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

doi:10.1007/s10483-015-1905-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (2): 265-278.doi: https://doi.org/10.1007/s10483-015-1905-7

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

He LI, Dan LIU, Lai JIANG, Chunyu ZHAO, Bangchun WEN

School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

收稿日期:2014-01-15 修回日期:2014-05-30 出版日期:2015-02-01 发布日期:2015-02-01
通讯作者: He LI E-mail:hli@mail.neu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 51175071), the Fundamental Research Funds for the Central Universities (Nos.N120203001 and N130803001), and the National Key Scientific Instrument and Equipment Development Projects (No. 2013YQ474765)

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

He LI, Dan LIU, Lai JIANG, Chunyu ZHAO, Bangchun WEN

School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

Received:2014-01-15 Revised:2014-05-30 Online:2015-02-01 Published:2015-02-01
Contact: He LI E-mail:hli@mail.neu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 51175071), the Fundamental Research Funds for the Central Universities (Nos.N120203001 and N130803001), and the National Key Scientific Instrument and Equipment Development Projects (No. 2013YQ474765)

摘要/Abstract

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.

关键词: vibration system, vibration isolation, stability, self-synchronization

Abstract: 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.

Key words: stability, vibration system, self-synchronization, vibration isolation

中图分类号:

TH113

He LI;Dan LIU;Lai JIANG;Chunyu ZHAO;Bangchun WEN. Self-synchronization theory of dual motor driven vibration system with two-stage vibration isolation frame[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(2): 265-278.

参考文献

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

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

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