Open AccessHojman conserved quantities of generalized linear nonholonomic mechanical systems
Author(s) -
Dong Wen-shan,
Jianhui Fang,
Huang Bao-Xin
Publication year - 2010
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.59.724
Subject(s) - nonholonomic system , conserved quantity , holonomic , infinitesimal , homogeneous space , classical mechanics , physics , mechanical system , mathematics , mathematical physics , mathematical analysis , computer science , geometry , quantum mechanics , mobile robot , artificial intelligence , robot
We study the Lie symmetries and Hojman conserved quantities of generalized linear nonholonomic mechanical systems. Under special infinitesimal transformations in which the time is invariablethe determining equationsthe constrained restriction equations and the additional restriction equations of the nonholonomic mechanical systems are obtained. The Hojman conserved quantity of the corresponding holonomic systemsthe weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the linear nonholonomic systems are obtained. An example to illustrate the application of the result is given.