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Development of highly accurate generalized beam theory without any assumption of the displacement field

Research Project

Project/Area Number 18K04318
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 22020:Structure engineering and earthquake engineering-related
Research InstitutionTohoku University

Principal Investigator

Saiki Isao  東北大学, 工学研究科, 准教授 (40292247)

Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords梁理論 / 断面変形 / せん断補正係数 / せん断遅れ / Poisson効果 / 均質化法 / 代表体積要素 / そり関数 / ねじり / 変位場 / 構造要素 / 周期境界条件 / せん断変形 / Timoshenko梁 / ゆがみ
Outline of Final Research Achievements

For beams with thin-walled wide cross-sections or complex composite cross-sections, deformation of the cross sections deteriorates accuracy of the conventional beam theory. In this study, a mathematical homogenization method is applied to beams to obtain the deformation of the cross section via finite element models with higher accuracy, and a new beam theory that can incorporate this result as a cross-sectional parameter is developed. The developed beam theory realizes accurate analysis of structures which the conventional beam theory has difficulty to treat.

Academic Significance and Societal Importance of the Research Achievements

細長いという前提条件のもとに成り立つ梁理論は,実際には細長くない薄肉幅広断面の構造物にも用いられている.そのために,「補正」という形で対処療法的な修正が行われている.本研究の成果によれば,梁理論に断面変形を陽に取り入れることができるので,計算負荷の高い有限要素を用いずに高精度な解析が可能である.さらに,断面を基準とする設計においても容易に適用が可能である.

Report

(5 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (12 results)

All 2022 2021 2020 2019 2018

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (7 results)

  • [Journal Article] A BEAM THEORY CONSIDERING CROSS-SECTIONAL DEFORMATION DUE TO THE POISSON EFFECT2021

    • Author(s)
      SAIKI Isao、TABUCHI Ko
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 77 Issue: 2 Pages: I_59-I_68

    • DOI

      10.2208/jscejam.77.2_I_59

    • NAID

      130008150518

    • ISSN
      2185-4661
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A BEAM THEORY WITH CROSS-SECTIONAL DEFORMATION DUE TO BOTH SHEAR LAG AND TRANSVERSE SHEAR2021

    • Author(s)
      SAIKI Isao、ZHENG Xun
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 77 Issue: 1 Pages: 1-11

    • DOI

      10.2208/jscejam.77.1_1

    • NAID

      130007971051

    • ISSN
      2185-4661
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] A STUDY OF CONNECTING SOLID AND BEAM ELEMENTS WITH CROSS-SECTIONAL DEFORMATION2020

    • Author(s)
      HOSHIYA Miyu、SAIKI Isao、YAMAMOTO Takeki
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 76 Issue: 2 Pages: I_183-I_191

    • DOI

      10.2208/jscejam.76.2_I_183

    • NAID

      130007980106

    • ISSN
      2185-4661
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] SHEAR DEFORMABLE BEAM THEORY WITH WARPING INDEPENDENT OF SHEAR DEFORMATION2019

    • Author(s)
      SAIKI Isao、ZHENG Xun、YAMAMOTO Takeki
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 75 Issue: 2 Pages: I_3-I_12

    • DOI

      10.2208/jscejam.75.2_I_3

    • NAID

      130007795440

    • ISSN
      2185-4661
    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] ON THE ROTATION OF THE CROSS SECTION FOR THE EVALUATION OF THE SHEAR STIFFNESS OF BEAMS WITH HETEROGENEOUS CROSS SECTION2018

    • Author(s)
      SAIKI Isao、FUJIMOTO Ryuta、YAMAMOTO Takeki
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 74 Issue: 2 Pages: I_3-I_11

    • DOI

      10.2208/jscejam.74.I_3

    • NAID

      130007584456

    • ISSN
      2185-4661
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] せん断遅れによる付加的な応力評価のための機械学習による断面特性推定の試み2022

    • Author(s)
      青木 洋樹
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Poisson効果による断面変形を考慮した一般化梁の定式化とその有限要素の開発2021

    • Author(s)
      田淵 航
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] 断面変形を考慮した梁の動的特性に関する検討2021

    • Author(s)
      星屋 美優
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] 断面変形梁理論に基づくせん断遅れによる付加的な応力の評価2021

    • Author(s)
      三井涼平
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] 断面変形を考慮した梁要素と連続体要素の接続に関する検討2020

    • Author(s)
      星屋 美優
    • Organizer
      応用力学シンポジウム
    • Related Report
      2020 Research-status Report
  • [Presentation] 断面変形を考慮した梁要素と連続体要素の接合に関する考察2019

    • Author(s)
      星屋美優・斉木 功・山本剛大
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] せん断に伴う断面変形を考慮した梁理論に関する考察2019

    • Author(s)
      鄭 勲・斉木 功・山本剛大
    • Organizer
      土木学会東北支部技術研究発表会
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2023-01-30  

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