摘要
建立了变质量非线性非完整系统相对于非惯性系的广义Routh方程和广义方程,给出了其循环积分存在的条件,并利用循环积分将这类系统的Routh方程和方程降阶,得到更广泛一类的广义Routh方程和型广义Routh方程。最后给出一系列推论和一个例子。
Routh and Chaplygin equations for variable mass nonlinear nonholonomic system in noninertial reference frame are extended,and the cyclic integral and its condition of existence for the system are given.Using the cyclic integral,the order of the Routh equations and the Chaplygin equations are reduced,and the further generalized Routh equations and further generalized Routh equations of the Chaplygin form are obtained.A series of deductions and an example are given.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
1996年第2期159-163,共5页
Acta Armamentarii
基金
河南省自然科学基金
关键词
非完整约束
质量
降价方法
质点
运动方程
nonholonomic constraint,variable mass,noninertial reference frame,cyclic integral,method for the reduction of order