Self-synchronization theory of dual motor driven vibration system with two-stage vibration isolation frame  

作　　者：He LI Dan LIU Lai JIANG Chunyu ZHAO Bangchun WEN 

机构地区：[1]School of Mechanical Engineering and Automation, Northeastern University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第2期265-278,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.51175071);the Fundamental Research Funds for the Central Universities(Nos.N120203001 and N130803001);the National Key Scientific Instrument and Equipment Development Projects(No.2013YQ474765)

摘　　要：This paper studies self-synchronization and stability of a dual-motor driven vibration system with a two-stage vibration isolation frame. Oscillation amplitude of the material box large enough can be ensured on the vibration system in order to screen materials. Reduction of the dynamic load transmitted to the foundation can also be achieved for the vibration system. A Lagrange equation is used to set up the motion differential equations of the system, and a dimensionless coupled equation of the eccentric rotors is obtained using a method of modified average small parameter. According to the existence condition of zero solution in the dimensionless coupled equation of the eccentric rotors, the precondition for commencing self-synchronization motion is achieved.The stability condition of self-synchronization is obtained based on the Routh-Hurwitz criterion. The theoretical analysis is validated by simulations and experiments.This paper studies self-synchronization and stability of a dual-motor driven vibration system with a two-stage vibration isolation frame. Oscillation amplitude of the material box large enough can be ensured on the vibration system in order to screen materials. Reduction of the dynamic load transmitted to the foundation can also be achieved for the vibration system. A Lagrange equation is used to set up the motion differential equations of the system, and a dimensionless coupled equation of the eccentric rotors is obtained using a method of modified average small parameter. According to the existence condition of zero solution in the dimensionless coupled equation of the eccentric rotors, the precondition for commencing self-synchronization motion is achieved.The stability condition of self-synchronization is obtained based on the Routh-Hurwitz criterion. The theoretical analysis is validated by simulations and experiments.

关 键 词：SELF-SYNCHRONIZATION vibration system STABILITY vibration isolation 

分 类 号：TH113.1[机械工程—机械设计及理论]