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Optimum design of functional acoustic devices using the metasurface

Research Project

Project/Area Number 16K05039
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Computational science
Research InstitutionKyoto University

Principal Investigator

Yamada Takayuki  京都大学, 工学研究科, 助教 (30598222)

Co-Investigator(Kenkyū-buntansha) 松本 敏郎  名古屋大学, 工学研究科, 教授 (10209645)
西脇 眞二  京都大学, 工学研究科, 教授 (10346041)
飯盛 浩司  名古屋大学, 工学研究科, 助教 (50638773)
石井 智  国立研究開発法人物質・材料研究機構, 国際ナノアーキテクトニクス研究拠点, 主任研究員 (80704725)
泉井 一浩  京都大学, 工学研究科, 准教授 (90314228)
藤井 雅留太  信州大学, 学術研究院工学系, 助教 (90569344)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywordsトポロジー最適化 / 音響メタマテリアル / 音響・構造連成効果 / 高周波均質化法 / 高次均質化法 / 音響メタサーフェス / 計算力学 / 漸近展開法 / マルチスケール / 音響・構造連成問題 / ラウドネスモデル / 最適設計 / 均質化法 / レベルセット法 / トポロジー導関数 / 局所共振 / 感度解析 / Biotモデル / メタサーフェス
Outline of Final Research Achievements

We proposed topology optimization method for novel acoustic meta-surfaces that is permeable, visible and provides soundproofing characteristics. First, we developed two-phase material model that is a mixture of an elastic material and acoustic medium, to represent an elastic structure and an acoustic cavity by controlling a volume fraction parameter. Second, the topological derivatives for the two-phase material model was derived and the validity was confirmed by using the finite element analysis. Next, the acoustic meta-surfaces were designed by using the level set based topology optimization method. Finally, we demonstrated the utility of the proposed method by the experiments.

Academic Significance and Societal Importance of the Research Achievements

メタサーフェスは,特異な性質を持つ人工表面構造である.所望の特異な特性を持つように,その形状設計を行う場合,勘や物理的考察に基づく試行錯誤を行ったとしても,所望の特性を得ることは極めて困難である.本研究では,所望の音響特性を持つ,メタサーフェスの統一的な設計手法の基盤技術を構築し,その有効性を確認した.すなわち,本研究で構築した手法を用いれば,今までにはなかったような特異な特性を持つ新音響デバイスの創成設計が可能となった.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (37 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (1 results) Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 3 results) Presentation (31 results) (of which Int'l Joint Research: 13 results,  Invited: 2 results)

  • [Int'l Joint Research] エコール・ポリテクニーク(フランス)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Geometric Shape Features Extraction Using a Steady State Partial Differential Equation System2019

    • Author(s)
      Yamada, T.,
    • Journal Title

      Journal of Computational Design and Engineering

      Volume: 印刷中 Issue: 4 Pages: 647-656

    • DOI

      10.1016/j.jcde.2019.03.006

    • NAID

      120006799255

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method2018

    • Author(s)
      Noguchi Yuki、Yamada Takayuki、Izui Kazuhiro、Nishiwaki Shinji
    • Journal Title

      Computer Methods in Applied Mechanics and Engineering

      Volume: 335 Pages: 419-471

    • DOI

      10.1016/j.cma.2018.02.031

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimum design of a multi-functional acoustic metasurface using topology optimization based on Zwicker’s loudness model2018

    • Author(s)
      Kohei Miyata, Yuki Noguchi, Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki
    • Journal Title

      Computer Methods in Applied Mechanics and Engineering

      Volume: 331 Pages: 116-137

    • DOI

      10.1016/j.cma.2017.11.017

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] A formulation for optimal design problem of compliant displacement magnification mechanisms based on effective energy concept2017

    • Author(s)
      Takayuki YAMADA, Kazuhiro IZUI, Shinji NISHIWAKI
    • Journal Title

