非完整力学系统的高阶Routh方程及其正则形式  

Higher order Routh equations of a non-holonomic mechanical system and its canonical form

作　　者：董文山[1] 

机构地区：[1]潍坊学院物理系,山东潍坊261043

出　　处：《中国石油大学学报（自然科学版）》2008年第3期165-168,共4页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：山东省自然科学基金项目(z2003A01)

摘　　要：依据微分变分原理,建立了非完整力学系统的高阶Routh方程,给出了非完整非保守系统和保守系统高阶Routh方程的正则形式。该结果是对前人研究结果的进一步拓展。According to differential variational principles, the higher order Routh equations of non-liner non-holonomic mechanical systems were developed, and the canonical form of higher order Routh equations of non-holonomic non-conservative and conservative systems were obtained. These results generalize some results obtained by predecessors.

关 键 词：分析力学 非完整力学系统 高阶Routh方程 正则形式 

分 类 号：O313[理学—一般力学与力学基础]