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.
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References
Mei Fengxiang,Advanced Analysis Mechanics, Beijing Theory and Engeneering University Press (1991), 321–333. (in Chinese)
T. R. Kane and D. A. Levinson,Theory and Application of Dynamics, translated by Jia Shuhui, Xue Kezong, Qinghua University Press (1988), 170–171. (in Chinese)
Ge Zhengming, Extended Kane's equations for nonholonomic variable mass system,J. Appl. Mech.,49 (1982), 429.
Xue Yun, Kane's equation for impulsive forces,Shanghai Mechanics,7, 1 (1986), 33. (in Chinese)
Mathematics Analysis (Volume One), edited by the Department of Mathematics of Jilin University, The People's Education Press (1979). 191–207.
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Communicated by Chien Weizang
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Yueliang, Z., Yongfen, Q. Kane's equations for percussion motion of variable mass nonholonomic mechanical systems. Appl Math Mech 16, 839–850 (1995). https://doi.org/10.1007/BF02458609
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DOI: https://doi.org/10.1007/BF02458609