Open AccessStability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation
Author(s) -
Pengfei Shi,
Bin Liu
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.56.3678
Subject(s) - nonlinear system , excitation , physics , bifurcation , stability (learning theory) , rotation (mathematics) , dynamical systems theory , classical mechanics , dynamical system (definition) , mathematics , quantum mechanics , computer science , geometry , machine learning
The stability of nonlinear dynamical system of relative rotation is studied. Firstly, the dynamics equation of relative rotation autonomous nonlinear dynamical system with commonly damped force and forced excitation is deduced. Secondly, the stability of relative rotation nonlinear dynamical system is studied. For the nonlinear dynamical system, it is proved that the closed orbit bifurcation can occur under some conditions. Finally, The approximate solution of the equation under forced excitation is obtained by the method of multiple scales.