Open AccessHigher order Lagrange equations of holonomic potential mechanical system
Author(s) -
Zhang Xiang-wu
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.54.4483
Subject(s) - holonomic , holonomic constraints , mechanical system , order (exchange) , computer science , lagrange multiplier , mathematics , classical mechanics , physics , mathematical optimization , artificial intelligence , finance , economics
First, the theorem on energy of higher order velocity of the holonomic potential mechanical system is presented with on explaining of the physical meaning of energy of higher order velocity of the system. The general criterion of potential mechanical system is then presented. On this basis, the higher order Lagrange function is introduced,the higher order Lagrange equations of holonomic potential mechanical system are derived, and the higher order cyclic integral and the integral of higher order generalized energy of the system are obtained.