Applications of 3D Level Set Topology Optimization

Level set topology optimization defines the solution using the level set function values stored at the nodes of a regular finite element grid. These values represent a signed distance function which indicates the distance from each node to the structural boundaries. During optimization, nodal sensitivities are used to update the level set function values, moving the boundaries to create a more optimal structure. This paper presents two applications of the 3D level set topology optimization procedure aiming to minimize structural compliance subject to a volume constraint. The first application is the internal structure of a light subsonic aircraft wing. The results suggest that an alternative arrangement of ribs and sparse may be a more optimal solution for wing structures. The second application is the internal trabecular bone structure of an os-calcis. Comparison of the modeled optimal structure and the real internal structure suggest the internal bone structure is mechanically optimal.