A level set based topology optimization method using the discretized signed distance function as the design variables

Shintaro Yamasaki*, Tsuyoshi Nomura, Atsushi Kawamoto, Kazuo Sato, Kazuhiro Izui, Shinji Nishiwaki

*この研究の対応する著者

研究成果: Article査読

21 被引用数 (Scopus)

抄録

This paper deals with a new topology optimization method based on the level set method. In the proposed method, the discretized signed distance function, a kind of level set function, is used as the design variables, and these are then updated using their sensitivities. The signed distance characteristic of the design variables are maintained by performing a re-initialization at every update during the iterated optimization procedure. In this paper, a minimum mean compliance problem and a compliant mechanism design problem are formulated based on the level set method. In the formulations of these design problems, a perimeter constraint is imposed to overcome the ill-posedness of the structural optimization problem. The sensitivity analysis for the above structural optimization problems is conducted based on the adjoint variable method. The augmented Lagrangian method is incorporated to deal with multiple constraints. Finally, several numerical examples that include multiple constraints are provided to confirm the validity of the method, and it is shown that appropriate optimal structures are obtained.

本文言語English
ページ(範囲)685-698
ページ数14
ジャーナルStructural and Multidisciplinary Optimization
41
5
DOI
出版ステータスPublished - 2010 5月
外部発表はい

ASJC Scopus subject areas

  • ソフトウェア
  • 制御およびシステム工学
  • コンピュータ サイエンスの応用
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 制御と最適化

フィンガープリント

「A level set based topology optimization method using the discretized signed distance function as the design variables」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル