Method of rub-induced booster rotor/stator coupled vibration characteristics analysis
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摘要:
针对碰摩引发的增压级部件或篦齿封严结构的转静耦合振动问题,为克服当前动力学特性评估方法所存在的未计入碰摩非线性影响和参数影响规律不明晰的不足,建立增压级转静耦合动力学模型,求解振动响应并分析稳定性,并研究关键参数对稳定性的影响规律。结果表明:增压级转静子耦合振动响应有稳定、持续和失稳三种运动状态,存在主、次失稳转速区间;区间位置随转静模态频率线性变化,随节径数反比例变化,区间长度和个数随转静子阻尼的增大、碰摩力和初始扰动的减小而减小;尽快升速通过失稳转速区间有利于控制系统振幅,避免剧烈耦合振动发生;基于正负耦合共振裕度的传统方法不能合理评估耦合振动动力学行为,其只能预测主失稳转速区间位置,且结果偏小。
Abstract:In view of coupled vibration of boosters and labyrinth seals rotor/stator structure, and for overcoming the drawback of the prevailing method which disregards the effects of the nonlinearity of rub-impact and fails to identify the influence of key parameters, a coupled vibration dynamic model of booster rotor/stator was established, and the coupled vibration was calculated. Furthermore, the motion stability was analyzed and the influence of key parameters was revealed. The results showed three vibration modes of the coupled vibration: damped mode, sustained mode and divergent mode. Consequently, primary and secondary instability regions can be detected. The location of the instability region varied linearly with the modal frequencies, and changed inversely with the nodal diameters. Accordingly, the length and the number of the instability region reduced as the rotor/stator damping increased or the rubbing force and the initial excitation decreased. The higher angular acceleration indicated the lower coupled vibration amplitude. The results also showed the drawback of the traditional method based on the coupled resonance margin when predicting the dynamic response of the rotor/stator coupled vibration. Only the primary instability regions can be identified and the results were lower than the numerical results.
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Key words:
- booster /
- rotor/stator rubbing /
- coupled vibration /
- stability /
- instability region /
- resonance margin
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表 1 模态坐标多自由度模型参数表
Table 1. Parameters of multi-degree-freedom model in modal coordinate
参数 数值 ξ1 0.02 ξ2 0.02 β1 1 β2 2 S 2 nc 3 nr 3 Nb 30 表 2 不同转速下转静子的运动状态
Table 2. Response behaviors of rotor/stator system under different rotational velocities
转速 运动状态 <1.06 稳定 1.06~1.15 持续 1.15~1.39 失稳 >1.39 稳定 表 3 修改后模态坐标多自由度模型参数表
Table 3. Revised parameters of multi-degree-freedom model in modal coordinate
参数 数值 ξ1 0.02 ξ2 0.05 β1 1 β2 2 kc 1 S 2 nc 3 nr 3 X3 (τ=0) 5 -
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