2 - Review of Topology Optimization Methods

Summary

To place the proposed bioinspired approach in the proper context, this chapter provides a review of the topology optimization problem and a general overview and demonstration of existing topology optimization techniques. Four different classes of methodologies are discussed: (1) pixel/voxel representations, (2) ground structure-based representations, (3) boundary representations, and (4) emerging methods. For each class, we consider both the established approach and, if applicable, any extension(s) to the established approach or new methodology that utilizes the same underlying principles; each method is demonstrated using a common structural optimization problem, allowing for direct comparison. Where possible, we offer observations regarding the strengths and weaknesses of each approach and recommendations as to how and where each approach should be employed.