Details

Autor(en) / Beteiligte

• Fujii, Garuda
• Takahashi, Masayuki
• Akimoto, Youhei

Titel

CMA-ES-based structural topology optimization using a level set boundary expression—Application to optical and carpet cloaks

Ist Teil von

• Computer methods in applied mechanics and engineering, 2018-04, Vol.332, p.624-643

Ort / Verlag

Amsterdam: Elsevier B.V

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• In this paper, we propose a topology optimization method based on the covariance matrix adaptation evolution strategy (CMA-ES) as a method for solving multimodal structural optimization problems. CMA-ES optimizes level set functions as design variables to minimize the fitness value that is regularized to avoid the ill-posedness of topology optimization using a perimeter constraint. Explicit boundaries between the material and void are obtained using the iso-surface of linearly interpolated level set functions. To show the effectiveness of the proposed method for multimodal structural optimization problems, topology optimization for optical and carpet cloaks is numerically demonstrated. The proposed computational strategy is robust to the settings of the initial configurations, even if the topology optimization problems have multimodal distributions of solutions that include many local minima with insufficient performance, and stably improves the regularized fitness value. The obtained optimal configurations have good performance, and we can obtain them without the trial and error of seeking appropriate initial configurations and adapting strategy parameters. •This paper proposed CMA-ES-based topology optimization using a level set expression.•A box constraint handling technique that adapts the penalty function was proposed.•The minimized fitness was regularized by the perimeter constraint imposed explicitly.•As numerical examples, optical and carpet cloaks were designed for both polarized and unpolarized light.•The fitness is robustly improved without seeking an appropriate initial configuration and adjusting strategy parameters.