YbDS 涂层碰摩力峰值的 Weibull 分析与超限风险评估

Weibull analysis of rub-impact force peaks and exceedance risk assessment for YbDS coatings

摘要

航空发动机极小的叶片尖隙结构导致叶片与机匣间偶发碰摩故障，为量化连续高速碰摩中周期峰值的随机性及高载荷概率，本文对4种不同结构特征的双硅酸镱（YbDS，ytterbium disilicate）环境障涂层展开高速转子碰摩试验按转子周期分割法向力信号，提取全周波峰并修正基线，并用 Weibull 模型拟合波峰数值，计算 95% 高分位碰摩力 F_0.95及超限概率结果得出：Kolmogorov-Smirnov（K-S）检验 p 值为 0.837、0.764、0.782 和 0.635，均大于 0.05；F_0.95 为 2 706.19、2 190.52、2 046.44、2 085.93 N，均比平均峰值高出 16%以上；涂层 2、3、4 的 Hertz 理论碰摩力高于 F_0.95 39.69%、48.50%、45.69%研究表明，Weibull模型能够准确反映周期峰值离散性和给定工程载荷限值下的超限概率，可为兼顾碰摩载荷风险与涂层性能的涂层设计提供依据。

Abstract

The extremely small blade tip clearance in aero-engines leads to occasional rub-impact faults between the blades and the casing. To quantify the randomness of cyclic peak values and the probability of high loads during continuous high-speed rub-impact, high-speed rotor rub-impact tests were carried out on four ytterbium disilicate (YbDS) environmental barrier coatings with different structural characteristics. The normal force signals were segmented by rotor cycle, and the peaks over the whole cycle were extracted with the baseline corrected. The peak values were then fitted with a Weibull model, and the 95% upper-quantile rub-impact force F_0.95 and the exceedance probability were calculated. The results show that the p values of the Kolmogorov-Smirnov (K-S) test are 0.837, 0.764, 0.782 and 0.635, all greater than 0.05. The F_0.95 values are 2 706.19, 2 190.52, 2 046.44 and 2 085.93 N, all more than 16% higher than the mean peak values. The Hertz theoretical rub-impact forces of coatings 2, 3 and 4 are 39.69%, 48.50% and 45.69% higher than their F_0.95 values. The study indicates that the Weibull model can accurately reflect the dispersion of cyclic peak values and the exceedance probability under a given engineering load limit. It can therefore provide a basis for coating design that balances rub-impact load risk and coating performance.

关键词

环境障涂层 / 双硅酸镱（YbDS） / 高速碰摩 / 周期峰值 / Weibull 模型 / 超限概率

Key words

environmental barrier coating / ytterbium disilicate (YbDS) / high-speed rub-impact / cyclic peak value / Weibull model / exceedance probability

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基金资助

国家重点研发计划项目(2023YFB4302400)

天津市研究生科研创新项目(2025YJSKC01004)