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The Free Vibration Equations, Natural Frequencies and Modal Characteristics of Closed Circular Cylindrical Shells
https://jaxa.repo.nii.ac.jp/records/44823
https://jaxa.repo.nii.ac.jp/records/44823831c7249-709e-4b06-84a2-cb1507bdbda9
名前 / ファイル | ライセンス | アクション |
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naltr0569t.pdf (3.0 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 | The Free Vibration Equations, Natural Frequencies and Modal Characteristics of Closed Circular Cylindrical 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 |
古賀, 達蔵
× 古賀, 達蔵× 小松, 敬治× KOGA, Tatsuzo× KOMATSU, Keiji |
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著者所属 | ||||||
航空宇宙技術研究所機体第一部 | ||||||
著者所属 | ||||||
航空宇宙技術研究所機体第二部 | ||||||
著者所属(英) | ||||||
en | ||||||
First Airframe Division, National Aerospace Laboratory(NAL) | ||||||
著者所属(英) | ||||||
en | ||||||
Second 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 |
航空宇宙技術研究所報告 en : Technical Report of National Aerospace Laboratory TR-569T 巻 569T, p. 28, 発行日 1979-04 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 周方向に閉じた薄肉弾性円筒シェルの自由振動問題に関して,種々の古典シェル理論の精度を系統的なオーダ評価によって比較し,これらの理論はいずれもKirchhoff-Loveの仮定に含まれる基本誤差内の精度で一致する特性解を与えることを明らかにする。また,Kirchhoff-Loveの仮定のもとで振動方程式および境界条件式に対する最も簡単な近似式を導き,特性解の一般的な諸性質を明らかにするとともに,数値計算によって近似式の精度を確認する。さらにDonnell型の近似式について精度を調べ,その適用範囲を明らかにする。本論文の解析はほゞ次の順序で進める。まず理論によって異った値をとる単位オーダのパラメタ(theory indicators)を導入して,理論ごとに異なる構成方程式を包括的に一組の式で表示する。運動方程式をたわみ変位関数ωのみで表わし,自由振動方程式(八階偏微分方程式)を導く。端末境界条件を与える諸量の関係式をωのみで表わす。Kirchhoff-Loveの仮定に含まれる基本誤差のオーダ評価に基づいて自由振動方程式および端末境界条件式の合理的な一次近似式を導く。その結果,これらの近似式には理論の相異を表わすパラメタがまったく含まれないことを示す。また,同様のオーダ評価から特性解の概形を推定し,自由振動においても静的変形と同様に全体変形モードと縁領域変形モードが存在することを明らかにする。次に,Donnell型の近似式の精度と適用範囲を調べる。数値計算によって解析結果の確認を行う。 | |||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | The relative accuracies of some of the representative classical theories of thin shells are examined by way of the order-of-magnitude comparison of terms involved in the governing equations for the free vibrations of a circular cylindrical shell. Due consideration is made of the boundary conditions. It will be shown in the end that all the well-known classical theories yield valid solutions accurate enough when taking into consideration of the errors inherent in the Kirchhoff-Love hypothesis. A first approximation, consistent with the order-of-magnitude estimate, leads to a system of free vibration and boundary constraining equations. This system is simple in form yet accurate enough for practical purpose. The approximation enables us to gain a good, qualitative estimate of the forms of the characteristic solutions. The accuracy of Donnell-type approximation is also investigated. A detailed account of the historical developments of the subject has been given in order to justify our motivation in dealing with this seemingly, most thoroughly investigated topic. | |||||
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: NALTR0569T000 | |||||
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-569T |