フェーズフィールド法と感度解析に基づく構造最適化

• 竹澤 晃弘

  広島大学大学院工学研究科社会環境システム専攻

• 西脇 眞二

  京都大学大学院工学研究科機械理工学専攻

• 北村 充

  広島大学大学院工学研究科社会環境システム専攻

書誌事項

タイトル別名

• Structural Optimization Based on the Phase Field Method and Sensitivity Analysis
• フェーズフィールドホウ ト カンド カイセキ ニ モトズク コウゾウ サイテキカ

抄録

This paper discusses a structural optimization method that achieves optimum shape and topology based on the phase field method. The proposed method has the same functional capabilities as a structural optimization method based on the level set method. Since the proposed method does not require extra operations such as re-initialization of the level set function or smoothing of sensitivities, the computational cost is lower than that of typical level set methods. Structural shapes are represented by the phase field function defined in the design domain and optimization of this function is performed by solving a time-dependent reaction diffusion equation. The artificial double-well potential function used in the equation is derived from sensitivity analysis. The proposed method is applied toa two-dimensional linear elastic problem. The provided numerical examples illustrate the convergence of the compliance minimization problem.

収録刊行物

• 日本機械学会論文集Ａ編

  日本機械学会論文集Ａ編 76 (761), 1-9, 2010

  一般社団法人 日本機械学会

キーワード

• Shape Optimization
• Topology Optimization
• Phase Field Method
• Sensitivity Analysis
• Level Set Method

詳細情報

• CRID: 1390001204478049536
• NII論文ID: 110007521036
• NII書誌ID: AN0018742X
• DOI: 10.1299/kikaia.76.1
• ISSN: 18848338
• ISSN: 03875008
• ISSN: http://id.crossref.org/issn/03875008
• NDL書誌ID: 10566480
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10566480
• Web Site: https://www.jstage.jst.go.jp/article/kikaia1979/76/761/76_KJ00005982847/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可