Vibration of Bending-Torsion Coupled Resonance in a Rotor
Vibration of Bending-Torsion Coupled Resonance in a Rotor
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DOI：
10.1115/detc2013-12778
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
H. Fujiwara;T. Tsuji;O. Matsushita
中科院分区：
文献类型：
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作者：
H. Fujiwara;T. Tsuji;O. Matsushita
在某些转子系统中，当转速Ω（= 2π Ωrps）等于弯曲固有频率ωB（= 2π fb）与扭转固有频率ωθ（= 2πfθ）之和/差时，会发生弯扭耦合共振。这种耦合效应是由于转子中的不平衡引起的。为了阐明这一现象，推导了弯扭耦合二自由度系统的运动方程，并通过数值仿真验证了这种耦合共振，在无阻尼模型的稳定性分析中，发现在Ωrps = fb + fθ附近存在不稳定转速范围。稳定性的条件也来自阻尼模型的分析。在转动模拟中，发现在Ωrps = fb − fθ和fb + fθ处发生弯扭耦合共振，并通过实验证实了这种共振现象。当转子在水平方向以弯曲固有频率激振时，会出现较大的扭转振动。另一方面，当转子在扭转固有频率下受到扭转激励时，会出现较大的弯曲振动。因此，确定了弯扭耦合共振。Copyright © 2013 by ASME
In certain rotor systems, bending-torsion coupled resonance occurs when the rotational speed Ω (= 2π Ωrps) is equal to the sum/difference of the bending natural frequency ωb (= 2π fb) and torsional natural frequency ωθ(= 2πfθ). This coupling effect is due to an unbalance in the rotor. In order to clarify this phenomenon, an equation was derived for the motion of the bending-torsion coupled 2 DOF system, and this coupled resonance was verified by numerical simulations.In stability analyses of an undamped model, unstable rotational speed ranges were found to exist at about Ωrps = fb + fθ. The conditions for stability were also derived from an analysis of a damped model. In rotational simulations, bending-torsion coupled resonance vibration was found to occur at Ωrps = fb − fθ and fb + fθ.In addition, confirmation of this resonance phenomenon was shown by an experiment. When the rotor was excited in the horizontal direction at bending natural frequency, large torsional vibration appeared. On the other hand, when the rotor was excited by torsion at torsional natural frequency, large bending vibration appeared. Therefore, bending-torsion coupled resonance was confirmed.Copyright © 2013 by ASME