      Mechanical Engineering Letters

      Volume: 3 Issue: 0 Pages: 17-00453-17-00453

    • DOI

      10.1299/mel.17-00453

    • NAID

      130007041043

    • ISSN
      2189-5236
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topological derivative for an acoustic-elastic coupled system based on two-phase material model2016

    • Author(s)
      Yuki Noguchi, Takayuki Yamada, Takashi Yamamoto, Kazuhiro Izui, Shinji Nishiwaki
    • Journal Title

      Mechanical Engineering Letters

      Volume: 2 Issue: 0 Pages: 16-00246-16-00246

    • DOI

      10.1299/mel.16-00246

    • NAID

      130005167414

    • ISSN
      2189-5236
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 偏微分方程式による幾何学的特徴量抽出の物理的解釈の試み2019

    • Author(s)
      山田崇恭,近藤継男
    • Organizer
      2019年度精密工学会春季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Thickness constraints for topology optimization using the fictitious physical model2018

    • Author(s)
      Yamada, T.
    • Organizer
      6th International Conference on Engineering Optimization
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimum design of microstructures considering wave dispersion using the high order homogenization method2018

    • Author(s)
      Yamada, T., Allaire, G.
    • Organizer
      The 13th World Congress on Computational Mechanics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimum design of anisotropic acoustic metamaterials based on high-frequency homogenization method2018

    • Author(s)
      Noguchi, Y., Yamada, T., Izui, K., Nishiwaki, S.
    • Organizer
      The Asian Congress of Structural and Multidisciplinary Optimization 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] PDEを基軸としたインテリジェント設計製造プラットフォーム構想の基礎検討2018

    • Author(s)
      山田崇恭
    • Organizer
      第28回設計工学・システム部門講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 高周波均質化法に基づく所望の分散特性の実現を目的とした弾性体メタマテリアルのトポロジー最適化2018

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第28回設計工学・システム部門講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 通風機能と遮音機能を併せ持つ音響メタサーフェスのトポロジー最適化と効果検証2018

    • Author(s)
      深田和範,野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第13回最適化シンポジウム2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 動弾性方程式を対象とした高周波均質化法に基づく弾性体メタマテリアルの最適設計2018

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第13回最適化シンポジウム2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 偏微分方程式による幾何学的形状特徴量抽出とリバースエンジニアリングへの展開の検討2018

    • Author(s)
      山田崇恭
    • Organizer
      2018年度精密工学会秋期大会学術講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 高周波均質化法に基づく所望の分散特性を持つ音響メタマテリアルのトポロジー最適化2018

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      Dynamics and Design Conference 2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 高周波均質化法に基づく異方性音響メタマテリアルのトポロジー最適化2018

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第23回計算工学講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A PDE model for geometrical feature extraction in images and its applications in digital engineering2018

    • Author(s)
      Yamada, T.
    • Organizer
      The Asian Conference on Design and Digital Engineering 2018 (ACDDE2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometrical shape features extraction based on the partial differential equation inspired by the high order homogenization and its application to topology optimization2018

    • Author(s)
      Yamada, T.
    • Organizer
      GSIS International Summer School 2018: The Homogenization Method for Topology Optimization of Structures: Old and New
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] High order homogenization for elastic wave problems using the asymptotic expansion method2017

    • Author(s)
      Yamada, T., Allaire, G.
    • Organizer
      16th GAMM-Seminar on Microstructures
    • Place of Presentation
      Dortmund, Germany
    • Year and Date
      2017-01-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] トポロジー最適化による変位拡大機構の創成設計2017

    • Author(s)
      山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第30回計算力学講演会(CMD2017)
    • Related Report
      2017 Research-status Report
  • [Presentation] ヘルムホルツ方程式を対象とした高周波均質化法に基づく周期構造のトポロジー最適化2017

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第30回計算力学講演会(CMD2017)
    • Related Report
      2017 Research-status Report
  • [Presentation] 音響構造連成問題を対象とした複数材料を用いたレベルセット法に基づくトポロジー最適化2017

