| 变质量二阶非чeтaeв型非完整系统的守恒律 |
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| 引用本文： | 方建会,赵嵩卿.变质量二阶非чeтaeв型非完整系统的守恒律[J].中国石油大学学报(自然科学版),2000,24(5). |
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| 作者姓名： | 方建会 赵嵩卿 |
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| 作者单位： | 石油大学应用物理系,山东东营257061 |
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| 摘 要： | 利用Jourdain微分变分原理研究变质量二阶非Четаев型非完整系统的守恒律 ,引入Jourdain生成元 ,给出无限小变换下Jourdain原理的不变性条件 ,在一定条件下得到系统的守恒律。由于Четаев型非完整系统是非Четаев型非完整系统的特殊情形、常质量系统是变质量系统的特殊情形 ,因此 ,所得结果具有普遍意义。给出了应用例子。
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| 关 键 词： | Jourdain原理 变质量 非Четаев型非完整系统 守恒律 |
CONSERVATION LAWS OF VARIABLE MASS SECOND-ORDER NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE |
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| FANG Jian-hui,ZHAO Song-qing.CONSERVATION LAWS OF VARIABLE MASS SECOND-ORDER NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE[J].Journal of China University of Petroleum,2000,24(5). |
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| Authors: | FANG Jian-hui ZHAO Song-qing |
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| Abstract: | The conservation laws of variable mass seconed order nonholonomic systems of non chetaev's type are studied by means of the Jourdains principle. The invarance condition of Jourdains principle under the infinitesimal transformations is given by introducing the Jourdains generator. The conservation laws of the systems are obtained under the certain conditions. An application example is given. |
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| Keywords: | Jourdain principle variable mass nonholonomic system of non chetaevs type conservation law |
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