Open AccessSymmetry and conserved quantity of Lagrangians for nonholonomic variable mass system
Author(s) -
Bin Zhang,
Jianhui Fang,
Kejun Zhang
Publication year - 2012
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.61.021101
Subject(s) - conserved quantity , nonholonomic system , symmetry (geometry) , variable (mathematics) , physics , classical mechanics , mathematics , mathematical analysis , computer science , robot , geometry , mobile robot , artificial intelligence
In this paper are study the symmetry of Lagrangians and the conserved quantities for a nonholonomic variable mass system. Firstly, the criterion of the symmetry of Lagrangians for a nonholonomic variable mass system is given. Secondly, the conditions under which there exist a conserved quantity and the form of the conserved quantity, are obtained. Finally, an example is given to illustrate the application of the results.