This study proposes an efficient structural analysis approach for lattice structures composed of various types of unit cells by applying reduction techniques at the unit-cell level. Three analytical models---the full model, the statically reduced model, and the dynamically reduced model---were compared to evaluate computational efficiency and analytical accuracy. Through static deformation and natural frequency analyses, the statically reduced model was found to maintain accuracy equivalent to that of the full model while significantly improving computational efficiency. Furthermore, a multi-objective optimization using the NSGA-II algorithm was conducted to maximize specific bending stiffness and minimize specific torsional stiffness, and the applicability of the reduction techniques to the optimization was investigated. The results showed that the statically reduced model reproduced the optimization trends of the full model and achieved a substantial improvement in computational efficiency. These results indicates that the proposed method provides an efficient analytical approach that contributes to lattice structure design and optimization.
Ichikawa et al. (Thu,) studied this question.