基于非平稳高斯过程的叶栅加工误差不确定性量化

推进技术 ›› 2017, Vol. 38 ›› Issue (8): 1767-1775.

基于非平稳高斯过程的叶栅加工误差不确定性量化

颜勇,祝培源,宋立明,李军,丰镇平

西安交通大学能源与动力工程学院，陕西西安 710049,西安交通大学能源与动力工程学院，陕西西安 710049,西安交通大学能源与动力工程学院，陕西西安 710049,西安交通大学能源与动力工程学院，陕西西安 710049,西安交通大学能源与动力工程学院，陕西西安 710049

发布日期:2021-08-15
作者简介:颜勇，男，硕士生，研究领域为叶轮机械不确定性分析。

Uncertainty Quantification of Cascade Manufacturing Error Based Non-Stationary Gaussian Process

School of Energy and Power Engineering，Xi’an Jiaotong Universtiy，Xi’an 710049，China,School of Energy and Power Engineering，Xi’an Jiaotong Universtiy，Xi’an 710049，China,School of Energy and Power Engineering，Xi’an Jiaotong Universtiy，Xi’an 710049，China,School of Energy and Power Engineering，Xi’an Jiaotong Universtiy，Xi’an 710049，China and School of Energy and Power Engineering，Xi’an Jiaotong Universtiy，Xi’an 710049，China

Published:2021-08-15

摘要/Abstract

摘要： 基于非平稳高斯过程描述叶片加工误差，结合Karhunen-Loeve展开方法，建立了由于加工误差导致的叶片型线几何不确定性表征模型。耦合非嵌入式多项式混沌展开、稀疏网格技术与Reynolds-Averaged Navier-Stokes (RANS)方程求解技术，提出了叶栅加工误差不确定性量化方法，研究量化了加工误差所导致的叶型几何不确定性对典型高负荷Pak-B叶栅气动性能的影响。结果表明，在加工误差影响下，叶片负荷相对于设计值变化[±1%]以上的概率为0.56，总压恢复系数相对于设计值降低1%以上的概率为0.12。详细气动分析表明，斜切部分和尾缘的加工制造精度对Pak-B叶栅气动性能影响显著，相应位置的加工误差应严格控制。

关键词: 非平稳高斯过程；多项式混沌；稀疏网格；加工误差；不确定性量化

Abstract: A parametric model of manufacturing error on geometric variability is derived using a non-stationary Gaussian random process and Karhunen-Loeve expansion. Combined with the non-intrusive polynomials chaos expansion，sparse grid technique and Reynolds-Averaged Navier-Stokes (RANS) solver technique，an uncertainty quantification method for cascade manufacturing error was proposed. Uncertainty quantification of effects of manufacturing error on the aerodynamic performance of a representative high load blade named Pak-B was carried out. Statistics of stochastic output quantities of interest indicate that the probability of variation of the blade loading more than [±1%] relative to the design value is about 0.56 and the probability of reduction of the total pressure recovery coefficient more than 1% relative to the design value is about 0.12. Detailed aerodynamic analysis shows that the manufacturing precision of blade oblique section and trailing edge has a significant effect on Pak-B blade aerodynamic performance and it is possible to minimize the manufacturing error of that to obtain a better aerodynamic performance.

Key words: Non-stationary Gaussian random process；Polynomials chaos；Sparse grid；Manufacturing error；Uncertainty quantification

颜勇,祝培源,宋立明,李军,丰镇平. 基于非平稳高斯过程的叶栅加工误差不确定性量化[J]. 推进技术, 2017, 38(8): 1767-1775.

YAN Yong,ZHU Pei-yuan,SONG Li-ming,LI Jun,FENG Zhen-ping. Uncertainty Quantification of Cascade Manufacturing Error Based Non-Stationary Gaussian Process[J]. Journal of Propulsion Technology, 2017, 38(8): 1767-1775.

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