| 高阶非完整系统运动方程的一类积分 |
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| 引用本文： | 梅凤翔.高阶非完整系统运动方程的一类积分[J].应用数学和力学,1991,12(8):749-756. |
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| 作者姓名： | 梅凤翔 |
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| 作者单位： | 北京理工大学 |
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| 摘 要： | 本文给出高阶非完整系统运动方程的一类积分及其存在条件,包括1阶积分(广义能量积分),2阶积分和p(p>2)阶积分,所有这些积分都可按系统的Lagrange函数来构造.举例说明本文方法的应用.
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| 关 键 词： | 运动方程 积分 高阶非完整系统 |
| 收稿时间： | 1990-06-20 |
One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems |
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| Mei Feng-xiang.One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems[J].Applied Mathematics and Mechanics,1991,12(8):749-756. |
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| Authors: | Mei Feng-xiang |
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| Institution: | Beijing Institute of Technology, Beijing |
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| Abstract: | This paper presents one type of integrals and its condition of existence for the equations of motion of higher-order nonholonomic systems, including 1-order inte-gral(generalized energy integral), 2-order integral and p-order integral (p>2). All of these integrals can be constructed by the Lagrangian function of the system. Two examples are given to illustrate the application of the suggested method. |
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| Keywords: | equations of motion integral higger-order nonholonomic system |
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