变质量一般非完整力学系统的Routh方程  

Routh's Equations for General Nonholonomic Mechanical Systems of Variable Mass

作　　者：罗耀煌[1] 赵永达[2] 

机构地区：[1]云南大学 [2]云南教育学院

出　　处：《应用数学和力学》1993年第3期267-279,共13页Applied Mathematics and Mechanics

摘　　要：本文不使用任何变分原理,而直接从牛顿力学的动力学方程导出受有任意阶非线性非完整理想约束的变质量力学系统相对于一般非惯性参考系的Routh方程,并由它给出其它类型的运动微分方程.In this paper, Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variation principles, but from the dynamical equations of Newtonian mechanics. And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh's equations.

关 键 词：ROUTH方程 变质量系统 非完整约束 

分 类 号：O316[理学—一般力学与力学基础]