弹支-双圆盘大长径比柔性转子球体动平衡分岔特性分析  

Bifurcation analysis of a flexible bearing–rigid rotor with two disks and two ball balancers

作　　者：陈海卫 王志 孙震 陈延斌 Chen Haiwei;Wang Zhi;Sun Zhen;Chen Yanbin(School of Mechanical Engineering,Jiangnan University,214122,Wuxi,China;Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology,214122,Wuxi,China)

机构地区：[1]江南大学机械工程学院,无锡214122 [2]江苏省食品先进制造装备技术重点实验室,无锡214122

出　　处：《应用力学学报》2021年第4期1301-1308,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(51205166)。

摘　　要：针对弹支-双圆盘大长径比柔性转子球体动平衡抑振机理问题,基于Lagrange方程建立系统振动模型并进行线性化处理,进而采用旋转坐标变换转为自治系统;分析平衡解约束方程及构成情况,绘制Campbell图求取转子固有频率;应用分岔理论分析球体质量、转子转速、支承刚度、平衡器间距及偏心相位差等因素对系统稳定性的影响,得到稳定区域分布情况;通过仿真初步验证分析结果,进而搭建转子实验平台,并基于高速相机的观测,验证理论结果的正确性。理论与实验结果表明:高阶临界转速之上,球体平衡可有效制止偏心引起的转子轴线偏移与倾斜。For the vibration suppression a flexible bearing–rigid rotor with large aspect ratio and two disks using ball balancers are analyzed in this paper.First,a linearized vibration model of the rotor is established using Lagrange equation which is then converted to an autonomous form for bifurcation analysis.Constraint equations of the equilibrium positions of the autonomous form are derived and several equilibrium solutions are obtained.Second,critical speeds of the rotor are solved based on Campbell diagram.Bifurcation analysis is implemented and stable regions of the rotor are identified.Several parameters influencing boundaries of the stable regions are considered,including mass of the ball,rotation speed,bearing stiffness,distance between the two balancers and phase difference between the two disks.Third,numerical simulations are carried out based on which bifurcation results are proved.At last,experiments are done on a real rotor and effectiveness of the balancers is demonstrated by movement of the balls observed using a high speed camera.Based on theoretical analysis and experimental result,it can be concluded that both vibration amplitude and vibration angle of the rotor can be suppressed by the ball balancer when the rotor is running above its high-order critical speed.

关 键 词：球体平衡器 分岔分析 转子动平衡 稳定性分析 振动抑制 

分 类 号：O328[理学—一般力学与力学基础] O347.6[理学—力学]