Topology Optimization of a Wing Including Self-Weight Load

Abstract

In this work is presented a material model to include self-weight loads in topology optimization. The proposed approach is focused in the optimization of lifting structures and aims not only to eliminate numerical instabilities due to the weight load but also to improve the solution quality. The algorithm is tested in a two-dimensional benchmark, which is also solved with a conservative formulation of the self-weight problem for comparison of results and validation purposes. Results of this problem shows that the method implemented improves the discreteness of the design of structures subjected to load cases similar to lifting structures and that it finds also efficient designs for conventional load cases in topology optimization problems. After validation, it is optimized the full interior body of a wing where the skin is left out of the design domain. The aerodynamic load is computed assuming a rigid wing and it is also considered the self-weight load. In a first approach, the aerodynamic load is much larger than the wing weight, simulating an airliner wing and the results shows the merits of the code implemented. Then, the wing is optimizing assuming an aerodynamic load matching the wing weight in order to simulate a flying wing aircraft configuration.