Open AccessEQUATIONS OF MOTION OF VARIABLE MASS NONHOLONOMIC DYNAMICAL SYSTEMS IN POINCARé-CHETAEV VARIABLES
Author(s) -
Qiao Yong-Fen,
Zhao Shu-Hong
Publication year - 2001
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.50.805
Subject(s) - nonholonomic system , equations of motion , variable (mathematics) , nonlinear system , physics , holonomic , mathematical physics , type (biology) , classical mechanics , motion (physics) , mathematical analysis , mathematics , quantum mechanics , computer science , ecology , artificial intelligence , robot , biology , mobile robot
The equations of motion of variable-mass nonlinear nonholonomic dynamical systems in Poincaré-Chetaev variables have been studied. Firstly, the Poincaré-Chetaev variables x1,x2,…,xn and more with n-m holonomic constraints and m-l nonlinear nonholonomic constraints of Chetaev type were introduced. Secondly, the equations of Chaplygin's form, Nielsen's form and Appell's form were derived from the D'Alembert-Lagrange principle for a variable-mass mechanical system. Finally, the problem of equivalence between the Chaplygin's equations and the Appell's equations was discussed. Then the theory is illustrated by an example due to Appell.