Open AccessThe periodic solution problem of a relative rotation nonlinear system with nonlinear elastic force and generalized damping force
Author(s) -
Xiaojing Li,
Yan Jing,
Chen Xuan-Qing,
Cao Yi
Publication year - 2014
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.63.200202
Subject(s) - nonlinear system , restoring force , continuation , rotation (mathematics) , physics , forcing (mathematics) , coincidence , mathematical analysis , classical mechanics , mechanical system , mathematics , computer science , geometry , quantum mechanics , medicine , alternative medicine , pathology , artificial intelligence , programming language
The periodic solution problem of a relative rotation nonlinear system is considered. Firstly, the relative rotation nonlinear dynamic system is established, which contains nonlinear elastic force, commonly damped force and forcing periodic force. Secondly, the result about the nonexistence of periodic solution of the corresponding autonomous system is obtained, and some results about the existence of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The significance is that we generalize the existing results of the literature. Finally an example is given to illustrate that our results are right.