%0 Journal Article
%T Bifurcation of a kind of nonlinear-relative rotational system with combined harmonic excitation<br>一类非线性相对转动系统的组合谐波分岔行为研究
%A Meng Zong
%A Fu Li-Yuan
%A Song Ming-Hou
%A <br>孟宗
%A 付立元
%A 宋明厚
%J 物理学报
%D 2013
%I 
%X Using the Lagrange principle of dissipative system, the nonlinear dynamic equation of a relative rotation with combined harmonic excitation is established, which contains nonlinear stiffness and nonlinear damping. The stability and bifurcation characteristics of autonomous system are analyzed by constructing Lyapunov function. Bifurcation response equation of non-autonomous system under the combined harmonic excitation is obtained by the method of multiple scale. Finally, numerical method is employed to analyze the effects of external excitation, system damping and nonlinear stiffness on the process that the system enter into chaos motion via period-doubling bifurcation by bifurcation diagram, time domain waveform, phase trajectory and Poincaré map.
%K relative rotation
%K combined harmonic excitation
%K bifurcations
%K chaos<br>相对转动
%K 组合激励
%K 分岔
%K 混沌
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=164B941495554643EFB5F40E370D43BB&yid=FF7AA908D58E97FA&iid=94C357A881DFC066&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0