双电机反向驱动振动系统自同步理论研究  

Study on Synchronization Theory of Dual-Exciters Reverse Drive Vibration System

作　　者：苏明[1] 黄旭 孙易森 谢志平[1] 李荣 郑继明[1] 朱东敏 SU Ming;HUANG Xu;SUN Yisen;XIE Zhiping;LI Rong;ZHENG Jiming;ZHU Dongmin(School of Mechanical&Electrical Engineering,Guizhou Normal University,Guiyang 550025;CINTEC Heavy Equipment Co.,Ltd.,Guiyang 550081)

机构地区：[1]贵州师范大学机械与电气工程学院,贵阳550025 [2]贵州成智重工科技有限公司,贵阳550081

出　　处：《机械工程学报》2022年第11期156-169,共14页Journal of Mechanical Engineering

基　　金：中央引导地方科技发展专项资金(黔科中引地[2016]4006号);贵州省科技厅(黔科合人才团队[2014]4013号、黔科合重大专项字[2019]3003)资助项目。

摘　　要：针对传统双电机驱动振动系统自同步理论中同步性判据不能求出同步点相位与同步角速度、稳定性判据没有参数化等问题,在闻邦椿院士提出的“在同步时,两台电机平均角速度恒定”的近似条件下,采用周期系数小参数积分均值变量法对双电机反向驱动振动系统进行研究。将振动力矩平衡方程转化为以电机为单元的周期系数微分方程,得出了同步运转平衡点的相位公式。据此构建同步性方程,将同步性判据转化为同步性方程解的存在性问题,并对稳定性判据进行了参数化表达。应用同步性判据可以对双电机反向驱动振动系统自同步的同步角速度进行求取,并对稳定性进行预判断。通过Matlab/Simulink仿真和试验验证了理论结果的正确性。研究成果补充和完善了机械振动系统自同步理论。The criteria in the self-synchronization theory of the traditional dual-motor drive vibration system have problems such as the synchronization point phase and the synchronization angular velocity are not obtained, and the stability criterion is not parameterized, etc. Under the approximate condition of “the average angular velocity of the two motors is constant during synchronization” proposed by WEN Bangchun, an integral mean method with small parameters and periodic coefficient(IMM-SPPC) is used to study the dual-motor reverse drive vibration system. The vibration torque balance equation is transformed into a periodic coefficient differential equation with the motor as a unit, and the phase formula of the balance point of synchronous operation is obtained. Based on this, the synchronization criterion is transformed into the existence problem of the solution of the synchronization equation, and the parameterized expression of the stability criterion is realized. By applying the derived synchronization criterion, the self-synchronization synchronous angular velocity of the dual-motor reverse drive vibration system can not only be obtained, but also the stability can be predicted. The correctness of the theoretical results is verified through Matlab/Simulink simulation and the laboratory tests. The self-synchronization theory of mechanical vibration system is suplemented and perfected by these research results.

关 键 词：振动同步 小参数积分均值变量法 同步性判据 稳定性判据 周期系数微分方程 

分 类 号：TH113[机械工程—机械设计及理论]