Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量

Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

研究Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量.对Chetaev型非完整约束相对运动力学系统Nielsen方程的运动微分方程、Mei对称性定义和判据进行具体的研究,得到了Mei对称性直接导致的Mei守恒量的表达式.最后举例说明结果的应用.

Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev＇s type are studied. The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.