倾斜角影响下磁悬浮双转子系统的振动分析  

Vibration Analysis of Magnetic Suspended Dual-rotor Systems under the Influence of Inclination Angle

作　　者：万雨初 朱由锋[2] 韩隆 靳赞成 WAN Yuchu;ZHU Youfeng;HAN Long;JIN Zancheng(College of Transportation,Shandong University of Science and Technology,Qingdao 266590,Shandong,China;College of Mechatronic Engineering,Shandong University of Science and Technology,Qingdao 266590,Shandong,China)

机构地区：[1]山东科技大学交通学院,山东青岛266590 [2]山东科技大学机械电子工程学院,山东青岛266590

出　　处：《噪声与振动控制》2022年第3期56-62,共7页Noise and Vibration Control

基　　金：山东省重点研发计划资助项目(2019GGX103024)。

摘　　要：针对倾斜角影响下磁悬浮双转子系统的转子振动问题,建立系统10自由度力学模型,并推导系统的微分方程。通过MATLAB仿真软件中四阶龙格库塔法对系统微分方程进行求解,研究表明转速比和倾斜角的增大均会增大转子到达平衡位置的偏移距离,不同的是,前者会使转子的轴心轨迹变得更为复杂,而后者会增大转子的最大振动幅值。从非线性角度分析发现,转速比的增大会降低转子进入混沌运动的转速,降低系统的稳定性,而倾斜角的存在会使系统产生复杂的运动状态,但倾斜角的增大对系统的稳定性无影响。研究结果可以为磁悬浮双转子系统的设计提供一定的理论指导。The rotor vibration problem of the magnetic suspended dual-rotor system under the influence of the inclination angle is studied.The 10-DOF mechanical model of the system is established,and its governing differential equation is derived and solved by the fourth-order Runge-Kutta method in MATLAB simulation software.It is concluded according to the results that both increases of the rotating speed ratio and inclination angle can increase the offset distance of the rotor to the equilibrium position,however the former makes the axial trajectory of the rotor more complex,while the latter increases the maximum vibration amplitude of the rotor.From the non-linear point of view,it is found that the increase of speed ratio will reduce the critical rotor speed for entering the chaotic motion so as to reduce the stability of the system,while the presence of inclination angle makes the system produce complex motion states,but the increase of inclination angle has no effect on the stability of the system.The research results may provide some theoretical guidance for the design of magnetic suspended dual-rotor systems.

关 键 词：振动与波 磁悬浮轴承 双转子系统 倾斜角 非线性振动 

分 类 号：V231.96[航空宇航科学与技术—航空宇航推进理论与工程] O322[理学—一般力学与力学基础]