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