AI 中文总结
本文提出基于广义形状函数的二维多材料拓扑优化方法，在体积约束下最小化飞机吊架柔度，并通过挤出获得三维结构，以少量设计变量实现多达14种材料的优化设计。
AI 中文摘要
作为连接发动机与机翼或机身的主要结构部件，飞机吊架需要优化的结构效率；本文利用广义形状函数（gSF）方法对多材料吊架进行拓扑优化。gSF方法在每个单元上使用$n$个自然坐标设计变量，以提供多达$2^n$种不同材料相的优化设计，同时结合密度和公式化的Heaviside投影滤波器促进接近离散的材料布局。在体积约束下最小化吊架的结构柔度。利用典型吊架结构的几何特征，在代表中面的相应二维设计域上进行多材料演化，候选材料多达14种。随后将优化后的二维布局挤出以获得相应的三维优化吊架结构。采用移动渐近线方法获得最终设计变量。所得收敛历史表现出平滑且稳定的目标最小化。结果凸显了多材料拓扑优化框架在无需大幅扩展设计变量集的情况下，有效优化具有多种候选材料的飞机吊架的能力。
英文摘要
As the primary structural component connecting the engine to the wing or fuselage, an aircraft pylon requires optimized structural efficiency; this paper provides topology optimization of multimaterial pylons using the generalized shape function (gSF) approach. The gSF method uses $n$ natural-coordinate design variables per element to provide optimized designs up to $2^n$ distinct material phases while promoting close to discrete material layouts in conjunction with the density and formulated Heaviside projection filters. Pylon structural compliance is minimized subject to volume constraints. Exploiting the geometric features of a typical pylon structure, multimaterial evolution is performed on a corresponding 2D design domain representing the midplane, with up to 14 candidate materials. The optimized two-dimensional layout is then extruded to achieve the corresponding three-dimensional optimized pylon structure. The Method of Moving Asymptotes is employed to achieve the final design variables. The resulting convergence histories exhibit smooth and stable objective minimization. The results highlight the capability of the multimaterial topology optimization framework to effectively optimized aircraft pylons with multiple candidate materials, without requiring a considerable expansion of the design variable set.
