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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (12): 1165-1169.

• 论文 • 上一篇    下一篇

ANOTHER CLASS D'ALEMBERT PRINCIPLE AND A NEW MAGGI EQUATION FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEMS IN DERIVATIVE SPACE

张曙红, 梁天麟   

  1. Department Architectural Engineering, Kunming University of Science and Technology, Kunming 650093, P. R. China
  • 收稿日期:1995-06-23 出版日期:1996-12-18 发布日期:1996-12-18

ANOTHER CLASS D'ALEMBERT PRINCIPLE AND A NEW MAGGI EQUATION FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEMS IN DERIVATIVE SPACE

Zhang Shuhong, Liang Tianling   

  1. Department Architectural Engineering, Kunming University of Science and Technology, Kunming 650093, P. R. China
  • Received:1995-06-23 Online:1996-12-18 Published:1996-12-18

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摘要： As a concrete application of the concepts of "derivative space" and"correspondent kinetic energy" in derivative space, and of foe thought of "treatingnonholonomic systems by changing them into formal holonomic system" which theauthors have previously proposed in references [1, 2, 3]. this paper derived another newuniversal D'Alembert principle and a new Maggi equation for arbitrary ordernonholonomic mechanical systems. An example using the Maggi equation is given.

关键词: derivative space, correspondent kinetic energy, nonholonomicsystem. formal holonomic system, universal D'Alembertprinciple, new Maggi equation

Abstract: As a concrete application of the concepts of "derivative space" and"correspondent kinetic energy" in derivative space, and of foe thought of "treatingnonholonomic systems by changing them into formal holonomic system" which theauthors have previously proposed in references [1, 2, 3]. this paper derived another newuniversal D'Alembert principle and a new Maggi equation for arbitrary ordernonholonomic mechanical systems. An example using the Maggi equation is given.

Key words: derivative space, correspondent kinetic energy, nonholonomicsystem. formal holonomic system, universal D'Alembertprinciple, new Maggi equation

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