| ROUTH’S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS |
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| 引用本文： | 罗耀煌,赵永达.ROUTH’S EQUATIONS FOR GENERAL NONHOLONOMIC MECHANICAL SYSTEMS OF VARIABLE MASS[J].应用数学和力学(英文版),1993,14(3):285-298. |
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| 作者姓名： | 罗耀煌 赵永达 |
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| 作者单位： | Yunnan University,Kunming,Yunnan Institute of Education,Kunming |
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| 摘 要： | In this paper,Routh’s equations for the mechanical systems of the variable masswith nonlinear nonholonomic constraints of arbitrary orders in a noninertial referencesystem have been deduced not from any variational principles,but from the dynamicalequations of Newtonian mechanics.And then again the other forms of equations fornonholonomic systems of variable mass are obtained from Routh’s equations.
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| 关 键 词： | Routh’s equations variable mass system nonholonomic constraint noninertial reference system |
| 收稿时间： | 26 December 1989 |
Routh's equations for general nonholonomic mechanical systems of variable mass |
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| Luo Yao-huang,Zhao Yong-da.Routh's equations for general nonholonomic mechanical systems of variable mass[J].Applied Mathematics and Mechanics(English Edition),1993,14(3):285-298. |
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| Authors: | Luo Yao-huang Zhao Yong-da |
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| Institution: | 1. Yunnan University, Kunming;2. Yunnan Institute of Education, Kunming |
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| Abstract: | In this paper, Routh 's "equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics. And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh's equations. |
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| Keywords: | Routh's equations variable mass system nonholonomic constraint noninertial reference system |
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