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任意阶非完整系统的Lie对称性与守恒量
引用本文:赵树信,尚玫,梅凤翔.任意阶非完整系统的Lie对称性与守恒量[J].北京理工大学学报(英文版),2000,9(2):131-137.
作者姓名:赵树信  尚玫  梅凤翔
作者单位:北京理工大学,应用力学系,北京,100081
基金项目:国家自然科学基金,高等学校博士学科点专项科研项目 
摘    要:利用常微分方程在无限小变换下的不变性研究带任意阶非完整约束的力学系统的Lie对称性与守恒量 .得到确定方程、限制方程、结构方程以及守恒量的形式 .

关 键 词:非完整系统  确定方程  限制方程  结构方程  守恒量
收稿时间:9/9/1999 12:00:00 AM

Lie Symmetries and Conserved Quantities of Arbitrary Order Nonholonomic Systems
ZHAO Shu-xin,SHANG Mei and MEI Feng-xiang.Lie Symmetries and Conserved Quantities of Arbitrary Order Nonholonomic Systems[J].Journal of Beijing Institute of Technology,2000,9(2):131-137.
Authors:ZHAO Shu-xin  SHANG Mei and MEI Feng-xiang
Affiliation:Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081
Abstract:The invariance of the differential equations under the infinitesimal transformations was used to study the Lie symmetries and conserved quantities of arbitrary order nonholonomic systems. The determining equations, the restriction equations, the structure equation and the form of the conserved quantities were obtained.
Keywords:nonholonomic system  determining equations  restriction equations  structure equation  conserved quantities
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