| Integrating factors and conservation theorems for Hamilton‘s canonical equations of motion of variable mass nonholonmic nonconservative dynamical systems |
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| 引用本文： | 李仁杰,乔永芬,刘洋.Integrating factors and conservation theorems for Hamilton‘s canonical equations of motion of variable mass nonholonmic nonconservative dynamical systems[J].中国物理 B,2002,11(8):760-764. |
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| 作者姓名： | 李仁杰 乔永芬 刘洋 |
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| 作者单位： | (1)Civil Engineering College of Harbin Engineering University, Harbin 150001, China; (2)Engineering College of Northeast Agriculture University, Harbin 150003, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Heilongjiang Province, China (Grant No 9507). |
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| 摘 要： | We present a general approach to the construction of conservation laws for variable mass noholonmic nonconservative systems.First,we give the definition of integrating factors,and we study in detail the necessary conditions for the existence of the conserved quantities,Then,we establish the conservatioin theorem and its inverse theorem for Hamilton‘s canonical equations of motion of variable mass nonholonomic nonocnservative dynamical systems.Finally,we give an example to illustrate the application of the results.
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| 关 键 词： | 哈密顿正则方程 可变质量 非简谐动力学系统 |
| 收稿时间： | 2001-12-31 |
Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems |
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| Li Ren-Jie,Qiao Yong-Fen and Liu Yang.Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems[J].Chinese Physics B,2002,11(8):760-764. |
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| Authors: | Li Ren-Jie Qiao Yong-Fen and Liu Yang |
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| Affiliation: | Engineering College of Northeast Agriculture University, Harbin 150003, China; Civil Engineering College of Harbin Engineering University, Harbin 150001, China |
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| Abstract: | We present a general approach to the construction of conservation laws for variable mass nonholonomic nonconservative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditions for the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally, we give an example to illustrate the application of the results. |
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| Keywords: | variable mass nonholonomic nonconservative system Hamilton's canonical equations integrating factor conservation law |
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