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On the Linear Theory of Thin Elastic Shells
https://jaxa.repo.nii.ac.jp/records/44576
https://jaxa.repo.nii.ac.jp/records/4457641de0e45-5d4c-485e-8a81-9dcd4ee4a8d7
名前 / ファイル | ライセンス | アクション |
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naltr0330t.pdf (1.3 MB)
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Item type | テクニカルレポート / Technical Report(1) | |||||
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公開日 | 2015-03-26 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On the Linear Theory of Thin Elastic Shells | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||
資源タイプ | technical report | |||||
著者 |
戸田, 勧
× 戸田, 勧× 古賀, 達蔵× TODA, Susumu× KOGA, Tatsuzo |
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著者所属 | ||||||
航空宇宙技術研究所機体第二部 | ||||||
著者所属 | ||||||
航空宇宙技術研究所機体第一部 | ||||||
著者所属(英) | ||||||
en | ||||||
Second Airframe Division, National Aerospace Laboratory(NAL) | ||||||
著者所属(英) | ||||||
en | ||||||
First Airframe Division, National Aerospace Laboratory(NAL) | ||||||
出版者 | ||||||
出版者 | 航空宇宙技術研究所 | |||||
出版者(英) | ||||||
出版者 | National Aerospace Laboratory(NAL) | |||||
書誌情報 |
en : Technical Report of National Aerospace Laboratory TR-330T 巻 330T, p. 14, 発行日 1973-07 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 線形シエル理論はLoveの1次近似理論が提案されて以来多くの研究者によって研究され,これまでに数多くの理論が提案されている。ところで構造解析を行なう技術者は,どの理論を適用すればよいかという選択の重要性を感じながらも古くから用いられていて,しかも簡潔に表現されているLoveの理論またはDonnellの理論を習慣的に用いることが多い。したがって各理論相互の関係を明確にし,その長短を明らかにすることは重要な課題であるが,これまでになされた多くのすぐれた試みはいずれもテンソル計算と微分幾何の知識を駆使して,普遍的な一般論を展開するあまりに,直感的には難解なものになっている。本報告の目的は,高度な数学的手法を出来るだけさけて単純な誤差精度の比較により近似の課程に得られる種々の表示式と在来の近似式を関連づけることにより,線形シエル理論の一つの考え方を示すことにある。 | |||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | The linear theory of thin elastic shells is discussed within the framework of Kirchhoff-Love’s hypothesis. Various approximate expressions of the strain-displacement relations and the constitutive equations are derived simply neglecting the terms of the order of magnitude of the ratio of the wall-thickness to the least radius of curvature of the shell in comparison with the other terms within the equations. Identity and equivalence of these expressions with the existing ones are indicated. Four sets of the approximate expressions of the constitutive equations are presented, all of which satisfy the equilibrium equations referring to the balance of moment about the normal to the middle surface. Three of them turn out to be identical to those of the existing theories, whereas the remaining one appears to be new. For each of these constitutive equations, the equilibrium equations are written in terms of the displacement in an analogous manner of Donnell for a circular cylindrical shell. Comparison of the resulting eighth order differential equations is made by calculating eigenvalues for some particular cases of loading. The result shows no appreciable difference among the solutions. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0389-4010 | |||||
資料番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 資料番号: NALTR0330T000 | |||||
レポート番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | レポート番号: NAL TR-330T |