%0 Journal Article
%T The study of stability and bifurcation of highline cable of alongside replenishment system<br>横向补给系统高架索的稳定性与分岔研究
%A He Xue-Jun
%A Zhang Liang-Xin
%A Ren Ai-Di
%A <br>何学军
%A 张良欣
%A 任爱娣
%J 物理学报
%D 2010
%I 
%X A theoretical model of transverse vibration of highline cable of alongside replenishment system was established, which considers the influence of the concentrated loading. The partial differential equation was asymptotically analysed by Galerkin method and muti-scale method. The bifurcation equation of system with higher order nonlinear terms was obtained by the solvability condition of eliminating the secular terms. Local bifurcation behavior of highline cable was studied with the software Mathematica. Bifurcation models and transition sets of system were obtained. The result shows that there are many kinds of bifurcation behaviors in highline cable of alongside replenishment system.
%K bifurcation
%K highline cable
%K stability
%K multi-scale method<br>分岔，
%K 高架索，
%K 稳定性，
%K 多尺度法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=91D0A0E72B6DABA932D0CE8750F63899&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=94C357A881DFC066&sid=D078599C58D910A2&eid=91255CF202BFF6D5&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=14