加工误差对超声速叶栅气动性能影响的不确定性分析

To study the effects of normal manufacturing error on the aerodynamic performance of supersonic cascade， a model of five-dimensional blade surface geometric variability from normal manufacturing errors was constructed based on Gaussian process and principal component analysis. Combined with the non-intrusive polynomial chaos expansion based on Gaussian distribution and the sparse grid technique， a surrogate mode of cascade performance was proposed. Then， the effects of manufacturing error on the aerodynamic performance of supersonic cascade were predicted by the surrogate model. A loss source model was also proposed to quantify the loss of each part of cascade flow field. The results showed that the total pressure loss coefficient of supersonic cascade was approximately normal distribution under the effects of random manufacturing error. The total pressure loss coefficient was most sensitive to the manufacturing error of the leading edge，and more sensitive to the manufacturing error of the suction surface than to the manufacturing error of the pressure surface， and the sensitivity gradually decreased backward along the chord. According to the mechanism， the leading edge manufacturing error may affect the bow shock wave strength and the leading edge acceleration process，thus affecting the passage shock pattern and forming a cascade loss with a large deviation.