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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (10): 973-983.

• 论文 • 上一篇    下一篇

GIBBS-APPELL’S EQUATIONS OF VARIABLE MASS NONLINEAR NONHOLONOMIC MECHANICAL SYSTEMS

乔永芬   

  1. Northeast Agricultural College, Harbin
  • 收稿日期:1989-08-04 出版日期:1990-10-18 发布日期:1990-10-18

GIBBS-APPELL’S EQUATIONS OF VARIABLE MASS NONLINEAR NONHOLONOMIC MECHANICAL SYSTEMS

Qiao Yong-fen   

  1. Northeast Agricultural College, Harbin
  • Received:1989-08-04 Online:1990-10-18 Published:1990-10-18

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摘要： In this paper, the Gibbs-Appell’s equations of motion are extended to the most general variable mass nonholonomie mechanical systems. Then the Gibbs-Appell’s equations of motion in terms of generalized coordinates or quasi-coordinates and an integral variational principle of variable mass nonlinear nonholonomie mechanical systems are obtained. Finally, an example is given.

Abstract: In this paper, the Gibbs-Appell’s equations of motion are extended to the most general variable mass nonholonomie mechanical systems. Then the Gibbs-Appell’s equations of motion in terms of generalized coordinates or quasi-coordinates and an integral variational principle of variable mass nonlinear nonholonomie mechanical systems are obtained. Finally, an example is given.

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