Open AccessThe periodic solution problem of a relative rotation nonlinear dynamic system with time-varying stiffness
Author(s) -
Xiaojing Li,
Chen Xuan-Qing,
Yan Jing
Publication year - 2013
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.62.090202
Subject(s) - uniqueness , nonlinear system , coincidence , stiffness , continuation , rotation (mathematics) , degree (music) , mathematical analysis , physics , mathematics , computer science , geometry , medicine , alternative medicine , pathology , quantum mechanics , acoustics , thermodynamics , programming language
Firstly, the relative rotation nonlinear dynamic system is established, which contains time-varying stiffness, commonly damping force and compulsive periodic force. Secondly, some results of the existence and uniqueness of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The significance is that we generalize the results published in the literature. Furthermore, an example is given to illustrate that our results are new.