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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (11): 1105-1113.

• 论文 • 上一篇    下一篇

THE FUNDAMENTAL EQUATIONS OF DYNAMICS USINGREPRESENTATION OF QUASI-COORDINATES IN THE SPACEOF NON-LINEAR NON-HOLONOMIC CONSTRAINTS

邱荣   

  1. Xichan Nancun 3-203, Fuzhou University, Fuzhou 350002, P. R. China
  • 收稿日期:1996-01-22 修回日期:1997-06-05 出版日期:1997-11-18 发布日期:1997-11-18

THE FUNDAMENTAL EQUATIONS OF DYNAMICS USINGREPRESENTATION OF QUASI-COORDINATES IN THE SPACEOF NON-LINEAR NON-HOLONOMIC CONSTRAINTS

Qiu Rong   

  1. Xichan Nancun 3-203, Fuzhou University, Fuzhou 350002, P. R. China
  • Received:1996-01-22 Revised:1997-06-05 Online:1997-11-18 Published:1997-11-18

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摘要： The dot product of the bases vectors on the super-surface of the non-linear nonholonomic constraints with one order, expressed by quasi-coorfinates, and Mishirskiiequalions are regarded as the fundamental equations of dynamics with non-linear andnon-holononlic constraints in one order for the system of the variable mass. From thesethe variant ddferential-equations of dynamics expressed by quasi-coordinates arederived. The fundamental equations of dynamics are compatible with the principle ofJourdain. A case is cited.

Abstract: The dot product of the bases vectors on the super-surface of the non-linear nonholonomic constraints with one order, expressed by quasi-coorfinates, and Mishirskiiequalions are regarded as the fundamental equations of dynamics with non-linear andnon-holononlic constraints in one order for the system of the variable mass. From thesethe variant ddferential-equations of dynamics expressed by quasi-coordinates arederived. The fundamental equations of dynamics are compatible with the principle ofJourdain. A case is cited.

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