针对概念设计阶段机翼设计需要大范围探索设计空间并进行气动结构一体化设计的需求，提出一种基于类别/形状变换函数(class-shape function transformation，CST)的三维机翼气动结构解析参数化建模与优化方法。在二维CST基础上，推导三维CST参数化几何模型的解析函数形式，通过网格自适应离散与结构特征提取技术建立了三维机翼的气动和结构解析参数化模型，能够同时支持包括机翼几何构型、结构布局、结构尺寸、材料属性等参数的气动结构一体化快速建模与优化求解，具备几何模型大范围参数化以及气动、结构模型的建模过程自动化能力。采用该方法对某大展弦比机翼开展气动结构一体化优化设计，对比固定结构布局优化方案，优化结果梁由2个减至1个，翼肋由20个减至15个，质量相比减少26。1％。
Analytical aero-structural modeling and optimization method of three-dimensional wing based on CST
To facilitate the large-scale exploration of design space and the design of aero-structural integration in the conceptual design stage,a three-dimensional parametric modeling and optimization method for wing aero-structural analysis was proposed by using the class-shape function transformation(CST)method.Based on the two-dimensional CST,the analytical function form of the three-dimensional CST parametric geometric model was deduced.Established by using the mesh adaptive discrete and structural feature extraction technology,the aero-structural analysis parametric model of the three-dimensional wing can support the rapid modeling and optimization of the aerodynamic structure integration simultaneously,including parameters of the wing geometry configuration,structural layout,structural size,material properties,etc.Besides,it can automate the modeling process for the geometric models with a wide range of parameterization and aero-structural models.By applying this method,the aerodynamic structure of a large scale wing can be optimized from a multidisciplinary perspective.This method was adopted to work out the design of optimal aerodynamic structure integration for a large aspect ratio wing.According to the optimization result,the number of beams was reduced from 2 to 1,the number of wing ribs reduced from 20 to 15,and the mass reduced by 26.1％.
geometric modelinganalytical parametric modelingclass/shape function transformationwing designaeroelastic optimization
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