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円筒殻の振動の一解法についてFluggeの方程式にもとづくラグランジュアン
https://yamagata.repo.nii.ac.jp/records/689
https://yamagata.repo.nii.ac.jp/records/689191ef07f-d9a5-4113-8015-d5a6e9859218
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
kiyoue-10-2-07-1_merged.pdf (421.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2007-09-06 | |||||||
| タイトル | ||||||||
| タイトル | 円筒殻の振動の一解法についてFluggeの方程式にもとづくラグランジュアン | |||||||
| 言語 | ||||||||
| 言語 | jpn | |||||||
| 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 | |||||||
| 著者 |
平野, 芳太郎
× 平野, 芳太郎
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| 著者別名 | ||||||||
| 識別子Scheme | WEKO | |||||||
| 識別子 | 2921 | |||||||
| 姓名 | Hirano, Yoshitaro | |||||||
| 内容記述 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | A study of vibrations of cylindrical shells by means of the Lagrangian-minimizing-method has been made by Professor Shin Takahashi. The Lagrangian employed in his method of analysis has been found within the scope of ”Love's first approximation” based on two types of approximations; a) The straight fibres of a shell which are perpendicular to the middle surface before deformation remain so after deformation and do not change their length, and the normal stresses in the thickness direction of the shell may be neglected in comparison with the other stresses. b) The ratio of thickness to radii of curvatures is negligibly small compared to unity. Flugge has obtained stress strain relations by retaining assumption a) but without the use of assumption b). The present paper deals with the Lagrangian corresponding to the fundamental equations called ”Flugge's equation” derived from this system of stress strain relations. First, we find the strain energy of a cylindrical shell and the Lagrangian represented in terms of dispalcements. Secondly, we get the Euler equations coinciding with the Flugge equations and the boundary conditions by means of calculus of variations. Lastly, we have the solutions of this system of equations specified by the boundary values and the Lagrangian given by introducing them into itself which yields the frequency equations being minimized with respect to unknown boundary values. | |||||||
| 書誌情報 |
山形大学紀要.工学 巻 10, 号 2, p. 195-209, 発行日 1969-03-20 |
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| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AN00242991 | |||||||
| その他の言語のタイトル | ||||||||
| その他のタイトル | On a Study of Vibrations of Cylindrical Shells Lagrangian based on the Flugges Equation | |||||||
| タイトル（ヨミ） | ||||||||
| その他のタイトル | エントウカク ノ シンドウ ノ イチカイホウ ニツイテ Flugge ノ ホウテイシキ ニモトヅク ラグランジュアン | |||||||
| 出版者 | ||||||||
| 出版者 | 山形大学 | |||||||
| 出版者（ヨミ） | ||||||||
| 値 | ヤマガタ ダイガク | |||||||
| 別言語の出版者 | ||||||||
| 値 | Yamagata University | |||||||
| 資源タイプ | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | 論文(Article) | |||||||
| 資源タイプ・ローカル | ||||||||
| 値 | 紀要論文 | |||||||
| 資源タイプ・NII | ||||||||
| 値 | Departmental Bulletin Paper | |||||||
| 資源タイプ・DCMI | ||||||||
| 値 | text | |||||||
| 資源タイプ・ローカル表示コード | ||||||||
| 値 | 2 | |||||||
