Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations

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	Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations
其他题名	Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations
	Zhe Zhao 1; Guo YongXin 2; Chang Liu 3; Liu ShiXing 2
	2008
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	57 期号:4 页码:1998-2005
摘要	Based on an analysis of three kinds of non-equivalent nonholonomic variations, i.e., the Suslov's variation, Holder's variation and vakonomic variation, the method of Lagrange multipliers and stationary action principle are utilized to discuss the differential equations of motion for nonlinear nonholonomic constrained systems with respect to the three kinds of variations. The condition for the three kinds of equations to be equivalent is investigated. The equations for affine nonholonomic constrained systems are also obtained as special cases of the general nonholonomic systems. Two examples are given to illustrated the validity of the result.
关键词	VAKONOMIC DYNAMICS MECHANICAL SYSTEMS nonholonomic constraints Chetaev's condition vakonomic dynamics method of Lagrange multipliers
收录类别	CSCD
语种	英语
CSCD记录号	CSCD:3242914
引用统计	被引频次：1[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/144955
专题	中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.辽宁大学 3.Beijing Institute Technol, Sch Sci, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Zhe Zhao,Guo YongXin,Chang Liu,et al. Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations[J]. ACTA PHYSICA SINICA,2008,57(4):1998-2005.
APA	Zhe Zhao,Guo YongXin,Chang Liu,&Liu ShiXing.(2008).Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations.ACTA PHYSICA SINICA,57(4),1998-2005.
MLA	Zhe Zhao,et al."Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations".ACTA PHYSICA SINICA 57.4(2008):1998-2005.