Load/environment spectrum driven hybrid life prediction approach for in-service HPT blades
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摘要:
针对航空发动机高压涡轮叶片在服役中疲劳寿命预测难的问题,编制应力和温度相关的服役载荷/环境谱,基于耐久性和损伤容限理论评估其低周疲劳寿命。基于流-热-固耦合仿真模型结合随机森林代理模型计算了叶片疲劳危险位置服役应力温度时间历程,通过多轴雨流计数方法编制载荷/环境谱。基于细节疲劳额定值法的半经验方法评估涡轮叶片裂纹萌生寿命。基于损伤容限理论和Franc3D平台构建物理模型计算涡轮叶片裂纹扩展寿命。结果表明:叶片疲劳危险位置为前缘根部气膜孔处,该处应力、温度预测误差分别为0.4%和0.71%,两者时序强相关,Pearson系数为0.902。建立的半经验-物理混合模型方法的预测寿命与真实叶片统计的平均寿命相比误差约为8%,可为航空发动机涡轮叶片寿命预测和维修间隔制定提供有价值的参考。
Abstract:To address the difficulty in predicting the fatigue life of aero-engine high-pressure turbine blades during service, a stress- and temperature-correlated service load/environment spectrum was developed. The blade low-cycle fatigue life was assessed based on durability and damage tolerance theories. The stress-temperature time histories at critical fatigue locations were computed using a fluid-thermal-structural coupled simulation model combined with a random forest surrogate model. The load/environment spectrum was compiled via the multiaxial rain-flow counting method. The crack initiation life was evaluated using a semi-empirical approach based on the detail fatigue rating method. The crack propagation life was calculated by constructing a physical model on the Franc3D platform grounded in damage tolerance theory. The results demonstrated that the critical fatigue location of the blade was at the film-cooling hole near the leading-edge root. At this location, the prediction errors for stress and temperature were 0.4% and 0.71%, respectively, and their time histories exhibited a strong correlation, with a Pearson coefficient of 0.902. The established semi-empirical-physical hybrid model predicted the blade life with an error of about 8% compared with the average statistical life of actual blades. This approach could provide a valuable reference for predicting the life of aero-engine turbine blades and determining maintenance intervals.
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Key words:
- turbine blade /
- load/environment spectrum /
- crack initiation /
- crack propagation /
- fatigue life
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表 1 材料相关属性
Table 1. Material-related properties
温度T/K 弹性模量
E/GPa切变模量
G/GPa泊松比μ 523.15 168 66.5 0.26 773.15 161.5 63.5 0.27 873.15 151.5 59.5 0.27 1073.15 139.5 52.5 0.29 表 2 稳态边界条件
Table 2. Steady-state boundary conditions
参数 数值 转速/(rad/s) 1581.9 进口燃气温度/K 1604.9 进口冷气温度/K 791.15 进口压强/kPa 1310.8 出口压强/kPa 593.9 冷气流量/(kg/s) 0.1 表 3 载荷/环境谱
Table 3. Load/environment spectrum
循环编号 应力/MPa 温度/K
(峰值)峰值 谷值 1 678.97 548.12 723.46 2 706.69 553.31 779.52 3 754.07 548.97 766.82 4 725.73 576.69 850.60 5 783.8 539.45 854.08 6 804.86 568.87 956.36 7 825.38 488.58 938.17 8 678.04 461.4 933.21 9 547.19 423.85 847.65 10 699.72 573.2 895.66 11 875.94 710.71 937.32 12 884.61 768.78 922.30 13 896.46 102.92 919.12 表 4 裂纹扩展速率参数拟合公式
Table 4. Fitting formula of crack growth rate parameters
参数 拟合公式 C 7.0678 ×10−9exp(−1680 /T)m 3.4953 +1.2468 ×293/T表 5 维修手册裂纹型损伤极限长度规定
Table 5. Damage limit for crack-type in repair manual
损伤区域 损伤容许极限长度/mm 叶片前缘 A区 2 B、C区轴向 1.2 B区径向 1.5 C区径向 0.7 -
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