期刊文献+

Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in Holonomic Systems with Unilateral Constraints 被引量:4

Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in Holonomic Systems with Unilateral Constraints
下载PDF
导出
摘要 Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomie mechanic systems with unilateral constraints axe established. The definition and the criterion of Mei symmetry for Appell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups axe also given. The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第10期572-576,共5页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.10572021 the Preparatory Research Foundation of Jiangnan University under Grant No.2008LYY011
关键词 holonomic system with unilateral constraints Appell equation structural equation of Mei symmetry Mei conserved quantity Appell方程 完整系统 结构方程 对称性 守恒量 单侧 运动微分方程
  • 相关文献

参考文献28

  • 1F.X. Mei, Advanced Analytical Mechanics, Beijing Institute of Technology Press, Beijing (1991) p. 131 (in Chinese). 被引量:1
  • 2A.E. Noether, Nachr. Akad. Wiss. Gottingen. Math. Phys. KI (1918) 235. 被引量:1
  • 3B. Vujanovic, Int. J. Non-linear Mech. 13 (1978) 185. 被引量:1
  • 4M. Lutzky, J. Phys. A: Math. Gen. 12 (1979) 973. 被引量:1
  • 5B. Vujanovic, Acta Mech. 65 (1986) 63. 被引量:1
  • 6F.X. Mei, Applications of Lie Groupoids and Lie Alge- broids to Constrained Mechanical Systems, Science Press, Beijing (1999) (in Chinese). 被引量:1
  • 7F.X. Mei, Symmetries and Conserved Quantities of Constrained Mechanical Systems, Beijing Institute of Technology Press, Beijing (2004) p. 282 (in Chinese). 被引量:1
  • 8S.K. Luo, Y.F. Zhang, et al., Advances in the Study of Dynamics of Constrained Systems, Science Press, Beijing (2008) (in Chinese). 被引量:1
  • 9H.B. Zhang and S.L. Gu, Chin. Phys. 11 (2002) 765. 被引量:1
  • 10X.W. Chen and Y.M. Li, Chin. Phys. 12 (2003) 936. 被引量:1

同被引文献21

引证文献4

二级引证文献7

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部