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Synthesis of phononic periodic structures with dynamic damping structure

Research Project

Project/Area Number 23656121
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

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

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Toru  名古屋大学, 大学院・工学研究科, 講師 (90360578)
山田 崇恭  京都大学, 工学(系)研究科(研究院), 助教 (30598222)
Co-Investigator(Renkei-kenkyūsha) YAMADA Takayuki  京都大学, 大学院・工学研究科, 助教 (30598222)
Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsシミュレーション工学 / 振動解析 / シンセシス / 境界要素法 / フォノニック構造
Research Abstract

The present study intended to develop a numerical methodology that can be utilized for synthesizing the periodic structures shutting out the vibration. Such a structure might be realized by embedding substructures, which work as dynamic dampers, comprising different material properties from that of the matrix material. In the present research, we have to repeat calculating the wave transmission properties of infinite and/or finite periodic structures. Moreover, we have to optimize the shape and topology of the periodic structures by repeating the transmission and eigenfrequency analyses. Thus, we developed a fundamental computation algorithm for twodimensional and three-dimensional problems using the boundary element method incorporated with the periodic boundary conditions. Because the final system matrix obtained by the boundary element method provides a nonlinear eigenvalue problem, standard eigensolver has not been used so far. In this study, we applied a contour integral method, so-called block SS-method, to solve this nonlinear eigenvalue problem.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (19 results)

All 2013 2012 2011

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (11 results) (of which Invited: 1 results)

  • [Journal Article] Analysis of band structure for 2D acoustic phononic structure by BEM and the block SS method2013

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari
    • Journal Title

      Computer Modeling in Engineering & Science

      Volume: 掲載決定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Eigenvalue analysis for acoustic problem in 3D by boundary element method with the block Sakurai-Sugiura method2013

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari
    • Journal Title

      Engineering Analysis with Boundary Elements

      Volume: 掲載決定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A study on topology optimization using the level-set function and BEM2012

    • Author(s)
      Toshiro Matsumoto, Takayuki Yamada, Shinichiro Shichi, Toru Takahashi
    • Journal Title

      Boundary Elements and Other Mesh Reduction Methods

      Volume: Vol.34 Pages: 123-133

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of acoustic transmission for one directional periodic bounded structure in 2D by BEM2012

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari
    • Journal Title

      Transactions of JASCOME

      Volume: Vol. 12, Paper No.12-121212 Pages: 67-72

    • NAID

      40019557568

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 三次元境界要素法を用いたレベルセット法に基づくトポロジー最適化2012

    • Author(s)
      志知晋一郎, 山田崇恭, 鈴木皓久, 松本敏郎, 高橋徹
    • Journal Title

      日本機械学会論文集(C 編)

      Volume: 78巻 785 号 Pages: 228-239

    • NAID

      130002051287

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] レベルセット法に基づく境界要素法を用いた定常動弾性問題のトポロジー最適化2012

    • Author(s)
      志知晋一郎, 山田崇恭, 松本敏郎, 高橋徹
    • Journal Title

      計算数理工学論文集

      Volume: 12巻 Pages: 1-6

    • NAID

      40019556954

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 三次元境界要素法を用いたレベルセット法に基づくトポロジー最適化2012

    • Author(s)
      志知晋一郎, 山田崇恭, 鈴木皓久, 松本敏郎, 高橋徹
    • Journal Title

      日本機械学会論文集(C編)

      Volume: 78巻785号 Pages: 228-239

    • NAID

      130002051287

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Eigenvalue analysis for 2D acoustic problem by BEM with block SS method2011

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Takayuki Yamada
    • Journal Title

      Transactions of JASCOME

      Volume: 11 Pages: 107-110

    • NAID

      40019131617

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Analysis of Band Structure for 2D Elastic Phononic Crystals by BEM2013

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari
    • Organizer
      第62回理論応用力学講演会
    • Place of Presentation
      東京工業大学,東京都
    • Related Report
      2012 Final Research Report
  • [Presentation] Analysis of Band Structure for 2D Elastic Phononic Crystals by BEM2013

    • Author(s)
      Haifeng Gao, Toshiro Matsumoto, Toru Takahashi, Hiroshi Isakari
    • Organizer
      第62回理論応用力学講演会
    • Place of Presentation
      東京工業大学,東京都
    • Related Report
      2012 Annual Research Report
  • [Presentation] BEM とブロック SS 法による 3 次元弾性体の自由振動解析2012

    • Author(s)
      高海峰, 松本敏郎, 高橋徹
    • Organizer
      日本機械学会第25回計算力学講演会
    • Place of Presentation
      神戸ポートアイランド南地区,兵庫県
    • Related Report
      2012 Final Research Report
  • [Presentation] BEM に基づく 2 次元音響フォノニック結晶のバンドギャップ解析2012

    • Author(s)
      高海峰, 松本敏郎, 高橋徹, 山田崇恭
    • Organizer
      日本機械学会第25回計算力学講演会
    • Place of Presentation
      神戸ポートアイランド南地区,兵庫県
    • Related Report
      2012 Final Research Report
  • [Presentation] BEM-based eigenfrequency analysis for plane acoustic problems using a path integral method2012

    • Author(s)
      Toshiro Matsumoto, Heifeng Gao, Toru Takahashi, Takayuki Yamada
    • Organizer
      10th World Congress on Computational Mechanics
    • Place of Presentation
      Sao Paulo, Brazil.
    • Related Report
      2012 Final Research Report
  • [Presentation] BEM-based eigenfrequency analysis for plane acoustic problems using a path integral method2012

    • Author(s)
      Toshiro Matsumoto, Heifeng Gao, Toru Takahashi, Takayuki Yamada
    • Organizer
      10th World Congress on Computational Mechanics
    • Place of Presentation
      Sao Paulo, Brazil
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] BEMとブロックSS法による3次元弾性体の自由振動解析2012

    • Author(s)
      高海峰, 松本敏郎, 高橋徹
    • Organizer
      日本機械学会第25回計算力学講演会
    • Place of Presentation
      神戸ポートアイランド南地区,兵庫県
    • Related Report
      2012 Annual Research Report
  • [Presentation] BEM に基づく2 次元音響フォノニック結晶のバンドギャップ解析2012

    • Author(s)
      高海峰, 松本敏郎, 高橋徹, 山田崇恭
    • Organizer
      日本機械学会第25回計算力学講演会
    • Place of Presentation
      神戸ポートアイランド南地区,兵庫県
    • Related Report
      2012 Annual Research Report
  • [Presentation] レベルセット法による形状表現に基づく局所動吸振フォノニック構造のトポロジー最適化に関する一考察2011

    • Author(s)
      山田崇恭,松本敏郎,高橋徹
    • Organizer
      日本機械学会第24回計算力学講演会
    • Place of Presentation
      岡山大学,岡山県
    • Related Report
      2012 Final Research Report
  • [Presentation] レベルセット法による形状表現に基づく局所動吸振フォノニック構造のトポロジー最適化に関する一考察2011

    • Author(s)
      山田崇恭,松本敏郎,高橋徹
    • Organizer
      日本機械学会第24回計算力学部門講演会
    • Place of Presentation
      岡山県,岡山市
    • Related Report
      2011 Research-status Report
  • [Presentation] レベルセット法による形状表現に基づく局所動吸振フォノニック結晶の設計2011

    • Author(s)
      山田崇恭,松本敏郎,高橋徹
    • Organizer
      日本機械学会第21回設計工学・システム部門講演会
    • Place of Presentation
      山形県,米沢市
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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