SIM-AM 2023

Reaction Diffusion Equation Based Topology Optimization Method for Aesthetic Design

  • Wano, Kosei (Kyoto University)
  • Furuta, Kozo (Kyoto University)
  • Kondoh, Tsuguo (Kyoto University)
  • Izui, Kazuhiro (Kyoto University)
  • Nishiwaki, Shinji (Kyoto University)

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Structural optimization is the design method for maximizing a desired performance based on mathematics and physics. It can be divided into three types, size, shape and topology optimization. Topology optimization has the highest degree of freedom for optimum design and has been applied in a wide variety of products represented by automobiles, and implemented in several CAE software. However, few research has focused on incorporating the preference of aesthetic with the performance of products. In this study, we propose a modified reaction diffusion equation based topology optimization method for aesthetic design. We introduce multiple level set functions representing a structure. And the level set functions are updated via solving the modified reaction diffusion equations. These equations have the anisotropic diffusion terms which enable us to control the aesthetic preference. Here, we consider the stiffness maximization problem based on our proposed optimum design method. Numerical examples are presented to verify the validity and efficiency of our proposed method.