摘要
本文导出了考虑弯扭耦合振动时多圆盘转子的非线性运动微分方程,用多尺度法得出了一阶和二阶渐近解。分析说明当圆盘受简谐扭矩激励时,系统会出现组合共振,且给出了区分稳定和不稳定解的分界线。
In this paper,the nonlinear differential equations of motion of a multi-disc rotor with consideration of coupledflexural-torsional vibration are derived.The 1st and 2nd order approximations are obtained based on the method ofmultiple scales.When the discs are excited by the simple harmonic torques,the analysis shows that the combinationresonances may occur in the system,and the transition curves that seperate stable from unstable solutions arepresented.
出处
《振动工程学报》
EI
CSCD
1991年第3期1-9,共9页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目
关键词
转子动力学
非线性振动
稳定性
rotor dynamics
nonlinear vibration
stability analysis
combination resonance
