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

A scale-related optimization method is proposed for thetopology design of cyclic symmetry structures. Within the scope ofmaximizing the structural rigidity, influences of the scale and topology ofrepresentative volume element (RVE) as well as different loading cases uponthe optimal configurations are studied. A dimensionless structure topologyfactor is proposed in this paper to quantify the optimized structureefficiency. By means of solid isotropic material with penalization (SIMP)model and perimeter control method, macro material layout and RVE areoptimized. A contrast topology configuration is obtained withoutcheckerboard. The results demonstrate that the scale-related topologyoptimization method is valid for optimal design of cyclic symmetry structureand that the scale effect of RVE can be well revealed in the optimalconfiguration of the structure.