A consistent grayscale-free topology optimization method using the level-set method and zero-level boundary tracking mesh

Shintaro Yamasaki*, Atsushi Kawamoto, Tsuyoshi Nomura, Kikuo Fujita

*この研究の対応する著者

研究成果: Article査読

20 被引用数 (Scopus)

抄録

This paper proposes a level-set based topology optimization method incorporating a boundary tracking mesh generating method and nonlinear programming. Because the boundary tracking mesh is always conformed to the structural boundary, good approximation to the boundary is maintained during optimization; therefore, structural design problems are solved completely without grayscale material. Previously, we introduced the boundary tracking mesh generating method into level-set based topology optimization and updated the design variables by solving the level-set equation. In order to adapt our previous method to general structural optimization frameworks, the incorporation of the method with nonlinear programming is investigated in this paper. To successfully incorporate nonlinear programming, the optimization problem is regularized using a double-well potential. Furthermore, the sensitivities with respect to the design variables are strictly derived to maintain consistency in mathematical programming. We expect the investigation to open up a new class of grayscale-free topology optimization. The usefulness of the proposed method is demonstrated using several numerical examples targeting two-dimensional compliant mechanism and metallic waveguide design problems.

本文言語English
ページ(範囲)744-773
ページ数30
ジャーナルInternational Journal for Numerical Methods in Engineering
101
10
DOI
出版ステータスPublished - 2015 3月 9
外部発表はい

ASJC Scopus subject areas

  • 数値解析
  • 工学(全般)
  • 応用数学

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