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| KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS | |
| 摘 要： | In this paper,the Kane’s equations for the Routh’s form of variable massnonholonomic systems are established.and the Kane’s equations for percussion motionof variable mass holonomic and nonholonomic systems are deduced from them. Secondly,the equivalence to Lagrange’s equations for percussion motion and Kane’sequations is obtained,and the application of the new equation is illustrated by anexample. |
| 关 键 词： | variable mass percussion motion Kane’s equation nonholonomic system |
| 收稿时间： | 1994-12-01 |
Kane's equations for percussion motion of variable mass nonholonomic mechanical systems |
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| Zhang Yueliang,Qiao Yongfen. Kane's equations for percussion motion of variable mass nonholonomic mechanical systems[J]. Applied Mathematics and Mechanics(English Edition), 1995, 16(9): 839-850. DOI: 10.1007/BF02458609 | |
| Authors: | Zhang Yueliang Qiao Yongfen |
| Affiliation: | (1) Harbin Engineering University, 150001 Harbin, P. R. China;(2) Northeast Agricultural University, 150030 Harbin, P. R. China |
| Abstract: | In this paper, the Kane's equations for the Routh's form of variable mass nonholonomic systems are established, and the Kane's equations for percussion motion of variable mass holonomic and nonholonomic systems are deduced from them. Secondly, the equivalence to Lagrange's equations for percussion motion and Kane's equations is obtained, and the application of the new equation is illustrated by an example. |
| Keywords: | variable mass percussion motion Kane's equation nonholonomic system |
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