变质量二阶非Четаев型非完整系统的守恒律

CONSERVATION LAWS OF VARIABLE MASS SECOND-ORDER NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE

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。

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.