| 具有非Chetaev型非完整约束的奇异系统的形式不变性 |
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| 引用本文： | 梅凤翔.具有非Chetaev型非完整约束的奇异系统的形式不变性[J].商丘师范学院学报,2005,21(2):1-5. |
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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,力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10272021)资助项目 |
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| 摘 要： | 研究具有非Chetaev型非完整约束的奇异系统的形式不变性与守恒量．首先，建立系统的运动微分方程，其次，研究系统在群的无限小变换下的形式不变性．第三，给出形式不变性导致守恒量的条件、最后，举例说明结果的应用．
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| 关 键 词： | 非Chetaev型非完整约束 奇异系统 形式不变性 守恒量 |
| 文章编号： | 1672-3600(2005)02-0001-05 |
| 修稿时间： | 2004年11月8日 |
Form invariance of singular systems with nonholonomic constraints of non-Chetaev's type |
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| MEI Feng-xiang.Form invariance of singular systems with nonholonomic constraints of non-Chetaev''''s type[J].Journal of Shangqiu Teachers College,2005,21(2):1-5. |
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| Authors: | MEI Feng-xiang |
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| Abstract: | The form invariance and conserved quantity for a kind of singular systems with nonholonomic constraints of non-Chetaev's type are studied.Firstly,the differential equations of motion of the system are established.Secondly,the form invariance of the system under the infinitesimal transformations of groups is studied.Thirdly,the condition under which the form invariance can lead to a conserved quantity is obtained.Finally,an example is given to illustrate the application of the result. |
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| Keywords: | nonholonomic constraint of non-Chetaev's type singular system form in variance conserved quantity |
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