• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A new theory, vectorial and rotational canonical transformation, overcomes a barrier separating structural and mechanism analyses

Research Project

Project/Area Number 22K18853
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 24:Aerospace engineering, marine and maritime engineering, and related fields
Research InstitutionTohoku University

Principal Investigator

Makihara Kanjuro  東北大学, 工学研究科, 教授 (60392817)

Co-Investigator(Kenkyū-buntansha) 大塚 啓介  東北大学, 工学研究科, 准教授 (20881189)
永井 大樹  東北大学, 流体科学研究所, 教授 (70360724)
Project Period (FY) 2022-06-30 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2023: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2022: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Keywords正準変数変換 / 柔軟展開翼 / 可変翼 / モーフィング / 風洞実験 / 航空機モデリング
Outline of Research at the Start

新規理論「ベクトル・回転正準変換」によって,衛星航空機・浮体式洋上風車などの大変形構造物の構造解析と機構解析を統合する挑戦的研究である.現状は「部材レベルの構造解析に回転角を変数とするモデル」,「システムレベルの機構解析にベクトルを変数とするモデル」が別々に使用されている.部材レベルからシステムレベルでの設計に移行する際にモデルを作り直すという致命的な問題が生じる.本研究では部材レベルからベクトルモデリングを行った上で,「ベクトル・回転正準変換」を導入し,この障壁の打破に挑む.これは変換前のベクトルでジョイント表現,変換後の回転角で高精度解析を実現する新規アイデアである.

Outline of Final Research Achievements

In this research, vector modeling was performed from the member level, and a new theory [vector-rotation canonical transformation] was introduced to try to break through this barrier. This was a new idea to achieve joint representation with vectors before the transformation and high-precision analysis with rotational angles after the transformation. Since the proposed integrated modeling method performs vector modeling from the member level, the [difference in variables separating the different fields] was resolved, and both structure and mechanism analyses, which were previously separated, could be seamlessly connected.
To demonstrate the proposed method, experiments were conducted in a wind tunnel at the Institute of Fluid Science, Tohoku University, in collaboration with Professor Nagai. The accuracy of the analysis was verified at the component level using an airfoil model.

Academic Significance and Societal Importance of the Research Achievements

国際共同研究を通して,【異分野を分かつ変数の相違】を解決することで,これまで断裂していた構造解析と機構解析のシームレスな統合を実現する挑戦的意義を有する.これまでに培った計測方法を統合し,システムレベルでの構造・機構連成挙動の風洞実験という過去研究の知見・データが圧倒的に乏しい実験領域に挑戦する意義を有する.提案する【ベクトル・回転正準変換】は細長梁のみならず,板やソリッドに拡張し,高高度風力発電システムや羽ばたきドローンなど多様な構造に適用可能な萌芽性を有する.

Report

(3 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • Research Products

    (27 results)

All 2024 2023 2022 Other

All Int'l Joint Research (2 results) Journal Article (8 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 8 results,  Open Access: 7 results) Presentation (17 results) (of which Int'l Joint Research: 12 results)

  • [Int'l Joint Research] University of Mancester/University of Leeds/Aston University(英国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] University of Chester/University of Manchester/Aston University(英国)

    • Related Report
      2022 Research-status Report
  • [Journal Article] Hamiltonian formulation with reduced variables for flexible multibody systems under linear constraints: Theory and experiment2023

    • Author(s)
      Dong Shuonan、Otsuka Keisuke、Makihara Kanjuro
    • Journal Title

      Journal of Sound and Vibration

      Volume: 547 Pages: 117535-117535

    • DOI

      10.1016/j.jsv.2022.117535

    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Moving Morphable Multi Components Introducing Intent of Designer in Topology Optimization2023

    • Author(s)
      Otsuka Keisuke、Dong Shuonan、Kuzuno Ryo、Sugiyama Hiroyuki、Makihara Kanjuro
    • Journal Title

