Open AccessNoether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type
Author(s) -
Lili Xia,
Li Yuan-Cheng,
Jing Wang,
Hou Qi-Bao
Publication year - 2006
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.55.4995
Subject(s) - noether's theorem , nonholonomic system , physics , type (biology) , mathematical physics , classical mechanics , mechanical system , computer science , lagrangian , artificial intelligence , ecology , biology , robot , mobile robot
Based on the total time derivative along the trajectory of the system, the definition and the criterion of Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result.