Shape optimization of topologically optimized structures using NURBS
Topology optimization using the solid isotropic material penalization method provides a density distribution, which contains elements with intermediate densities between void and solid. A discrete design is obtained by some geometric interpretation of this result, which is often determined manually. Afterwards, the design is sized with respect to stress, sometimes in the framework of a shape optimization. The current work provides a fully automated routine to obtain a geometric interpretation and parameterization of two dimensional topology optimized structures using non-uniform rational Bezier splines (NURBS), and a shape optimization of the parameterized structure afterwards. Automating both steps reduces development time and cost, and allows embedding them into a larger optimization framework (e.g., multidisciplinary or robustness optimization).