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含二次隔振架的双机驱动振动机的自同步理论研究
Self-synchronization theory of a vibrating system with a two-stage vibration isolation frame driven by two motors
【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 system with a two-stage vibration isolation frame were studied. Owing to the effect of the two-stage vibration isolation,this system had not only enough oscillation amplitude of its material box to screen a material,but also reduced the dynamic load transmitted to the foundation. Here,firstly utilizing Lagrange equation,the differential motion equations of the vibrating system was built. Then,with a modified average small parameter method,the dimensionless coupled equations of eccentric rotors were derived. Furthermore,the condition of existence for zero solution to the dimensionless coupled equations of the eccentric rotors was used to achieve the condition to implement the self-synchronous motion of the vibrating system,and the stability condition of self-synchronous motion was obtained with Routh-Hurwitz criterion. Finally,the numerical simulations were performed to verify the correctness of the theoretical analysis.
【Key words】 self-synchronous motion; vibrating system; stability; vibration isolation;
- 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2014年08期
- 【分类号】TB535
- 【被引频次】18
- 【下载频次】171