Research on Topology Optimization Method for Typical Wings

Abstract

针对机翼的结构设计问题，引入拓扑优化技术在机翼结构最优化设计中，采用变密度方法，建立了“以机翼最小柔度为目标函数，体积减少百分比为约束条件”的数学模型，利用ANSYS软件对某飞机机翼进行静态有限元分析，对不同工况下的机翼结构进行拓扑优化设计。探讨了拓扑优化设计过程中，基本模型建立、优化与非优化区域确定、优化准则选取及优化结果分析与应用等问题。研究结果表明，该结构拓扑优化方法的正确性和有效性，在机翼结构优化设计中具有一定的应用前景。 In order to solve the structural design problem of wing, topological optimization technology is in-troduced in the optimization design of wing structure. By means of variable density method, the mathematical model of “taking the minimum flexibility of the wing as the objective function and the volume reduction percentage as the constraint condition” was established. ANSYS software was used to conduct static finite element analysis of the wing, and the topology optimization design of the wing structure under different working conditions was carried out. The basic model establishment, optimization and non-optimization region determination, optimization criterion selection and optimization result analysis and application are discussed in topology optimization design. The results show that the topology optimization method is correct and effective, and has a certain application prospect in the optimization design of wing structure.