摘要
非完整约束力学系统对称性与守恒量的研究不仅具有重要的理论意义,而且具有重要的实际价值。利用无限小群变换分析方法研究了非完整力学系统的Lie对称性直接导致的一种守恒量,给出了系统Lie对称性的判据,得到了系统Lie对称性直接导致的一种守恒量存在的条件和形式,举例说明了结果的应用。
It represents important not only theoretical but also practical significance to study the symmetry and conserved quantity of nonholonomic mechanical system. A kind of conserved quantity directly in- duced by Lie symmetry is studied by using infinitesimal group transformation analysis. Firstly, the criteri- on of Lie symmetry for nonholonomic mechanical system is given. Secondly, the existential condition of the conserved quantity and its forms are obtained. Finally, an example is given to illustrate the applica- tion of the results.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
2012年第11期1342-1345,共4页
Acta Armamentarii
关键词
一般力学
非完整力学系统
LIE对称性
守恒量
general mechanics
nonholonomic mechanical system
Lie symmetry
conserved quantity
