吸振器与球平衡器并用控制转子不平衡振动的理论研究
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西安建筑科技大学机电工程学院

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O347.6 TH113.1

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Theoretical analysis on imbalance vibration of rotor controlled by dynamic vibration absorber and automatic ball balancer simultaneously
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    摘要:

    球式自动平衡器(Automatic Ball Balancer,简称ABB)可以在临界转速以上区域完全消除转子未知不平衡量,但其缺点是在临界转速附近会引起大振幅的共振响应和不稳定振荡。为此本文提出了增加动力吸振器(Dynamic Vibration Absorber,简称DVA)来克服其缺点、改善其抑振性能。以Jeffcott偏心转子模型为研究对象,根据拉格朗日方程建立了动力吸振器和球式自动平衡器分别单独使用以及两者结合使用时控制转子不平衡振动的动力学方程,使用谐波平衡法理论求解新耦合系统的振幅表达式并分析各参数对稳态幅频曲线的影响规律以获得较合适的参数,采用龙格库塔数值方法计算得到稳态幅频特性图和瞬态振幅时域变化曲线。对比结果表明,两种手段并用的新方案有效降低了转子经过临界共振区时的振动水平,并使转子在临界转速以上区域更快速衰减为零振幅,达到了融合两者优点的目的,具有更优良的制振效果。

    Abstract:

    Automatic Ball Balancer (ABB) can completely eliminate the unknown unbalance of the rotor in the rotational speed range higher than the major critical speed, but its disadvantage is that it will cause resonance response with large amplitude and unstable oscillation near the critical speed. This paper proposes to add Dynamic Vibration Absorber (DVA) to overcome its shortcomings and improve its vibration suppression performance. According to the Lagrange equation, the dynamic equations for unbalanced vibration of the rotor are established when DVA and ABB are used separately and together. The harmonic balance method is used to solve the amplitude expression of the new coupling system, and the influence laws of each parameter on the steady-state amplitude-frequency curve are studied. Steady-state amplitude-frequency characteristic diagram and transient amplitude time-domain curve are obtained by Runge-Kutta numerical method. The comparison results show that the new scheme combining with the two methods effectively reduces the vibration level of the rotor when it passes through the critical resonance region, and makes the rotor vibration attenuate to zero amplitude more quickly above the critical speed. Therefore, the purpose of integrating the advantages of the two devices is achieved, and the vibration suppression effect is better.

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  • 收稿日期:2022-07-24
  • 最后修改日期:2022-11-04
  • 录用日期:2022-11-09
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