Formulation on Topology Optimization Using the Level Set Method Based on Discrete System and Numerical Experiments
離散システムに基づくレベルセット法を用いたトポロジー最適化の定式化および数値実験

Ryota Sakai, Kenta Yoshihara, Masayuki Kishida, Takahiko Kurahashi, Tetsuro Iyama
2020 Research Reports of National Institute of Technology, Nagaoka College  
In this paper, we present formulation on the topology optimization using the level set method based on the discrete system and results of some numerical experiments. In general, the continuous system is employed in the formulation concerning the topology optimization using the level set method. But, if the formulation on the topology optimization using the level set method based on the discrete system is carried out, the gradient of the volume constraint condition with respect to the level set
more » ... unction is not directly calculated. Therefore, in this study, the gradient equation was defined by the equation derived by the continuous system, and some numerical experiments were performed.
doi:10.24806/rrnitnc.56.0_11 fatcat:fxeurms4kfgnlbyw4mzkl5kpja