      AIAA Journal

      Volume: 61 Issue: 4 Pages: 1720-1734

    • DOI

      10.2514/1.j062210

    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Performance Evaluation of Magnetostrictive Small Wind Turbines Using Fe?Co Alloy?Based Clad Sheets2023

    • Author(s)
      Ueno Toshiki、Nakaki Takeru、Mukogawa Taisei、Dong Shuonan、Kurita Hiroki、Otsuka Keisuke、Makihara Kanjuro、Narita Fumio
    • Journal Title

      Advanced Engineering Materials

      Volume: 25 Issue: 19

    • DOI

      10.1002/adem.202300185

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 20202022

    • Author(s)
      Otsuka Keisuke、Makihara Kanjuro、Sugiyama Hiroyuki
    • Journal Title

      Journal of Computational and Nonlinear Dynamics

      Volume: 17 Issue: 8 Pages: 080803-080803

    • DOI

      10.1115/1.4054113

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamics and Energy Analysis of Nonequatorial Space Elevator Using Three-Dimensional Nonlinear Finite Element Method Extended to Noninertial Coordinate System2022

    • Author(s)
      Kuzuno Ryo、Dong Shuonan、Okada Taiki、Otsuka Keisuke、Makihara Kanjuro
    • Journal Title

      IEEE Access

      Volume: 10 Pages: 43964-43980

    • DOI

      10.1109/access.2022.3168666

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Joint parameters for strain-based geometrically nonlinear beam formulation: Multibody analysis and experiment2022

    • Author(s)
      Otsuka Keisuke、Dong Shuonan、Fujita Koji、Nagai Hiroki、Makihara Kanjuro
    • Journal Title

      Journal of Sound and Vibration

      Volume: 538 Pages: 117241-117241

    • DOI

      10.1016/j.jsv.2022.117241

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Strain-Based Geometrically Nonlinear Beam Formulation for Rigid?Flexible Multibody Dynamic Analysis2022

    • Author(s)
      Otsuka Keisuke、Wang Yinan、Palacios Rafael、Makihara Kanjuro
    • Journal Title

      AIAA Journal

      Volume: 60 Issue: 8 Pages: 4954-4968

    • DOI

      10.2514/1.j061516

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Consistent Strain-Based Multifidelity Modeling for Geometrically Nonlinear Beam Structures2022

    • Author(s)
      Otsuka Keisuke、Wang Yinan、Fujita Koji、Nagai Hiroki、Makihara Kanjuro
    • Journal Title

      Journal of Computational and Nonlinear Dynamics

      Volume: 17 Issue: 11 Pages: 111003-111003

    • DOI

      10.1115/1.4055310

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Moving Morphable Components based on Strain-Based Beam Formulation for Topology Optimization2024

    • Author(s)
      Otsuka, K., Dong, S., Kuzuno, R., Sugiyama, H., and Makihara, K.
    • Organizer
      AIAA Scitech 2024 Forum
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Analysis-Oriented Moving Morphable Components for Topology Optimization2023

    • Author(s)
      Otsuka, K., Dong, S., Kuzuno, R., and Makihara, K.
    • Organizer
      AIAA Scitech 2023 Forum
    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Dominant Geometrical Factor in Non-Equatorial Space Elevator Dynamics2023

    • Author(s)
      Kuzuno, R., Dong, S., Takahashi, Y., Okada, T., Shizuno, Y., Otsuka, K., and Makihara, K.
    • Organizer
      34th International Symposium on Space Technology and Science
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] High-Precision Multibody Model for Space Elevator Including Torsional Deformation2023

    • Author(s)
      Kuzuno, R., Dong, S., Takahashi, Y., Otsuka, K., and Makihara, K.
    • Organizer
      74th International Aeronautical Congress (IAC)
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Flutter Harvester Using Flexible Plates with Piezoelectric Film2023

