%0 Journal Article
%T Analysis of stability of the equilibrium state of periodic motion in a nonlinear relative-rotation system<br>一类非线性相对转动周期系统的平衡稳定性分析
%A Zhao Wu
%A Liu Bin
%A Shi Pei-Ming
%A Jiang Jin-Shui
%A <br>赵 武
%A 刘 彬
%A 时培明
%A 蒋金水
%J 物理学报
%D 2006
%I 
%X For solving stability of motion in a nonlinear relative rotation shafting, a sort of periodic variable coefficient linear ordinary differential equations was studied. Movement stabilization criterion of nonlinear relative rotation system was obtained by transferring the fundamental matrix of the solution of the ordinary differential equation to Jordan canonical. Using the Lyapunov function method, the stabile balance position of relative rotation motion of driving system in a variety of mechanical equipments was studied, and the analytic expression of the stable region was obtained. The method supplies theoretical laws, similarity analog criterion and technique means of selecting working parameter of stable working interval of a type of mechanical driving systems. The result of the research can be used for analysis and evaluation of the torsional vibration stability of the main driving system of heavy and complex rotary machines.
%K relatively rotation
%K similarity analog
%K stability of motion state
%K stability of equilibrium state<br>相对转动
%K 相似模拟
%K 运动稳定
%K 平衡稳定
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=C2CE6C8CCED414D4&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=5D311CA918CA9A03&sid=15E36E4E8B5253CE&eid=149731B03A988FF8&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=26