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.
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.
出处
《力学与实践》
CSCD
北大核心
2005年第3期19-21,31,共4页
Mechanics in Engineering
基金
国家自然科学基金项目(50275024)资助.
