%0 Journal Article
%T Instability of the vertically forced surface wave in a circular cylindrical container
%A Jian Yong-Jun
%A E Xue-Quan
%A <br>菅永军
%A 鄂学全
%J 中国物理 B
%D 2004
%I 
%X The nonlinear amplitude equation, which was derived by Jian Yongjun employing expansion of two-time scales in inviscid fluids in a vertically oscillating circular cylindrical vessel, is modified by introducing a damping term due to the viscous dissipation of this system. Instability of the surface wave is analysed and properties of the solutions of the modified equation are determined together with phase-plane trajectories. A necessary condition of forming a stable surface wave is obtained and unstable regions are illustrated. Research results show that the stable pattern of surface wave will not lose its stability to an infinitesimal disturbance.
%K instability
%K vertically forced oscillation
%K amplitude equation
%K phase-plane trajectories<br>不稳定性
%K 非线性振幅方程
%K 平面相位轨迹
%K 非粘性流体
%K 圆柱形船体
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=FF2828779A27F37A3F32308374C9AD38&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=F3090AE9B60B7ED1&sid=95B0C98E7814901D&eid=592C06DEDA153E98&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=19