• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2022, Vol. 58 ›› Issue (11): 156-169.doi: 10.3901/JME.2022.11.156

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

SU Ming1, HUANG Xu1, SUN Yisen1, XIE Zhiping1, LI Rong1, ZHENG Jiming1, ZHU Dongmin2   

  1. 1. School of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025;
    2. CINTEC Heavy Equipment Co., Ltd., Guiyang 550081
  • Received:2021-06-13 Revised:2022-03-09 Online:2022-06-05 Published:2022-08-08

Abstract: 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.

Key words: vibration synchronization, IMM-SPPC, synchronization criterion, stability criterion, periodic coefficient differential equations

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