Open Accessd'Alembert-Lagrange principle on Riemann-Cartan space
Author(s) -
Yong Wang,
YongXin Guo
Publication year - 2005
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.54.5517
Subject(s) - nonholonomic system , euclidean space , riemann hypothesis , space (punctuation) , mathematical analysis , mathematics , euclidean geometry , order (exchange) , pure mathematics , computer science , geometry , finance , artificial intelligence , robot , economics , mobile robot , operating system
The nonholonomic mapping put forward by Kleinert is generalized to a first-order linear mapping. By means of this method, Riemann-Cartan space is embedded into Euclidean space. Based on this construction, the d'Alembert-Lagrange principle of nonholonomic constrained systems in Euclidean space is reduced to an “unconstrained” representation on Riemann-Cartan space.