变质量非完整力学系统的非等时变分方程和积分不变量

On the Nonsimultaneous Variational Equations and Integral Invariant of variable Mass Nonholonomic Systems

给出变质量非完整力学系统的非等时变分方程,研究它们的解,并证明在一定条件下可利用第一积分来得到非等时变分方程的特解,最后利用正则方程和变分方程证明,可由第一积分直接构造系统的积分不变量.

This paper presents the nonsimultaneous variational equations for variable mass nonholonomic systems,and studys their solutions. By using its first integral, a particular solution of the nonholonomic variational equations are obtained under certain conditions and integral invariant of the systems are constructed.