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Three-dimensional topology optimization method for energy harvesting electromagnetic device

Research Project

Project/Area Number 15K13856
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Design engineering/Machine functional elements/Tribology
Research InstitutionNagoya University

Principal Investigator

Toshiro Matsumoto  名古屋大学, 工学研究科, 教授 (10209645)

Co-Investigator(Kenkyū-buntansha) 飯盛 浩司  名古屋大学, 工学研究科, 助教 (50638773)
Project Period (FY) 2015-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywordsトポロジー最適化 / 設計工学 / エナジーハーベスト / 境界要素法
Outline of Final Research Achievements

Following results have been obtained aiming at establishing fundamental analysis techniques for topology optimization of 3d energy harvesting devices.
(1) Since in the topology optimization analyses, computations of electromagnetic fields for the direct and adjoint problems must be repeated, a fast solver of BEM with low memory requirement has been developed by employing H-matrix method and LU decomposition method. (2) In order to realize the computations of topology optimization problems having objective functions consisting of their eigenvalues, corresponding topological derivatives have been derived analytically. The effectiveness of the derived formulation has been demonstrated through a numerical example of rearranging the eigenvalues. (3) A basic flow of topology optimization for electromagnetic problem has been developed and its validity has been checked through an electromagnetic cloaking example.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • Research Products

    (19 results)

All 2017 2016 2015

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 1 results,  Open Access: 2 results) Presentation (14 results) (of which Int'l Joint Research: 5 results,  Invited: 1 results)

  • [Journal Article] A level-set-based topology optimisation of carpet cloaking devices with the boundary element method2017

    • Author(s)
      Nakamoto K., Isakari H., Takahashi T. and Matsumoto T.
    • Journal Title

      Mechanical Engineering Journal

      Volume: 4 Issue: 1 Pages: 16-00268-16-00268

    • DOI

      10.1299/mej.16-00268

    • NAID

      130005395602

    • ISSN
      2187-9745
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A multi-objective topology optimization for 2D electro-magnetic wave problems with the level set method and BEM2016

    • Author(s)
      Isakari H., Nakamoto K., Kitabayashi T., Takahashi T., Matsumoto T.
    • Journal Title

      European Journal of Computational Mechanics

      Volume: 印刷中 Issue: 1-2 Pages: 165-193

    • DOI

      10.1080/17797179.2016.1181042

    • NAID

      110009940211

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A multi-objective topology optimisation for 2D electro-magnetic wave problems with the level set method and BEM2016

    • Author(s)
      H. Isakari K. Nakamoto, T. Kitabayashi, T. Takahashi, T. Matsumoto
    • Journal Title

      European Journal of Computational Mechanics

      Volume: 未定

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] 境界要素法を用いたクローキングデバイスのレベルセット法に基づくトポロジー最適化2015

    • Author(s)
      中本謙太, 飯盛浩司, 高橋徹, 松本敏郎
    • Journal Title

      計算数理工学論文集

      Volume: 15 Pages: 55-60

    • NAID

      40020679492

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Helmholtz方程式の境界値問題に関連する固有値のトポロジー導関数と高速直接境界要素法を用いたその数値計算2015

    • Author(s)
      飯盛浩司, 北林達也, 高橋徹, 松本敏郎
    • Journal Title

      計算数理工学論文集

      Volume: 15 Pages: 31-36

    • NAID

      40020679396

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] マルチマテリアルレベルセット法と境界要素法を用いた3種類の誘電体のトポロジー最適化2017

    • Author(s)
      松田祐輔, 飯盛浩司, 高橋徹, 松本敏郎
    • Organizer
      機械学会東海支部第66回総会・講演会
    • Place of Presentation
      静岡大学浜松キャンパス
    • Year and Date
      2017-03-14
    • Related Report
      2016 Annual Research Report
  • [Presentation] レベルセット法と境界要素法を用いた3種類の誘電体のトポロジー最適化2016

    • Author(s)
      松田祐輔, 飯盛浩司, 高橋徹, 松本敏郎
    • Organizer
      第12回最適化シンポジウム
    • Place of Presentation
      北海道大学
    • Year and Date
      2016-12-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] Applications of boundary element method to topology optimization problems2016

