含二次隔振架的双机驱动振动机的自同步理论研究

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (8) : 134-140.

论文

含二次隔振架的双机驱动振动机的自同步理论研究

李鹤，刘丹，姜来，赵春雨，闻邦椿

作者信息 +

The self-synchronization theory of a vibrating mechanism with a two-stage vibration isolation frame driven by two motors

LI He，LIU Dan，JIANG Lai，ZHAO Chun-yu，WEN Bang-chun

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文章历史 +

摘要

研究了一种含有二次隔振架的双机驱动振动机的运动自同步及其稳定性条件。该振动机由于二次隔振架的作用，既可以保证物料箱具有足够大的振幅便于筛分物料，又能减小振动机传递到地基的动载荷。首先利用拉格朗日方程建立了振动机的运动微分方程，利用平均小参数法得到了偏心转子的无量纲耦合方程；然后由偏心转子耦合方程零解存在条件得到了振动机实现自同步运动条件，并根据Routh-Hurwitz判据得到振动机同步运行的稳定性条件。最后，通过数值仿真验证了理论分析的正确性。

Abstract

The conditions of self-synchronization and motion stability regarding a dual-motor drive vibrating mechanism with a two-stage vibration isolation frame are studied. Owing to the effect of the two-stage vibration isolation, this mechanism enables not only enough oscillation amplitude of the material box to screen the material but also reduces the dynamic load transmitted to the foundation. This paper begins with utilizing Lagrange equation to establish differential motion equations of the vibrating mechanism, and follows with a modified average small parameter method to obtain the dimensionless coupled equation of the eccentric rotors. Then the condition of existence for zero solution of dimensionless coupled equation of the eccentric rotors is used to achieve the condition to implement self-synchronous motion of the vibrating mechanism, and the stability condition of self-synchronous motion is obtained by the Routh-Hurwitz criterion. Finally, the numerical simulations are carried out to verify the correctness of the theoretical analysis.

导出引用

李鹤;刘丹;姜来;赵春雨;闻邦椿. 含二次隔振架的双机驱动振动机的自同步理论研究[J]. 振动与冲击, 2014, 33(8): 134-140

LI He;LIU Dan;JIANG Lai;ZHAO Chun-yu;WEN Bang-chun. The self-synchronization theory of a vibrating mechanism with a two-stage vibration isolation frame driven by two motors[J]. Journal of Vibration and Shock, 2014, 33(8): 134-140