| Integrating Factors and Conservation Theorems for the Nonholonomic Singular Lagrange System |
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| 引用本文： | ZHAO Shu-Hong LIANG Li-Fu QIAO Yong-Fen. Integrating Factors and Conservation Theorems for the Nonholonomic Singular Lagrange System[J]. 理论物理通讯, 2007, 48(5): 791-794 |
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| 作者姓名： | ZHAO Shu-Hong LIANG Li-Fu QIAO Yong-Fen |
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| 作者单位： | [1]School of Civil Engineering of Harbin Engineering University, Harbin 150001, China [2]Engineering College of Northeast Agricultural University, Harbin 150030, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10272034 and the Doctoral Program Foundation of China under Grnt No. 20030558025 |
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| 摘 要： |
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| 关 键 词： | 力学 积分方程式 拉格朗日体系 物理 |
Integrating Factors and Conservation Theorems for the Nonholonomic Singular Lagrange System |
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| Abstract: | We present a general approach to the construction of conservation laws for the nonholonomic singular Lagrange system. Firstly, the differential equations of motion of the system are written, the definition of integrating factors is given for the system. Next, the necessary conditions for the existence of the conserved quantity are studied in detail. Finally, the conservation theorem and its inverse are established for the system, an example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics singular system integrating factor conserved quantity |
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