%0 Journal Article
%T Stability of equilibrium state of a kind of nonlinear relative rotation dynamic system and associated harmonic approximate solution<br>一类非线性相对转动动力系统的平衡稳定性及组合谐波近似解
%A Meng Zong
%A Liu Bin
%A <br>孟宗
%A 刘彬
%J 物理学报
%D 2008
%I 
%X The nonlinear dynamic equation with two masses in relative rotation is established, which contains a kind of generalized nonlinear elastic force. Using variable gradient method, the Lyapunov function is gotten, and the stability of the relative rotation nonlinear autonomous system is studied. The approximate solution of the associated harmonic response of the relative rotation nonlinear non-autonomous system under two forcing excitations of different frequencies is obtained by the method of perturbation.
%K relative rotation
%K nonlinear dynamics system
%K stability
%K associated harmonic response<br>相对转动，
%K 非线性动力系统，
%K 稳定性，
%K 组合谐波响应
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=AA6ED3766C62DD3B99487DA58A31FE37&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=38B194292C032A66&sid=1EB017852C08068A&eid=C0C56F7E9227DF7D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=43