| 完整力学系统罗斯方程的拓广 |
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| 引用本文： | 吴惠祥.完整力学系统罗斯方程的拓广[J].贵州工业大学学报(自然科学版),1986(2). |
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| 作者姓名： | 吴惠祥 |
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| 作者单位： | 南京航空学院理力教研室 |
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| 摘 要： | 本文推导了完整系统含非有势力的罗斯(Routh)函数和罗斯方程,把已有仅含有势力的罗斯函数和罗斯方程进行了拓广。
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| 关 键 词： | 广义坐标 广义速度 拉氏方程 罗斯方程 非有势力 循环坐标 完整系统 |
Extension of the Routhian Equation for Holonomic Mechanical System |
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| Wu Huixiang.Extension of the Routhian Equation for Holonomic Mechanical System[J].Journal of Guizhou University of Technology(Natural Science Edition),1986(2). |
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| Authors: | Wu Huixiang |
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| Institution: | Theoretical Mechanics Teaching and Researching Group of Nanjing Institute of Aeronautics and Astronautics |
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| Abstract: | The existing Routhian equation is a varied form of the Lagran's equation.It is only applicable to the holonomie system in which there are cyclic coordinates,and the external forces are potential,so it is not applicable to the mechanical system which includes both non-poten- tial force and potential force.The solution of the motive equation of the mechanical system starts with the original Lagrang's equation. Therefore,the solution is rather inconvenient.In order to solve this problem,the writer derives the Routhean function and Routhean equation for this mechanical system,and so extends the existing Routhean function and Routhean equation. |
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| Keywords: | generalized coordinates generalized velocity Lagrang's equation Roathian equation non-potential force cyclic coordinates holonomic system |
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