Using antiresonant frequency in the identification of blisk mistuning
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摘要:
整体叶盘受失谐影响会产生响应放大现象导致高周疲劳损伤。为了准确预测失谐叶盘的动力学特性，需要对失谐模式精准识别。提出了一种基于叶盘反共振特性的失谐识别方法，为失谐识别问题提供了一种解决方案。该方法通过测量叶盘反共振峰频率进而获取叶片的失谐量，反共振峰表征叶片悬臂频率，与主体结构无关，受扇区间耦合的影响小，理论识别精度高。该方法重点探究了测点、激励点位置变化对反共振峰频率的影响规律。在识别难度较大的平板叶盘上进行了识别机理仿真与实验验证，仿真中相较现有识别方法误差降低了37.48%。将该方法应用于一真实叶盘模型，识别所得模量失谐模式与真实值基本一致。
Abstract:An integrally bladed disk under the influence of mistuning would produce a response amplification phenomenon that might lead to high-cycle fatigue damage. To accurately predict the dynamic characteristics of the mistuned bladed disk, the mistuning modes should be precisely identified. A mistuning identification method based on the anti-resonance characteristics of the bladed disk was proposed, which provided a new solution to the mistuning identification problem. With this method, the mistuning amount of the blade was obtained by measuring the anti-resonance peaks of the bladed disk. The cantilever frequencies of the blades were characterized by the anti-resonance peak, which was independent of the main structure. The new method was less affected by the coupling between sectors, and had higher theoretical identification accuracy. This method focused on exploring the influence of variations in the position of measurement points and excitation points on the frequencies of anti resonance peaks. The identification mechanism simulation and experimental verification were carried out on a flat bladed disk with higher identification difficulty, and the error in the simulation was reduced by 37.48% compared to existing identification methods. When applying this method to a real bladed disk model, the identified modulus mistuning pattern was basically consistent with the true value.
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Key words:
- blisk /
- mistuning identification /
- anti resonance /
- dynamic vibration absorber /
- disc-blade coupling
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图 1 双自由度动力吸振器力学模型
Figure 1. Mechanical model of dual degree of freedom dynamic absorber
图 4 激励加于盘区时盘区与叶片测点谐响应
Figure 4. Harmonic response between disk and blade measuring points when excitation is applied to the disk area
图 5 3个反共振峰频率下的响应云图
Figure 5. Response cloud map at three anti resonance peak frequencies
图 7 添加去谐质量后盘区与叶片测点谐响应
Figure 7. Harmonic response between disk and blade measuring points after adding detuning mass
图 9 反共振峰频率随测点变化云图
Figure 9. Cloud map of the anti resonance peak frequencies changing with the measurement point
图 10 径向不同激励点下测点1响应
Figure 10. Response of measurement point 1 under different radial excitation points
图 11 不同激励方向下测点1响应
Figure 11. Response of measurement point 1 under different excitation directions
图 12 激励旋转45°时干扰反共振峰对应响应云图
Figure 12. Response cloud map corresponding to the disruptive anti resonance peak when the excitation direction is rotated 45 degrees
图 13 反共振法失谐识别流程图
Figure 13. Flow chart of anti resonance method for mistuning identification
图 14 平板叶盘共振峰反共振峰频率
Figure 14. Resonance peak and anti resonance peak frequency of flat blisk
图 15 叶片1共振反共振峰频率随盘厚度变化
Figure 15. Frequency of the resonance and anti resonance peak of blade 1 varies with the thickness of the disc
图 16 叶片1反共振峰较共振峰误差减小百分比
Figure 16. Percentage reduction in error of the anti resonance peak of blade 1 compared to the resonance peak
图 19 3种方法别模量失谐模式相对误差
Figure 19. Three methods for identifying the relative error of modulus mistuning mode
图 21 1号叶片实验与仿真FRF对比图
Figure 21. Comparison between experimental and simulated FRF of blade 1
图 22 实验与仿真所得共振峰频率、反共振峰频率对比图
Figure 22. Comparison of resonance peak frequency and anti resonance peak frequency obtained from experiments and simulations
图 23 各组频率失谐模式对比图
Figure 23. Comparison chart of frequency mistuning modes among different groups
图 28 大失谐叶盘识别模量失谐模式
Figure 28. Identification of modulus mistuning mode for large mistuned blisk
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