准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量

Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates

研究准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量.给出一般完整系统Nielsen方程的Mei对称性的定义和判据,讨论一般完整系统Nielsen方程Mei对称性直接导致的Mei守恒量的条件及Mei守恒量的形式,并举例说明结果的应用.

Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates was discussed.The definition and the criterion of Mei symmetry of a Nielsen equation for a holonomic mechanical system in terms of quasi-coordinates are given,and the condition and the form of the Mei conserved quantity deduced directly from the Mei symmetry of the Nielsen equation for a holonomic mechanical system are discussed.Finally,an example is given to illustrate the application of the results.