A node-based parameterization for bead-like features in shape optimization

Node-based shape optimization has great potential for generating optimal structures. Although technically superior, such structures tend not to be accepted in the industry due to their unconventional appear- ance. In contrast, engineers design clear and distinguishable features, such as bead patterns, based on experience and tradition. However, when using empirical design methods, it can be difficult or even impossible to meet the functional requirements. The situation is exacerbated as stricter regulations and increasing requirements for loads and geometric shapes become more complex. A suitable parameterization technique that generates engineering-looking shapes can help. In this paper, we present a novel parameterization approach to generate bead-like patterns that result in interpretable optimized shapes due to their engineering-like appearance and clean feature lines. We achieve this by using the open-close operator from mathematical morphology. The mor- phological operation leads to plateaus at different heights. The complete set of boundaries described by the plateaus indicates the global beading pattern of the geometry. Vertex Morphing is used to smooth the transition areas between the plateaus and ensure the smoothness of the mesh. The approach is applied to academic and industrial examples to demonstrate the relevance of the method.     «

Node-based shape optimization has great potential for generating optimal structures. Although technically superior, such structures tend not to be accepted in the industry due to their unconventional appear- ance. In contrast, engineers design clear and distinguishable features, such as bead patterns, based on experience and tradition. However, when using empirical design methods, it can be difficult or even impossible to meet the functional requirements. The situation is exacerbated as stricter...     »