Shape control methods for reflecting designer intent in topology optimization

In this study, we propose a topology optimization method that considers the geometric features of structures that reflect the design intent. Conventional topology optimization methods evaluate only physical performance as the objective function; thus, it is difficult to obtain the shapes intended by designers. In the proposed method, similarity based on pixel values and distance transformation images of a baseline shape is incorporated into the objective function, thereby enabling optimization that considers not only physical performance but also similarity to the baseline shape. To verify the effectiveness of the proposed method, numerical calculations were performed using a two-dimensional cantilever beam model. Structures similar to a given baseline shape were successfully generated. In addition, a trade-off relationship was observed between similarity and stiffness, demonstrating that adjusting the weighting of the objective function allows for structure optimization while controlling the shape. Furthermore, the proposed method was employed in the design of chair legs, demonstrating its potential for product design applications that achieve both the desired shape and functionality as envisioned by the designer.