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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (5): 457-463.

• 论文 • 上一篇    下一篇

ON THE UNIFICATION OF THE HAMILTON PRINCIPLES IN NONHOLONOMIC SYSTEM AND IN HOLONOMIC SYSTEM

梁立孚, 韦扬   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • 收稿日期:1994-06-06 出版日期:1996-05-18 发布日期:1996-05-18

ON THE UNIFICATION OF THE HAMILTON PRINCIPLES IN NONHOLONOMIC SYSTEM AND IN HOLONOMIC SYSTEM

Liang Lifu, Wei Yang   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • Received:1994-06-06 Online:1996-05-18 Published:1996-05-18

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摘要： In this paper by means of typical engineering examples and deep theoretical analysis, we prove that under the effect of conservative force, the Hamilton principles in holonomic and non-holonomic systems have the same formula δ∫Ldt=0. The formula ∫δdt=0 is an evolved form of the formula δ∫Ldt=0. Therefore, the two formulas are unified.

Abstract: In this paper by means of typical engineering examples and deep theoretical analysis, we prove that under the effect of conservative force, the Hamilton principles in holonomic and non-holonomic systems have the same formula δ∫Ldt=0. The formula ∫δdt=0 is an evolved form of the formula δ∫Ldt=0. Therefore, the two formulas are unified.

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