论文标题
机翼的同时形状和拓扑优化
Simultaneous shape and topology optimization of wings
论文作者
论文摘要
本文介绍了一种同时优化飞机机翼外部形状和内部拓扑的方法，目的是将阻力受试者最大程度地减少到多个负载情况下的提升和合规性约束。通过用于空气动力响应和线性弹性有限元的结构响应的源doublet面板方法对物理学进行评估，该响应是单向耦合的。在每次设计迭代中，都采用映射过程来映射当前的机翼形状，并将相应的压力负载映射到覆盖设计域的未限制元件网格。具有和没有僵硬支撑杆的小固定翼飞机的翅膀被优化。由此产生的翅膀显示了内部拓扑，并取决于形状优化的设计自由度。优化机翼的升力分布显示出模式，例如在对翼形状进行优化的翼形状时获得的图案，并在根部的弯矩上有约束。
This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are evaluated by the means of a source-doublet panel method for the aerodynamic response and linear elastic finite elements for the structural response, which are one-way coupled. At each design iteration, a mapping procedure is applied to map the current wing shape and corresponding pressure loads to the unfitted finite element mesh covering the design domain. Wings of small fixed-wing airplanes both with and without a stiffening strut are optimized. The resulting wings show internal topologies with struts and wall-truss combinations, depending on the design freedom of the shape optimization. The lift distributions of the optimized wings show patterns like the ones obtained when performing optimization of wing shapes with constraints on the bending moment at the root.