    • Author(s)
      Mukogawa, T., Dong, S., Jia, Y., Shi, Y., Soutis, C., Kurita, H., Narita, F., Otsuka, K., and Makihara, K.
    • Organizer
      20th International Conference on Flow Dynamics
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Structural Optimization of Flexible Multibody Systems with Deployment Mechanism2023

    • Author(s)
      Watanabe, S., Dong, S., Otsuka, K., and Makihara, K.
    • Organizer
      20th International Conference on Flow Dynamics
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Aeroelastic Simulation Framework for Membrane Wings2023

    • Author(s)
      Otsuka, K., Dong, S., Fujita, K., Nagai, H., and Makihara, K.
    • Organizer
      23rd International Symposium on Advanced Fluid Information
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 大変形する展開構造物の構造最適化2023

    • Author(s)
      4.渡辺聡史, DONG Shuonan, 大塚啓介, 槙原幹十朗
    • Organizer
      日本機械学会東北支部第58期総会講演会
    • Related Report
      2022 Research-status Report
  • [Presentation] 非線形有限要素法によるテザー構造物の大変形解析2023

    • Author(s)
      5.髙橋侑也, 葛野諒, DONG Shuonan, 岡田大規, 静野芳崇, 大塚啓介, 槙原幹十朗
    • Organizer
      日本機械学会東北支部第58期総会講演会
    • Related Report
      2022 Research-status Report
  • [Presentation] Strain-Based Geometrically Nonlinear Beam Formulation for Multibody Dynamic Analysis2022

    • Author(s)
      Otsuka, K., Wang, Y., Palacios, R., and Makihara, K.
    • Organizer
      AIAA Scitech 2022 Forum
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Development of Multibody Dynamics Formulation Based on Canonical Theory2022

    • Author(s)
      Dong, S., Otsuka, K., Wang, Y., Fujita, K., Nagai, H., and Makihara, K.
    • Organizer
      33rd International Symposium on Space Technology and Science
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Flexible Rotating Multibody Analysis Using Extended NPFEM for Non-Equatorial Space Elevator2022

    • Author(s)
      Kuzuno, R., Dong, S., Takahashi, Y., Okada, T., Shizuno, Y., Otsuka, K., and Makihara, M.
    • Organizer
      10th Asian Conference on Multibody Dynamics
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Investigation of Flutter Velocity and Power Generation with Piezoelectric Film2022

    • Author(s)
      Dong, S., Mukogawa, T., Hara, Y., Otsuka, K., Chen, B., Shi, Y., Jia, Y., Soutis, C., Kurita, H., Narita, F., and Makihara, K.
    • Organizer
      19th International Conference on Flow Dynamics
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Geometrically Nonlinear Beam Model for Slender Multibody Wings2022

    • Author(s)
      Otsuka, K., Wang, Y., Cheng, K., Dong, S., Fujita, K., Palacios, R., Nagai, H., and Makihara, K.
    • Organizer
      22nd International Symposium on Advanced Fluid Information
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] プロペラと主翼の空力干渉を考慮した高アスペクト比翼の非線形空力弾性解析2022

    • Author(s)
      1.大塚啓介,Dong Shuonan,槙原幹十朗
    • Organizer
      第64回構造強度に関する講演会
    • Related Report
      2022 Research-status Report
  • [Presentation] モデル縮約したハミルトニアン形式の柔軟マルチボディシステム解析2022

    • Author(s)
      2.DONG Shuonan,葛野諒,岡田大規,静野芳崇,大塚啓介,槙原幹十朗
    • Organizer
      日本機械学会2022年度年次大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 非慣性座標系へ拡張した非線形有限要素法による非赤道上宇宙エレベータの3次元動解析2022

    • Author(s)
      3.葛野諒,董鑠男,高橋侑也,岡田大規,静野芳崇,大塚啓介,槙原幹十朗
    • Organizer
      第66回宇宙科学技術連合講演会
    • Related Report
      2022 Research-status Report

URL: 

Published: 2022-07-05   Modified: 2025-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi