Towards Manufacturing-Friendly Shapes in Discrete Topology Optimization
For engineers using topology optimization, this provides a way to evaluate and improve manufacturability of designs, but the approach is incremental as it builds on existing graph theory methods.
The paper addresses shape irregularity in discrete topology optimization by introducing graph-theoretic regularity measures that quantify problematic features like isolated islands and point connections, enabling Pareto-frontier evaluation of design choices.
This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate regularity measures for any discrete optimization algorithm. Shape regularity is quantified by scalar figures ready to evaluate design choices in the form of Pareto-frontiers. Developed metrics deal with information concerning material usage, problematic distribution, and features that complicate manufacturing. The theory is verified by several examples demonstrating the treatment of isolated islands of materials, point connections between material segments, or homogeneity.