Open AccessDifferential variational principles of mechanical systems in the event space
Author(s) -
Yi Zhang
Publication year - 2007
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.56.655
Subject(s) - variational principle , gauss , basis (linear algebra) , event (particle physics) , space (punctuation) , parametric statistics , euler's formula , mechanical system , mathematics , differential (mechanical device) , differential equation , mathematical analysis , physics , computer science , quantum mechanics , geometry , statistics , thermodynamics , operating system , artificial intelligence
In this paper, the differential variational principles of mechanical systems in the event space are studied. The D'Alembert-Lagrange principle, the Jourdain principle, the Gauss principle and the universal D'Alembert principle in the event space are established on the basis of the D'Alembert principle of the system. The parametric forms of Euler-Lagrange, Nielsen and Appell for these principles are given, and the parametric form of Mangeron-Deleanu for the universal D'Alembert principle is deduced.