Geometric dimensionality control of structural components in topology optimization

Abstract The present contribution derives a theoretical framework for constructing novel geometrical constraints in the context of density-based topology optimization. Principally, predefined dimensionality is enforced locally on components optimized structures. These are defined using principal values (singular values) from singular value decomposition points clouds represented by elemental centroids and corresponding relative density design variables. proposed approach numerically implemented demonstrating designing lattice or membrane-like Several numerical examples confirm validity derived geometric control.