Transient dynamic response analysis of rotor during shutdown after blade loss
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摘要:
为揭示叶片丢失后转子系统停车过程动力响应特征,研究了叶片丢失后叶盘转动惯量非对称性及停车过程变转速特征,建立了非对称变速转子瞬态动力响应分析模型,对叶片丢失后转子系统停车过程瞬态响应进行了分析。结果表明:叶片丢失瞬间及转子过共振区,转子系统的瞬态振动响应加剧,并伴有横向固有振动。当转动惯量非对称比例为0.2时,转子系统响应峰值与不考虑轮盘非对称性相差58%。因此,对于大质量叶片或多叶片丢失情况,轮盘转动惯量非对称性就不能忽略,表明所建转子动力学模型可以有效分析大非对称转子停车过程复杂振动响应特征。
Abstract:In order to reveal the dynamic response characteristics of the rotor system during shutdown after aero-engine blade loss, considering the blade disk moment of inertia asymmetry and the characteristics of variable speed during shutdown, the transient dynamic response analysis model of asymmetric variable speed rotor was established to analyze the transient response of rotor system during shutdown after blade loss. The results showed that when the blade was lost and the rotor passed through the resonance zone, the transient vibration response of the rotor system was intensified, accompanied by transverse natural vibration. When the asymmetric ratio of moment of inertia was 0.2, the peak response of the rotor system differed by 58% without considering the asymmetry of the disk. Therefore, for the loss of large mass blades or multiple blades, the moment of inertia asymmetry can’t be ignored, showing that the established rotor dynamics model can effectively analyze the complex vibration response characteristics of large asymmetric rotor during shutdown.
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Key words:
- asymmetric rotor /
- variable speed /
- shock effect /
- blade loss /
- dynamic response
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表 1 多支撑悬臂转子结构参数
Table 1. Multi-support cantilever rotor structure parameters
参数 数值 叶盘质量(Md)/kg 120 叶盘极转动惯量(Jp)/(kg·m2) 8 轴段长度(l1, l2, l3)/mm 300,300,1400 轴段外径(D1, D2, D3)/mm 160,160,80 轴段内径(d1, d2, d3)/mm 140,140,70 支撑刚度(K1, K2, K3)/107 (N/m) 4,4,4 支撑阻尼(C1, C2, C3)/(N·s/m) 25,25,25 弹性模量E/GPa 210 泊松比μ 0.3 密度ρ/(kg/m3) 7850 阻尼比γ 0.02 不平衡量/(kg·m) 0.01 表 2 不同加速度下转子瞬态响应峰值
Table 2. Transient response peak value of rotor under different accelerations
参数 加速度/(rad/s2) −75 −188 −377 最大响应峰值/mm 1.53 1.24 1 最大响应峰值对应转速/(r/min) 2534 2447 2313 表 3 不同非对称比例下转子瞬态响应结果
Table 3. Transient response results of rotor under different asymmetric ratios
非对称比例 冲击响应峰值/mm 共振响应峰值/mm 0 0.39 1.18 0.05 0.40 1.24 0.1 0.41 1.37 0.2 0.43 1.87 -
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