东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2019, Vol. 40 ›› Issue (12): 1726-1731.DOI: 10.12068/j.issn.1005-3026.2019.12.011

• 机械工程 • 上一篇    下一篇

反向回转双机驱动振动系统的倍频控制同步

刘云山1,2， 贾磊1， 闻邦椿1   

  1. (1.东北大学 机械工程与自动化学院， 辽宁 沈阳110819； 2. 辽宁轨道交通职业学院 机械工程系， 辽宁 沈阳110023)
  • 收稿日期:2019-03-29 修回日期:2019-03-29 出版日期:2019-12-15 发布日期:2019-12-12
  • 通讯作者: 刘云山
  • 作者简介:刘云山(1975-)，男，河南平顶山人，东北大学博士研究生； 闻邦椿(1930-)，男，浙江温岭人，东北大学教授，博士生导师，中国科学院院士.
  • 基金资助:
    国家自然科学基金资助项目(51675090).

Multi-frequency Controlled Synchronization of a Vibrating System with Two-Motor Drives Rotating in Opposite Directions

LIU Yun-shan1,2， JIA Lei1， WEN Bang-chun1   

  1. 1.School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China; 2. Department of Mechanical Engineering， Guidaojiaotong Polytechnic Institute， Shenyang 110023， China.
  • Received:2019-03-29 Revised:2019-03-29 Online:2019-12-15 Published:2019-12-12
  • Contact: LIU Yun-shan
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摘要： 针对基频同步不利于物料筛分的多样性和倍频自同步难以实现且只能实现一种整数倍频同步运动的问题，提出了一种双机驱动振动系统的倍频控制同步方法.建立了振动系统的机电耦合动力学模型，在此基础上应用小参数平均法推导出了振动系统的响应方程，同时基于主从控制策略引入了模糊PID控制方法，不仅实现了倍频控制同步运动，而且实现了最小公倍周期的零相位差倍频同步运动.最后用Matlab/Simulink仿真证明了理论的准确性与有效性.

关键词: 控制同步, 倍频, 振动系统, 主从控制, 模糊PID

Abstract: Given that the base frequency synchronization is not conducive to the diversity of material screening， the multi-frequency self-synchronization is difficult to be realized and only integer times frequency synchronization motion can be achieved， multi-frequency controlled synchronization of a vibrating system with two eccentrics driven by inductor motors was proposed. Firstly， the electromechanical coupling dynamic model of the vibration system was established， based on which the response equation of the vibration system was derived by using the small parameter average method. Meanwhile， the fuzzy PID control method was introduced based on the master-slave control strategy， which not only realized the multi-frequency control synchronous motion， but also realized the zero-phase difference multi-frequency synchronous motion of the minimum common multiple period. Finally， the accuracy and effectiveness of the theory was proved by Matlab/Simulink simulation.

Key words: controlled synchronization, multi-frequency, vibrating system, master-slave control, fuzzy PID

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