Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations
文献类型：期刊论文
| 作者 | Zhe Zhao1; Guo YongXin2; Chang Liu3; Liu ShiXing2 |
| 刊名 | ACTA PHYSICA SINICA
 |
| 出版日期 | 2008 |
| 卷号 | 57期号:4页码:1998-2005 |
| 关键词 | VAKONOMIC DYNAMICS MECHANICAL SYSTEMS nonholonomic constraints Chetaev's condition vakonomic dynamics method of Lagrange multipliers |
| ISSN号 | 1000-3290 |
| 其他题名 | Differential equations of motion for constrained systems with respect to three kinds of nonholonomic variations |
| 英文摘要 | 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. |
| 语种 | 英语 |
| CSCD记录号 | CSCD:3242914 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/144954]  |
| 专题 | 金属研究所_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. |
入库方式： OAI收割
来源：金属研究所
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