摘要
对刚性Jeffcott转子进行了分叉行为研究 .无量纲轴承油膜力的表达式中考虑了滑油粘性力的作用 .利用多变量Floquet定理分析了转子的稳定性 .给出了分叉图、Poincar啨截面图和Ｆｌｏｑｕｅｔ乘子变化图 .结果表明 ,转子运动呈现倍周期分叉、切分叉和二次Hopf分叉等复杂的非线性动力学现象 .
The bifurcation behaviors of rigid Jeffcott rotor are studied. The influence of viscous force is considered while establishing nondimensional oil film force. The stability of the rotor is analyzed using multi-variable Floquet theory. The diagrams of bifurcation, Poincaré cross-section and Floquet multipliers are obtained. The results show that the motion of the rotor undergoes complicated nonlinear dynamics phenomena, such as period doubling bifurcation, tangent bifurcation and secondary Hopf bifurcation.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2000年第1期19-22,共4页
Journal of Harbin Institute of Technology
基金
国家自然科学基金
机械工业技术发展基金联合资助项目! ( 95 13 90 0 49)
关键词
转子动力学
非线性
转子-轴承系统
分叉
稳定性
rotor dynamics
nonlinear rotor bearing system
bifurcation and stability
