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基于卷积神经网络气动力降阶模型的翼型优化方法
引用本文:王沐晨,李立州,张珺,黄钰棋,张林,石玥.基于卷积神经网络气动力降阶模型的翼型优化方法[J].应用数学和力学,2022,43(1):77-83.
作者姓名:王沐晨  李立州  张珺  黄钰棋  张林  石玥
作者单位:1.中北大学 机电工程学院, 太原 030051
基金项目:国家自然科学基金(51775518)。
摘    要:针对非线性大扰动翼型气动力优化问题,提出了基于卷积神经网络气动力降阶模型的优化方法.该方法用不同形状参数下翼型的气动力数据作为训练信号,训练卷积神经网络翼型气动力降阶模型.采用该气动力降阶模型,以最大升阻比为目标,对翼型进行优化,结果表明该方法可用于大扰动下翼型气动力的预测和优化.该文同时还讨论了池化法和径向基法的训练...

关 键 词:降阶模型  卷积神经网络  优化  径向基函数  参数池化
收稿时间:2021-05-17

An Airfoil Optimization Method Based on the Convolutional Neural Network Aerodynamic Reduced Order Model
WANG Muchen,LI Lizhou,ZHANG Jun,HUANG Yuqi,ZHANG Lin,SHI.An Airfoil Optimization Method Based on the Convolutional Neural Network Aerodynamic Reduced Order Model[J].Applied Mathematics and Mechanics,2022,43(1):77-83.
Authors:WANG Muchen  LI Lizhou  ZHANG Jun  HUANG Yuqi  ZHANG Lin  SHI
Institution:1.College of Mechatronics Engineering, North University of China, Taiyuan 030051, P.R.China2.Department of Mathematics, Taiyuan University, Taiyuan 030001, P.R.China
Abstract:To solve the nonlinear problem of airfoil shape optimization induced by nonlinear large perturbation, an optimization method was proposed based on the convolutional neural network (CNN) aerodynamic reduced order model (ROM). In the method, the aerodynamic forces on different airfoils were used as the training data for the proposed ROM. For the sake of the maximum lift-drag ratios, the ROM was applied to optimize the airfoil shape. The results show the method applies well to the prediction and optimization of airfoil shape dynamics under large perturbation. The improving effects of the parameter pooling and the radial basis function method based training data method on the accuracy of the dimensionality reduction model, were discussed. The reason for the improvement is that, the training data dimensionality reduction can cut down the number of undetermined parameters in the CNN model and make the CNN model converge better under the same data volume.
Keywords:reduced order model  convolutional neural networks  optimization  radial basis function  parameters pooling
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