Open AccessLagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev’s type
Author(s) -
Zhang Yi,
Ge Wei-Kuan
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.58.7447
Subject(s) - nonholonomic system , conserved quantity , homogeneous space , symmetry (geometry) , type (biology) , lagrange multiplier , physics , mathematical physics , classical mechanics , analytical mechanics , mathematics , mathematical analysis , computer science , quantum mechanics , biology , geometry , quantum , robot , ecology , artificial intelligence , quantum dynamics , mobile robot
This paper focuses on Lagrange symmetries and conserved quantities for nonconservative mechanical systems with nonholonomic constraints of non-Chetaev's type. The definition and criterion of Lagrange symmetry of the systems are given. The conditions under which a Lagrange symmetry can lead to a new conserved quantityfirst integral)are obtained and the form of the new conserved quantityfirst integral)is presented. Two examples are given to illustrate the application of the results.