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The Buckling of a Cylindrical Shell under Torsion.
https://jaxa.repo.nii.ac.jp/records/35558
https://jaxa.repo.nii.ac.jp/records/35558ff553e2d-35d8-406d-8b5b-26abc57626f3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SA4148652.pdf (2.7 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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| 公開日 | 2015-03-26 | |||||||||
| タイトル | ||||||||||
| タイトル | The Buckling of a Cylindrical Shell under Torsion. | |||||||||
| 言語 | en | |||||||||
| 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_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 著者 |
SEZAWA, Katsutada
× SEZAWA, Katsutada
× KUBO, Kei
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| 出版者 | ||||||||||
| 出版者 | 東京帝國大學航空研究所 | |||||||||
| 出版者（英） | ||||||||||
| 出版者 | Aeronautical Research Institute, Tokyo Imperial University | |||||||||
| 書誌情報 |
東京帝國大學航空研究所報告 en : Report of Aeronautical Research Institute, Tokyo Imperial University 巻 6, 号 76, p. 251-314, 発行日 1931-12 |
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| 抄録（英） | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | The object of this investigation was to study, both mathematically and experimentally, the problem of the buckling of a cylindrical shell, that is clamped or supported at its two ends and subjected to a uniform shearing force. The solutions of the problem are deduced from the differential equations of the forms: [numerical formula], [numerical formula], [numerical formula], in which x and φ are the respective axial and azimuthal coordinates; α is the radius of a cylindrical shell; S_0 the applied shearing force; T_1, T_2 and S are the induced normal and shearing stresses per unit length of the cylinder respectively in the directions x, φ and x-φ; N_1 and N_2 the respective radial shearing forces per unit length of the cross and longitudinal sections; G_1 and G_2 the stress couples at the same two sections; H is the torsional moment of stresses about an axis perpendicular to the surface of the shell; and v and w are the respective components of the displacements of the shell in azimuth and in radial directions. In the course of our calculation we obtained an equation of the type: [numerical formula], where n is the lobes of number or wrinkles along the circumference of the cylinder; m is a quantity specifying the distribution of the displacements along the axis of the cylinder; and D equals [numerical formula], in which E is the Young's modulus, σ is the Poisson's ratio and h the thickness of the shell. Solving this equation with respect to m and n, and taking into account the boundary conditions at the cylinder ends, the authors finally obtained the values of the critical shearing forces, the wave-lengths of the corrugations along the circumference and the inclinations of these corrugations to the axis of the cylinder as follows: [table] In this table, 2b is the length of the cylinder and θ is the inclination of the corrugations to the direction of the axis of the cylinder. A special apparatus was designed for our experiments. The cylindrical shell to be twisted consists of india-rubber sheeting, the thickness used varying from 0.6 to 2.8mm, and stretched over two metal discs, the one forming the top andthe other the bottom end of the shell. A steel shaft runs through the centre of these discs, the upper disc being fixed while the lower disc is free to slide up and down the shaft, the range of motion being from 50mm to 350mm. The diameter of the discs, and therefore the diameter of the cylinder, is 100mm. Only such force is applied that the stresses in the rubber shall satisfy approximately the linearity of the stress-strain relation, and that the rubber shall be free from hysteresis. The principal results of the experiment are summarized as follows. i) The critical force required for a long cylinder as observed in the experiment is two or three times that deduced from theory, while the force required for a short cylinder as derived from experiment accords with that required by theory. ii) the inclination of the corrugation for the range b/a=0.5～3.5 is roughly 40°～13°. iii) The whole surface of the cylinder when buckled consists of a number (whole, not fractional) of equal wave-length; but no corrugation of a fractional wave-length has ever been observed. Even in apparently complicated deformations, it seems that there are superposed groups of corrugations, each group having the same wave-length, iv) Due to certain reasons, in the buckling of one mode of deformation the corrugations of other modes of deformation are also developed, v) It may sometimes happen that, while the stability of a deformation of large amplitude is being maintained, the initial stability of a different mode of vibration will disappear, and the latter mode may become permanently unstable, vi) The shearing force of the buckling takes certain discrete values, according to the number of corrugations, but does not take any intermediate values. Generally speaking, the experiments gave results tending to agreement with those required by mathematical theory. | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00387631 | |||||||||
| 資料番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 資料番号: SA4148652000 | |||||||||
