徳川子爵の討論に關しての質疑 昭和五年十一月十日の妹澤博士の質疑に對し

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概要

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• The buckling of a long elastic plate which is clamped or supported at the edges and subjected to the boundary thrusts is studied in a similar manner as that which one of the authors employed in a paper read in 1925. The solution of the problem of the critical stability is deduced from the differential equation of a plane plate and the existence of the solution is critically examined. The relation between P_1l^2/4D and k^2 for different values of P_2/P_1 is shown in diagrams, where P_1 and P_2 are the thrusts in x-and y-directions respectively, 2b is the breadth of the plate, and D=2Eh^3/3(1-σ^2) in which 2h is the thickness of the plate and E and σ give Young's modulus and Poisson's ratio respectively. The distribution of the corrugated deflection of the plate is also illustrated. To compare the result of the mathematical calculation with some experimental data of a cylindrical shell, a modified differential equation and its solution in which the effect of the curvature is involved are devised. From the results of the mathematical calculation it is confirmed that the critical thrust acting in one direction takes different values by adjusting the magnitude of the thrust acting transversely. The corrugation of the buckled plate has a uniform pitch depending upon the ratio of the thrust P_2/P_1 and edge conditions of that plate. The contour curves of any bulge of the corrugation take different forms in accordance with the conditions at the edges. The authors find a good agreement between the result of calculation and that of Viscount Tokugawa's experiment and they conclude from the comparison of these results that the criterion of stability applicable to the experiments is too complex to be defined in any simple manner.

• 社団法人日本船舶海洋工学会の論文
• 1931-04-30

著者

• 妹澤 克惟

  Tokyo Imperial University

• 徳川 武定

  海軍技術研究所造船研究部

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• 徳川子爵の討論に關しての質疑 昭和五年十一月十日の妹澤博士の質疑に對し
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