Integrated topology optimization and scale effect analysis of cyclic symmetry sandwich structures

A scale-related optimization method is proposed for the topology design of cyclic symmetry structures. With the objective of maximizing the structural rigidity, the influences of the scale and topology of representative volume element (RVE) as well as different loading cases upon the optimal configurations are studied. A dimensionless structure topology factor is proposed to quantify the structure optimization efficiency. By means of the model of solid isotropic material with penalization (SIMP) and the perimeter control method, the macro material layout and RVE are optimized. A clear topology configuration is obtained without checkerboard. The results demonstrate that the scale-related topology optimization method is valid for optimal design of cyclic symmetry structure and that the scale effect of RVE can be well revealed in the optimal configuration of the structure.