电驱动偏心转子与复合振动环境振动同步的理论研究  

Theoretical study on the synchronization of electric drive eccentric rotor and the compound vibratory environment

作　　者：黄旭 苏明[1] 孙易森 赵容晨 李荣 谢志平[1] HUANG Xu;SU Ming;SUN Yisen;ZHAO Rongchen;LI Rong;XIE Zhiping(School of Mechanical&Electrical Engineering,Guizhou Normal University,550025 Guiyang,China)

机构地区：[1]贵州师范大学机械与电气工程学院,贵阳550025

出　　处：《应用力学学报》2022年第4期775-783,共9页Chinese Journal of Applied Mechanics

基　　金：贵州省工业4.0仿真设计创新中心建设项目(黔科中引地[2016]4006号)。

摘　　要：在振动环境中,当带偏心转子的电机旋转角速度与振动环境的角频率相近时,两者可以实现振动同步。针对这一特殊现象,本研究提出一种小参数积分均值法来研究该振动同步问题,设置电驱动偏心转子角速度与振动环境角频率之差的积分均值为变量,通过积分变换将电驱动偏心转子与复合振动环境之间的动力学方程转化为二阶周期系数微分方程,应用周期系数二阶微分方程相关理论推导得出实现振动同步的同步性判据和稳定性判据,并通过数值仿真验证了同步性与稳定性判据的有效性。本研究提出的将电驱动偏心转子角速度与振动环境角频率之差的小参数积分均值法,为研究振动同步理论提供了一种新的方法。There exists a special phenomenon that when the rotational angular velocity of a motor with eccentric rotors is close to the angular velocity of the compound vibratory environment,they can probably achieve vibratory synchronization.This paper proposes a novel solution to address the synchronization of the special phenomenon.An integral mean method with a small parameter is developed to define a variable of difference in angular frequency between the electrically-driven eccentric rotor and the compound vibratory environment,which formulates a dynamics equation between them.The dynamics equation is transformed into a second-order differential equation with periodic coefficient by applying integral.Then,the criteria of synchronization and stability for the vibratory synchronization are derived by using the second-order differential equation with the periodic coefficient.Numerical simulation results show that the derived criteria are effective.The proposed integral mean method with a small parameter provides a new approach for studying the theory of vibratory synchronization.

关 键 词：复合振动环境 电驱动偏心转子 振动同步 同步性判据 稳定性判据 

分 类 号：TH113[机械工程—机械设计及理论]