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Proof that the Center of Buoyancy is Equal to the Center of Pressure by means of the Surface Integral of Hydrostatic Pressure Acting on the Inclined Ship
https://nias.repo.nii.ac.jp/records/864
https://nias.repo.nii.ac.jp/records/8640c517776-f8d8-44cb-9a88-5dd004c67f14
名前 / ファイル | ライセンス | アクション |
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Proof that the Center of Buoyancy is Equal to the Center of Pressure by means of the Surface Integral of Hydrostatic Pressure Acting on the Inclined Ship (817.1 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
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公開日 | 2022-01-06 | |||||
タイトル | ||||||
タイトル | Proof that the Center of Buoyancy is Equal to the Center of Pressure by means of the Surface Integral of Hydrostatic Pressure Acting on the Inclined Ship | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Center of Buoyancy | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Hydrostatic Pressure | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Inclined Ship | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Surface Integral | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Archimedes' Principle | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Rectangular Section | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Arbitrary Shape | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Gauss’s Integral Theorem | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
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内容記述タイプ | Other | |||||
内容記述 | E(その他) | |||||
著者名(日) |
堀, 勉
× 堀, 勉 |
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著者名(英) |
Hori, Tsutomu
× Hori, Tsutomu |
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著者所属(日) | ||||||
言語 | ja | |||||
値 | 長崎総合科学大学 | |||||
著者所属(英) | ||||||
言語 | en | |||||
値 | Nagasaki Institute of Applied Science | |||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | In this paper, we prove that “ ship's center of buoyancy is equal to the center of hydrostatic pressure ”. This subject is an unsolved problem in physics and naval architecture, even though the buoyancy taught by Archimedes' principle (1) can be obtained clearly by the surface integral of hydrostatic pressure. Then we thought that the reason why the vertical position of the center of pressure could not be determined was that the horizontal force would be zero due to equilibrium in the upright state. As a breakthrough, we dared to assume the left - right asymmetric pressure field by inclining the ship with heel angle θ. In that state, the force and moment due to hydrostatic pressure were calculated correctly with respect to the tilted coordinate system fixed to the floating body. By doing so, we succeeded in determining the center of pressure. Then, by setting the heel angle θ to zero, it was proved that the center of hydrostatic pressure is equal to the well-known center of buoyancy, i.e., the centroid of the cross - sectional area under the water surface. Specifically, the above proof is first shown for a rectangular cross - section, and then for an arbitrary shape of floating body by applying Gauss's integral theorem. |
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言語 | en | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 24239976 | |||||
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収録物識別子タイプ | NCID | |||||
収録物識別子 | AA1274191X | |||||
書誌情報 |
ja : 長崎総合科学大学紀要 en : Bulletin of the Nagasaki Institute of Applied Science 巻 61, 号 2, p. 135-154, 発行日 2022-01-06 |
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発行者 | ||||||
出版者 | 長崎総合科学大学附属図書館運営委員会 | |||||
言語 | ja |