Open AccessA non-Noether conserved quantity, i.e. Hojman conserved quantity, for nonholonomic mechanical systems
Author(s) -
Luo Shao-Kai,
Mei Feng-Xiang
Publication year - 2004
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.53.6
Subject(s) - conserved quantity , noether's theorem , nonholonomic system , holonomic , infinitesimal , symmetry (geometry) , mechanical system , physics , analytical mechanics , classical mechanics , mathematical physics , mathematics , lagrangian , mathematical analysis , computer science , quantum mechanics , geometry , mobile robot , robot , artificial intelligence , quantum dynamics , quantum
A non-Noether conserved quantity, i.e. Hojman conserved quantity, of the nonholonomic mechanical systems is presented. Using the special Lie symmetry under infinitesimal transformations in which the time is not variable, the determining equations, the constrained restriction equations and the additional restriction equations of the nonholonomic mechanical systems are given. The Hojman conserved quantity of the corresponding holonomic systems, the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the nonholonomic systems are obtained. An example is given to illustrate the application of the result.