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第27回設計工学・システム部門講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 2相材料モデルに基づく複数材料を用いた音響メタサーフェス設計問題に関する基礎検討2017

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      Dynamics and Design Conference 2017
    • Related Report
      2017 Research-status Report
  • [Presentation] 音響構造連成系における負の質量密度を有する音響メタマテリアルの最適設計2017

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] Level set-based topology optimization for a soundproofing acoustic metasurface using Zwicker’s loudness model2017

    • Author(s)
      Noguchi, Y., Miyata, K., Yamada, T., Izui, K., Nishiwaki, S.
    • Organizer
      12th World Congress of Structural and Multidisciplinary Optimisation (WCSMO12),
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Level set-based topology optimization method for the design of a perfectly absorbing metasurface2017

    • Author(s)
      Takahashi, H., Yamada, T., Nishiwaki, S., Izui, K.
    • Organizer
      12th World Congress of Structural and Multidisciplinary Optimisation
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Level set-based topology optimization for multi-material problems2017

    • Author(s)
      Yamada, T., Kishimoto, N., Izui, K., Nishiwaki, S.
    • Organizer
      12th World Congress of Structural and Multidisciplinary Optimisation (WCSMO12)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Level set-based topology optimization for the design of acoustic metamaterial using two-phase material model2016

    • Author(s)
      Noguchi, Y., Yamamoto, T., Yamada, T., Izui, K., Nishiwaki, S.
    • Organizer
      5th Joint Meeting of the Acoustical Society of America and Acoustical Society of Japan
    • Place of Presentation
      Honolulu, USA
    • Year and Date
      2016-12-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 2相材料モデルに基づく音構造連成効果を考慮した音響メタサーフェスのトポロジー最適化2016

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第26回設計工学・システム部門講演会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2016-10-08
    • Related Report
      2016 Research-status Report
  • [Presentation] パレート解集合の非凸性及び多峰性を考慮した多目的最適化法による非均質材料の波動分散特性評価2016

    • Author(s)
      山田崇恭,Allaire, G.
    • Organizer
      第26回設計工学・システム部門講演会
    • Place of Presentation
      横浜
    • Year and Date
      2016-10-08
    • Related Report
      2016 Research-status Report
  • [Presentation] Zwicker のラウドネスモデルに基づく音響構造連成メタサーフェスのトポロジー最適化2016

    • Author(s)
      宮田康平,野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第29回計算力学講演会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2016-09-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 高次均質化法に基づく非均質周期材料の波動分散特性に関する検討2016

    • Author(s)
      山田崇恭,Allaire, G.,
    • Organizer
      第29回計算力学講演会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2016-09-22
    • Related Report
      2016 Research-status Report
  • [Presentation] Design of acoustic metamaterial using level set-based topology optimization2016

    • Author(s)
      Noguchi, Y., Yamada, T., Yamamoto, T., Izui, K., Nishiwaki, S.,
    • Organizer
      7th International Conference on Computational Methods (ICCM2016)
    • Place of Presentation
      Berkeley, California, USA
    • Year and Date
      2016-08-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Level set-based topology optimization of three dimensional wave-motion-converting metasurface in an acoustic-elastic coupled system2016

    • Author(s)
      Noguchi, Y., Yamada, T., Otomori, M., Izui, K., Nishiwaki, S.
    • Organizer
      12th World Congress on Computational Mechanics
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Estimation of upper bound of the dispersive effect in the homogenized wave equation utilizing shape optimization method2016

    • Author(s)
      Yamada, T., Allaire, G.
    • Organizer
      12th World Congress on Computational Mechanics
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 音響構造連成系における3次元波動変換メタサーフェスの最適設計2016

    • Author(s)
      野口悠暉,山田崇恭,泉井一浩,西脇眞二
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      新潟
    • Year and Date
      2016-05-31
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-02-16  

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