摘要
本文给出了变质量非完整系统相对于非惯性系的第一积分存在的条件,建立了这类系统的正则方程和变分方程,证明了由第一积分可直接构造系统的积分不变量,并给出一系列推论和一个例子.
The first integrals and their conditions of existence for variable mass nonho-lonomic system in non-inertial reference frames are obtained.and the canonical equations and the variation equations of the system are extended.It is proved that using the first integral we can construct the integral invariant of the system,Finally,a series of deductions and an example are given.
出处
《应用数学和力学》
CSCD
北大核心
1994年第2期139-146,共8页
Applied Mathematics and Mechanics
基金
河南省自然科学基金
关键词
变质量
非惯性系统
非完整系统
analytical mechanics,nonholonomic constraint.variable mass,noniner-tial reference frame,first integral,integral invariant