单盘柔性碰摩转子系统的非线性动力学特性分析  

NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR

作　　者：刘德强[1] LIU DeQiang(Jilin Railway Vocational and Technical College,Jilin 130200,China)

机构地区：[1]吉林铁道职业技术学院,吉林130200

出　　处：《机械强度》2021年第2期275-280,共6页Journal of Mechanical Strength

摘　　要：摩擦中的转子系统由于其强非线性动力学特性,表现出倍周期分岔、概周期运动和混沌等复杂现象。基于单盘柔性Jeffcott转子系统的力学模型,采用变步长四阶Runge-Kutta法进行数值仿真计算,通过运用周期分岔图、轴心轨迹图、Poincaré截面图及最大碰摩力示意图,研究了系统的模型参数与其动力学特性的本质关系。计算结果表明:刚度比的变化对系统的动力学特性影响较大。随阻尼系数的增大,系统的周期运动模式类型明显减少,并且混沌存在区域随之减少。当偏心比增大时,系统的动力学特性变得复杂,同时最大碰摩力显著增大,转子系统的碰摩事件越发严重。该结果对单盘柔性转子设计中如何避免碰摩事件产生及限制最大碰摩力具有实际指导意义。A rotor system in rubbing is shown to exhibit complex phenomena including period-doubling bifurcation,quasiperiodic and chaotic motions due to itsstrongly nonlinear dynamic characteristics.Based on the mechanical model of a single-disk flexible Jeffcott rotor,the fourth-order Runge-Kutta method with variable step size was used for numerical simulation.The essential relationship between the model parameters and the dynamic characteristics of the system is studied by used periodic bifurcation diagrams,axis trajectory diagrams,Poincarésection diagrams and maximum rubbing force diagrams.The simulation results show that the change of stiffness ratio has great influence on the dynamic characteristics of the system.With the increase of damping coefficient,the type of periodic motion mode of the system decreases obviously,and the chaotic region decreases accordingly.When the eccentricity ratio increases,the dynamic characteristics of the system become more complex.Meanwhile,the maximum rubbing force increases significantly,and the rubbing events of the rotor system become more serious.The calculation and analysis in this paper may be helpful for avoided rubbing events and limited maximum friction in the design of single-disk flexible rotor.

关 键 词：碰摩 周期运动 非线性 分岔 

分 类 号：O322[理学—一般力学与力学基础]