Open AccessThe renormalization solution for a class of relative rotation nonlinear dynamic model with multi-frequency excitation
Author(s) -
Tang Rong-rong
Publication year - 2012
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.61.200201
Subject(s) - renormalization , nonlinear system , excitation , physics , perturbation (astronomy) , rotation (mathematics) , resonance (particle physics) , perturbation theory (quantum mechanics) , classical mechanics , class (philosophy) , statistical physics , mathematical analysis , quantum electrodynamics , quantum mechanics , mathematics , computer science , geometry , artificial intelligence
Using the perturbation theory, a class of relative rotation nonlinear dynamical model possessing nonlinear elastic force, friction force and multi-frequency excitation is investigated. The relations for the frequency syntheses are investigated, and the conditions under which multi-typical resonance happens at the same time are given. Using the renormalization method, the asymptotic expansions for the solutions of the model under corresponding conditions are obtained.