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Development of multi-phase topology optimization method using CMA-ES and its application to optical devices

Research Project

Project/Area Number 17K17778
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Computational science
Design engineering/Machine functional elements/Tribology
Research InstitutionShinshu University

Principal Investigator

Fujii Garuda  信州大学, 学術研究院工学系, 准教授 (90569344)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsトポロジー 最適化 / メタデバイス / メタマテリアル / CMA-ES / クローキング / トポロジー最適化 / 熱伝導制御 / 電気伝導制御 / バイファンクショナルクローク / マルチフィジカルクローク / 光学クローク / サーマルクローク / 直流電流クローク / 音響クローク / レベルセット法
Outline of Final Research Achievements

In this research, we developed a topology optimization for device design problems that involves difficult properties such as multimodality, interdependence between design variables, and high ratio of material properties. Specifically, by using the covariance matrix adaptive evolution strategy (CMA-ES) as an optimization method and implementing an adaptive penalty function method handling box constraints, its effectiveness is shown in actual design problems. By using the developed method, we succeeded in designing a cloaking device that realizes transparency and invisibility in various physics.

Academic Significance and Societal Importance of the Research Achievements

開発された手法は困難な構造設計問題においても初期推定を必要とせず,性能の良い最適化構造を得ることができる.そのため,デバイス開発までの総合的な時間を大幅に短縮することが可能となり,製品開発における設計に必要な時間を短縮することが可能である.

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (17 results)

All 2019 2018 2017 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results,  Open Access: 1 results) Presentation (8 results) (of which Int'l Joint Research: 3 results,  Invited: 3 results) Remarks (2 results)

  • [Journal Article] Optimizing the structural topology of bifunctional invisible cloak manipulating heat flux and direct current2019

    • Author(s)
      Fujii Garuda、Akimoto Youhei
    • Journal Title

      Applied Physics Letters

      Volume: 115 Issue: 17 Pages: 174101-174101

    • DOI

      10.1063/1.5123908

    • NAID

      120007183597

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topology-optimized thermal carpet cloak expressed by an immersed-boundary level-set method via a covariance matrix adaptation evolution strategy2019

    • Author(s)
      Fujii Garuda、Akimoto Youhei
    • Journal Title

      International Journal of Heat and Mass Transfer

      Volume: 137 Pages: 1312-1322

    • DOI

      10.1016/j.ijheatmasstransfer.2019.03.162

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] DC carpet cloak designed by topology optimization based on covariance matrix adaptation evolution strategy2019

    • Author(s)
      Fujii Garuda、Akimoto Youhei
    • Journal Title

      Optics Letters

      Volume: 44 Issue: 8 Pages: 2057-2057

    • DOI

      10.1364/ol.44.002057

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Direct-current electric invisibility through topology optimization2018

    • Author(s)
      Fujii Garuda、Akimoto Youhei、Takahashi Masayuki
    • Journal Title

      Journal of Applied Physics

      Volume: 123 Issue: 23 Pages: 233102-233102

    • DOI

      10.1063/1.5022881

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] CMA-ES-based structural topology optimization using a level set boundary expression?Application to optical and carpet cloaks2018

    • Author(s)
      Fujii Garuda、Takahashi Masayuki、Akimoto Youhei
    • Journal Title

      Computer Methods in Applied Mechanics and Engineering

      Volume: 332 Pages: 624-643

    • DOI

      10.1016/j.cma.2018.01.008

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Exploring optimal topology of thermal cloaks by CMA-ES2018

    • Author(s)
      Fujii Garuda、Akimoto Youhei、Takahashi Masayuki
    • Journal Title

      Applied Physics Letters

      Volume: 112 Issue: 6 Pages: 061108-061108

    • DOI

      10.1063/1.5016090

    • NAID

      120007183596

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] CMA-ES based topology optimization for acoustic cloak2018

    • Author(s)
      高橋 正幸、秋本 洋平、藤井 雅留太
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 84 Issue: 859 Pages: 17-00590-17-00590

    • DOI

      10.1299/transjsme.17-00590

    • NAID

      130006549747

    • ISSN
      2187-9761
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] CMA-ES Based Topology Optimization for Thermal-Electrical Bifunctional Devices2019

    • Author(s)
      Garuda Fujii
    • Organizer
      The 42nd PIERS
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermal electrical bifunctional cloak designed by topology optimization based on CMA-ES2019

    • Author(s)
      Garuda Fujii and Youhei Akimoto
    • Organizer
      ICMAT 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology optimization for acoustic cloak incorporating acoustic-elastic coupling2019

    • Author(s)
      Garuda Fujii and Masayuki Takahashi
    • Organizer
      ICMAT 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] CMA-ESを用いたトポロジー最適化によるクローク・カムフラージュ・イリュージョン2019

    • Author(s)
      藤井雅留太
    • Organizer
      日本応用数理学会研究部会「数理設計」第21回研究集会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] トポロジー最適化の基礎と最新展開2019

    • Author(s)
      藤井雅留太
    • Organizer
      第87回 形の科学シンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] ラプラス方程式におけるクロークの CMA-ES によるトポロジー最適化2018

    • Author(s)
      藤井 雅留太, 秋本 洋平
    • Organizer
      日本機械学会第 31 回計算力学講演会(CMD2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] 設計変数間の依存性を考慮した Sparse CMA-ES とトポロジー最適化への応用2018

    • Author(s)
      藤井 雅留太, 秋本 洋平
    • Organizer
      日本機械学会 第 28 回設計工学・システム部門講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] CMA-ES を用いた音響クローキングデバイスのトポロジー最適化2017

    • Author(s)
      高橋 正幸
    • Organizer
      日本機械学会 第30回計算力学講演会(CMD2017)
    • Related Report
      2017 Research-status Report
  • [Remarks] Garuda Fujii Research Laboratory

    • URL

      http://www.kankyo.shinshu-u.ac.jp/~garudalab/html/index.html

    • Related Report
      2019 Annual Research Report
  • [Remarks] Garuda Fujii Research Group

    • URL

      http://www.kankyo.shinshu-u.ac.jp/~garudalab/html/index.html

    • Related Report
      2018 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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