%0 Journal Article
%T Stability analysis of a relative rotation time-delay nonlinear dynamic system<br>一类相对转动时滞非线性动力系统的稳定性分析
%A Liu Hao-Ran
%A Zhu Zhan-Long
%A Shi Pei-Ming
%A <br>刘浩然
%A 朱占龙
%A 时培明
%J 物理学报
%D 2010
%I 
%X The dynamic equation of a relative rotation time-delay nonlinear dynamic system is established, which contains time-varying stiffness, nonlinear damping and harmonic excitation. The bifurcation equation of time-delay dynamic system is deduced by the method of multiple scales. The structure stability of the system is studied by singularity theory, the transfer concourse of primary resonance equation and topological structure of bifurcation function are obtained. The dynamic stability of the system is discussed by the Hopf bifurcation theory and the condition for the limit cycle occurrance is given. Moreover, it is indicated by numerical method that parameters of time delay affect the limit cycle amplitude.
%K relative rotation
%K time-delay dynamic system
%K stability
%K limit cycle<br>相对转动
%K 时滞动力系统
%K 稳定性
%K 极限环
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=709FFF4F5E7BC6E738E6123B071B4B48&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=F3090AE9B60B7ED1&sid=BC51F0CC1C1E16F9&eid=8009AB14CCA7BD8B&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=27