Open AccessThe universal forms of the dynamic equations of holonomic mechanical system in relative motion
Author(s) -
Zhang Xiang-wu
Publication year - 2006
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.55.2669
Subject(s) - holonomic , mechanical system , holonomic constraints , relative motion , equations of motion , relative velocity , motion (physics) , inertial frame of reference , classical mechanics , physics , coordinate system , order (exchange) , differential equation , mathematical analysis , mathematics , computer science , geometry , artificial intelligence , finance , quantum mechanics , economics
Based on the dynamic equations of particles system in non-inertial coordinate system, the higher order differential variational principle of relative motion for mechanical system is obtained, and the energy of higher order relative velocity of the mechanical system is introduced, the different kinds of higher order dynamic equations of holonomic mechanical system in relative motion are derived, and an example is given to illustrate the application of the results.