%0 Journal Article
%T Stability and vibration of a helical rod with circular cross section in a viscous medium
%A Liu Yan-Zhu
%A Sheng Li-Wei
%A <br>刘延柱
%A 盛立伟
%J 中国物理 B
%D 2007
%I 
%X The stability and vibration of a thin elastic helical rod with circular cross section in a viscous medium are discussed. The dynamical equations of the rod in the viscous medium are established in the Frenet coordinates of the centreline with the Euler angles describing the attitudes of the cross section as variables. We have proved that the Lyapunov and Euler conditions of stability of a helical rod in the space domain are the necessary conditions for the asymptotic stability of the rod in the time domain. The free frequencies and damping coefficients of torsional and flexural vibrations of the helical rod in the viscous medium are calculated.
%K thin elastic rod
%K viscous medium
%K torsional vibration
%K flexural vibration<br>粘性介质
%K 螺旋棒
%K 圆形截面
%K 稳定性
%K 振动
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=FF458534E88FE56FB3DC52AB1A49DC39&yid=A732AF04DDA03BB3&vid=7801E6FC5AE9020C&iid=E158A972A605785F&sid=412FA1328E0CB9E9&eid=B65E5C7BA0DC04DC&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=12