Effect of excitation frequency on frequency response characteristics of mistuned blisk
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摘要:
采用一种将基础失谐模型（FMM）、影响系数法和模态叠加法相结合的叶盘强迫振动响应分析方法，在考虑气动阻尼影响的条件下，对多种类型的失谐叶盘在行波激励下的频响特征进行了研究，通过分析不同失谐叶盘的频响曲线，总结行波激励频率对失谐叶盘强迫振动响应的影响规律。结果表明：在典型频率范围内，协调叶盘在行波激励下的强迫振动响应在叠加随机失谐后普遍增大，且在峰值附近出现“响应跳变”现象；进一步叠加交替错频后，叶盘振动响应明显减小，且其频响曲线表现出“多峰”和“响应跳变”现象。
Abstract:The blisk forced response analysis method combining fundamental mistuning model (FMM), influence coefficient method, and modal superposition method was adopted. Considering the influence of aerodynamic damping, the method was used to study the frequency response characteristics of various mistuning blisks under traveling wave excitation. The influence of traveling wave excitation frequency on the forced responses of mistuning blisks was summarized by analyzing the frequency response curves of different mistuning blisks. The results showed that the forced response of tune blisk generally increased after the superposition of random mistuning under traveling wave excitation in typical frequency range, and there was a “response jump” near the peak. After further superposition of alternating mistuning, the forced response significantly decreased, and frequency response curves exhibited “multi peak” and “response jump”.
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Key words:
- blisk /
- forced response /
- mistuning /
- frequency response /
- aerodynamic damping
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图 9 随机失谐叶盘频响曲线（2节径行波激励）
Figure 9. Random mistuned blisk frequency response curves （2 nodal diameter travel wave excitation）
图 11 含2种或3种频率叶片的交替失谐叶盘
Figure 11. Alternating mistuned blisks with 2 or 3 blade frequency types
图 12 不同行波激励下的交替错频叶盘频响曲线
Figure 12. Alternating mistuned blisks frequency response curves under different travel wave excitation
图 13 交替错频叶盘和协调叶盘的频响曲线对比
Figure 13. Frequency response curves of alternating mistuned blisk and tuned blisk
图 14 交替错频叶盘和协调叶盘的频响曲线对比
Figure 14. Frequency response curves of alternating mistuned blisk and tuned blisk
表 1 叶盘设计参数和材料特性系数
Table 1. Design parameters and material characteristics of the blisk
参数 数值 叶片数 27 轮毂直径/叶尖直径 0.537 盘心直径/叶尖直径 0.246 转速/（r/min） 15000 密度/（kg/m3） 4530 泊松比 0.34 弹性模量/GPa 105.5 
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表 2 叶片的气动力影响系数
Table 2. Aerodynamic influence coefficients of the blades
（N/m） 叶片编号$ n $ 实部$ a_{\mathrm{r}}^n $ 虚部$ a_{\mathrm{i}}^n $ 气动力幅值 25 1757.08 5836.44 6095.19 26 1999.11 1678.09 2610.06 27 124494.67 75274.69 145482.65 1 − 13532.99 − 341991.49 342259.15 2 4144.02 110597.65 110675.26 3 2637.27 19010.43 19192.49 4 2457.24 11044.87 11314.91
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