一种新的响应面模型及其在轴流压气机叶型气动优化中的应用

 提出了一种轴流压气机二维叶型的参数化定义方法，该方法使用轴流压气机叶型定义中的常用参数，几何意义明确、不容易产生非合理叶型，利用若干例子说明了该方法在重现轴流压气机二维叶型时的逼近精度。给出了一种新的响应面构造模型，该模型首先认为每个样本其临域内的目标分布函数为正态分布，然后用所有样本的分布函数的线性组合构成整个设计变量空间中的响应面。建立了以该响应面模型为基础的轴流压气机叶型的气动数值优化平台，利用该平台完成了2个轴流压气机二维叶型的气动数值优化。

A New Response Surface Model and Its Applications in the Aerodynamic Optimization of Axial Compressor Blade Profile

A parametric method for the axial compressor 2D blade profiles is proposed.The method uses parameters commonly used to define the blade profile geometries.This ensures the parametric method has clear geometrical meaning and can prevent generating unreasonable blade profile.Several illustrations are presented to show the fitting precision of the parametric method.A novel response surface model is proposed.The model regards the objective distribution function in the vicinity of a sample,being able to be represented by normal school,and then the response surface function in whole design space can be generated by linear combination of distribution functions of all samples.Based on the proposed response surface model,a numerical aerodynamic optimization platform for the axial compressor 2D blade profiles is developed.Aerodynamic optimizations of two compressor blade profiles are presented using the developed platform.