摘要
探讨高速旋转的磁悬浮转子与辅助轴承瞬时接触时系统的非线性动力学行为。通过采用数值积分法,综合利用分岔图、时间响应图、Poincaré截面图和相图,首先研究了几何耦合参数α、比例反馈增益P和微分反馈增益D对系统的影响,其次研究了刚度比K和库伦滑动摩擦因数μ分别对偏心量比U的影响。结果表明:当几何耦合参数α取较大的值时,会导致转子偏移平衡位置,引发高速旋转的磁悬浮转子与辅助轴承发生碰摩,设备产生异常振动;比例反馈增益P或微分反馈增益D取较大的值,系统状态稳定,同时偏心量比U的取值会对系统状态产生显著影响。此外,辅助轴承的软装设计有利于系统稳定。
In order to investigate the transient nonlinear dynamic behavior in connection to the contract between the auxiliary bearing and magnetic rotor under high-speed rotation,bifurcation diagrams,time responses,Poincarésections and phrase diagrams are synthetically employed in the present article based on the numerical integration method.Firstly,the respective effect of geometric coupling parameterα,proportional feedback gain P and derivative feedback gain D on the system is explored.Then,the impact of stiffness ratio K and Coulomb sliding friction coefficientμon unbalanced parameter U are also discussed respectively.The results show that when the value of geometric coupling parameterαis large,it can lead to the offset of the rotor from the equilibrium position,corresponding to the rub-impact phenomenon of the rotating rotor and auxiliary bearing so that the equipment is disturbed by the abnormal vibration,however,either the large value of proportional feedback gain P or derivative feedback gain D can be in connection with the stable state of the system.In addition,the softly mounted auxiliary bearing is beneficial to the stability of the system,and the choice of unbalanced parameter U has a significant effect on the state of the system.
作者
徐璐
饶晓波
褚衍东
XU Lu;RAO XiaoBo;CHU YanDong(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《机械强度》
CAS
CSCD
北大核心
2020年第1期7-14,共8页
Journal of Mechanical Strength
基金
国家自然科学基金项目(11161027,11262009)
高等学校博士学科点专项科研基金(20136204110001)
兰州市人才创新创业项目(2015-RC-3)资助。
关键词
磁悬浮转子
辅助轴承
碰摩
振动
混沌
Magnetic rotor
Auxiliary bearing
Rub-impact
Vibration
Chaos
作者简介
徐璐,女,1989年6月生,甘肃兰州人,汉族,兰州交通大学在读博士,研究方向为机械设计及理论。
