Development of highly accurate generalized beam theory without any assumption of the displacement field
| Project/Area Number |
18K04318
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 22020:Structure engineering and earthquake engineering-related
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| Research Institution | Tohoku University |
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Principal Investigator |
Saiki Isao 東北大学, 工学研究科, 准教授 (40292247)
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| Project Period (FY) |
2018-04-01 – 2022-03-31
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| Project Status |
Completed (Fiscal Year 2021)
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| 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)
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| 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 |
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| 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.
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| 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．
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Report
(5 results)
Research Products
(12 results)
