摘要
首先给出非完整相对运动动力学系统的非等时变分方程,然后研究它们的解,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 of relative motion for nonholonomic systems,and studies the solutions of the equations. By using the first integral, a particular solution of the nonsimultaneous variational equations is obtained under certain conditions ,and integral invariant of the systems is constructed.
出处
《烟台师范学院学报(自然科学版)》
1993年第3期48-53,共6页
Yantai Teachers University journal(Natural Science Edition)
关键词
相对运动
非完整系统
变分方程
relative motion, nonholonomic system, first integral, nonsimultaneous variational equation,integral invariant