Open AccessMei symmetry and Mei conserved quantity of Nielsen equations for nonholonomic systems of unilateral non-Chetaev’s type in the event space
Author(s) -
Jia Li-Qun,
Cui Jin-Chao,
Luo Shao-Kai,
Yaoyu Zhang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2141
Subject(s) - symmetry (geometry) , nonholonomic system , conserved quantity , physics , mathematical physics , type (biology) , event (particle physics) , space (punctuation) , differential equation , motion (physics) , classical mechanics , mathematical analysis , mathematics , computer science , quantum mechanics , geometry , biology , artificial intelligence , robot , mobile robot , operating system , ecology
Mei symmetry and Mei conserved quantity of Nielsen equations for a nonholonomic system of unilateral non-Chetaev's type in the event space are studied. The differential equations of motion for the system are established. The definition and the criteria of Mei symmetry, loose Mei symmetry and strict Mei symmetry for the system are respectively given. The existence condition and the expression of Mei conserved quantity deduced directly from Mei symmetry are obtained. An example is given to illustrate the application of the results.