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非线性转子-机匣系统的分岔行为研究
引用本文:吴敬东,刘长春,朱诚实,闻邦椿.非线性转子-机匣系统的分岔行为研究[J].力学与实践,2005,27(3):19-21,31.
作者姓名:吴敬东  刘长春  朱诚实  闻邦椿
作者单位:1. 东北大学,沈阳,110006;沈阳化工学院,沈阳,110142
2. 沈阳化工学院,沈阳,110142
3. 东北大学,沈阳,110006
基金项目:国家自然科学基金项目(50275024)资助.
摘    要:建立了一类非线性转子-机匣系统的碰摩模型.应用数值分析的方法对其进行研究,得到了不同参数变化下系统响应随转速变化的分岔图,分析了系统参数变化对分岔过程的影响,并作出了在相应参数状态和特定转速下的Poincare截面图,揭示系统参数变化对非线性碰摩转子-机匣系统分岔特性的影响.

关 键 词:非线性转子  机匣  分岔行为  混沌  碰摩模型  运动方程

RESEARCH ON THE BIFURCATION BEHAVIORS OF A NONLINEAR ROTOR-BOX SYSTEM
Wu Jingdong,LIU CHANGCHUN,Zhu Chengshi,WEN Bangchun.RESEARCH ON THE BIFURCATION BEHAVIORS OF A NONLINEAR ROTOR-BOX SYSTEM[J].Mechanics and Engineering,2005,27(3):19-21,31.
Authors:Wu Jingdong  LIU CHANGCHUN  Zhu Chengshi  WEN Bangchun
Abstract:A mathematical model of rubbing and impact for a nonlinear rotor-box is proposed in the paper. By means of numerical simulation, bifurcation diagrams are obtained under different system parameters. Meanwhile, the effect of the different system parameters on the bifurcation is analyzed in the numerical simulation. Poincare mappings are given on relevant system parameters and frequencies. Finally, the effect of the different system parameters on the rub-impact characteristics of the nonlinear rotor-box system is discussed. The variation of the eccentricity may influence chaotic motions and bifurcation phenomena and an increase of damping causes a gradual reduction of the chaotic bands, but an increase of rub-impact stiffness increases the chaotic bands and causes a complex motion.
Keywords:nonlinear rotor  stator box  impact and rubbing  bifurcation  chaos
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