| 用双参数李变换群积分一类非完整系统的运动方程 |
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| 引用本文： | 张永发,梅凤翔.用双参数李变换群积分一类非完整系统的运动方程[J].北京理工大学学报,1995,15(1):13-18. |
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| 作者姓名： | 张永发 梅凤翔 |
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| 作者单位： | 北京理工大学应用力学系 |
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| 摘 要： | 研究了一类简单的非完整非自治系统，利用双参数李变换群，引进微分不变量、正则坐标的方法，对这类简单的非完整非自治系统的运动方程给以完全积分，为非完整系统的积分理论提供了一种新的方法。
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| 关 键 词： | 分析力学 双参数李变换群 非完整系统 动力学 |
A Kind of Equations of Motion of Nonholonmic Systems Integrated Through the Use of a Two-Parameter Lie Group of Transformations |
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| Zhang Yongfa: Mei Fengxiang.A Kind of Equations of Motion of Nonholonmic Systems Integrated Through the Use of a Two-Parameter Lie Group of Transformations[J].Journal of Beijing Institute of Technology(Natural Science Edition),1995,15(1):13-18. |
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| Authors: | Zhang Yongfa: Mei Fengxiang |
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| Abstract: | Studies a kind of simple nonholonomic and nonautonomous system using a two-parameter Lie group of transfor ations,with the introduction of the method of differential invariants and canonical coordinates.Such equations of motion of nonholonomic and nonautonomous systems are then solved,this a new method is introduced for the theory of integration of nonholonomic systems. |
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| Keywords: | analytic mechanics /two-parameter Lie group of transformations differential invariant canonical coordinates nonholonomic and nonautonomous system |
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