    • Author(s)
      Toshiro Matsumoto
    • Organizer
      Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation
    • Place of Presentation
      台北,台湾
    • Year and Date
      2016-11-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 境界要素法とレベルセット法に基づく多目的トポロジー最適化のHマトリクス法による高速化2016

    • Author(s)
      中本謙太, 飯盛浩司, 高橋徹, 松本敏郎
    • Organizer
      第26回設計工学・システム部門講演会
    • Place of Presentation
      慶応大学日吉キャンパス
    • Year and Date
      2016-10-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] Acceleration of a multi-objective topology optimisation in 2D electro-magnetic field based on the level-set method and the boundary element method by the H-matrix method2016

    • Author(s)
      Kenta Nakamoto, Hiroshi Isakari, Toru Takahashi and Toshiro Matsumoto
    • Organizer
      BEM/MRM39
    • Place of Presentation
      シエナ,イタリア
    • Year and Date
      2016-09-20
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hマトリクス法により高速化した境界要素法を用いた2次元電磁場におけるトポロジー最適化2016

    • Author(s)
      中本謙太,飯盛浩司, 高橋徹, 松本敏郎
    • Organizer
      電気学会基礎・材料・共通部門大会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
  • [Presentation] A level-set based topology optimisation of cloaking devices with the boundary element method2016

    • Author(s)
      Kenta Nakamoto, Hiroshi Isakari, Toru Takahashi and Toshiro Matsumoto
    • Organizer
      META2016
    • Place of Presentation
      マラガ,スペイン
    • Year and Date
      2016-07-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A topology optimisation of cloaking devices with a boundary element method accelerated by a H-matrix method2016

    • Author(s)
      Kenta Nakamoto, Hiroshi Isakari, Toru Takahashi, Toshiro Matsumoto
    • Organizer
      WCCM & APCOM 2016
    • Place of Presentation
      ソウル
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A topology optimisation of photonic crystals with the Sakurai-Sugiura method and a fast direct BEM2016

    • Author(s)
      Hiroshi Isakari, Tatsuya Kitabayashi, Mizuki Kamahori, Toru Takahashi, Toshiro Matsumoto
    • Organizer
      WCCM & APCOM 2016
    • Place of Presentation
      ソウル
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Acceleration of the boundary element method using H-matrix2016

    • Author(s)
      K. Nakamoto, H. Isakari, T. Takahashi, T. Matsumoto
    • Organizer
      機械学会東海支部第65期総会・講演会
    • Place of Presentation
      機械学会東海支部第65期総会・講演会
    • Year and Date
      2016-03-17
    • Related Report
      2015 Research-status Report
  • [Presentation] SS法と高速直接境界要素法を用いたフォトニックバンドギャップの数値計算について2015

    • Author(s)
      飯盛浩司, 高橋徹, 松本敏郎
    • Organizer
      第44 回電磁界理論シンポジウム
    • Place of Presentation
      ANAホリデイ・インリゾート宮崎
    • Year and Date
      2015-10-29
    • Related Report
      2015 Research-status Report
  • [Presentation] SS法と境界要素法を用いたフォトニックバンド計算とその高速化について2015

    • Author(s)
      飯盛浩司,榛葉裕太,高橋徹,松本敏郎
    • Organizer
      横浜国立大学
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2015-10-10
    • Related Report
      2015 Research-status Report
  • [Presentation] 高精度境界要素法を用いたトポロジー最適化によるクローキングデバイスの設計2015

    • Author(s)
      中本謙太,飯盛浩司,高橋徹,松本敏郎
    • Organizer
      第25回設計工学・システム部門講演会
    • Place of Presentation
      信州大学工学部
    • Year and Date
      2015-09-23
    • Related Report
      2015 Research-status Report
  • [Presentation] 境界要素法とレベルセット法を用いたカーペットクローキングのトポロジー最適化2015

    • Author(s)
      中本謙太,飯盛浩司,高橋徹,松本敏郎
    • Organizer
      日本機械学会2015年度年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-09-13
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2018-03-22  

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