事件空间中非Chetaev型非完整系统的Mei对称性与Mei守恒量

Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev's type in event space

研究了事件空间中非Chetaev型非完整系统的Mei对称性和Mei守恒量.给出了事件空间中非Chetaev型非完整系统的运动微分方程、Mei对称性的定义和判据、Mei对称性直接导致的Mei守恒量的条件以及Mei守恒量的形式.并举例说明了结论的应用.

This paper studies the Mei symmetry and Mei conserved quantity of non-Chetaev＇ s type in the event space. The differential equations of motion of non-holonomic systems of non-Chetaev＇ s type in event spaces are established. The definition and the criteria of Mei symmetry are given. The condition and the form of Mei conserved quantity are deduced directly from the Mei symmetry. An example is given to illustrate the application of the results.