期刊文献+

A DIFFERENTIAL GEOMETRIC DESCRIPTION FOR TIME-INDEPENDENT CHETAEV'S NONHOLONOMIC MECHANICAL SYSTEM WITH UNILATERAL CONSTRAINTS 被引量:4

A DIFFERENTIAL GEOMETRIC DESCRIPTION FOR TIME-INDEPENDENT CHETAEV'S NONHOLONOMIC MECHANICAL SYSTEM WITH UNILATERAL CONSTRAINTS
下载PDF
导出
摘要 By applying the framework of the tangent bundle geometry to the method of Lagrange multi- pliers,a geometric description of Chetaev's nonholonomic systems subjected to unilateral nonholonomic con- straints trod unilateral holonomic constraints respectively in time-independent circumstances is presented. By applying the framework of the tangent bundle geometry to the method of Lagrange multi- pliers,a geometric description of Chetaev's nonholonomic systems subjected to unilateral nonholonomic con- straints trod unilateral holonomic constraints respectively in time-independent circumstances is presented.
出处 《Acta Mechanica Solida Sinica》 SCIE EI 2002年第1期62-67,共6页 固体力学学报(英文版)
基金 the National Natural Science Foundation of China(No.19972010) the Qing Lan Project Foundation of Jiangsu Province of China the Research Foundation of Suzhou Institute of Urban Construction & Environmental Protection of China
关键词 analytical mechanics unilateral constraint differential geometry nonholonomic constraint tangent bundle geometry analytical mechanics unilateral constraint differential geometry nonholonomic constraint tangent bundle geometry
  • 相关文献

参考文献13

  • 1René W. Weber.Hamiltonian systems with constraints and their meaning in mechanics[J]. Archive for Rational Mechanics and Analysis . 1986 (4) 被引量:1
  • 2Mei,F.X.On the developments in analytical mechanics,Modem Mathematics and Mechanics. . 1993 被引量:1
  • 3Weber,R.W.Hamihonian systems with constraints and their meaning in mechanics. Arch.Ration Mech.Anal . 1986 被引量:1
  • 4de,León,M.,Rodrigues,P.R.Almost contact structures and time-dependent Lagrangians. Portugaliae Mathematica . 1990 被引量:1
  • 5Tulczyjew,W.M.Differential geometry of mechanical systems with constraints. Atti Academia Scienze Torino . 1986 被引量:1
  • 6Ibort,A.de,,León,M.,Lacomba,E.A.et al.Mechanical systems subjected to impulsive constraints. Journal of Physics A Mathematical and General . 1997 被引量:1
  • 7Godbillon,C. Géométrie différentielle et mécanique analytique . 1969 被引量:1
  • 8Arnold,V. I. Mathematical Methods of Classical Mechanics . 1978 被引量:1
  • 9Abraham R,Marsden J.Foundations of mechanics. . 1978 被引量:1
  • 10Hermann R.The differential geometric structure of general mechanical systems from the Lagrangian point of view. Journal of Mathematical Physics . 1982 被引量:1

同被引文献16

引证文献4

二级引证文献28

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