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Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations
Alternative TitleDifferential equations of motion for constrained systems with respect to three kinds of nonholonomic variations
Zhe Zhao1; Guo YongXin2; Chang Liu3; Liu ShiXing2
2008
Source PublicationACTA PHYSICA SINICA
ISSN1000-3290
Volume57Issue:4Pages:1998-2005
AbstractBased 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.
KeywordVAKONOMIC DYNAMICS MECHANICAL SYSTEMS nonholonomic constraints Chetaev's condition vakonomic dynamics method of Lagrange multipliers
Indexed ByCSCD
Language英语
CSCD IDCSCD:3242914
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/144955
Collection中国科学院金属研究所
Affiliation1.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
Recommended Citation
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.
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