外圧に因る球形殼の挫屈(第2報)(特に下限挫屈荷重並びにエネルギー障壁について)

概要

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The buckling of spherical shells under constant external pressure is treated from the energetic view point, based on the pressure-deflection relation obtained previously from the equilibrium equations of the shell under reasonable assumptions. The agreements of the theoretical values of the lower buckling load, the corresponding angle on which the buckled part stands to the center of the sphere and the deflection after buckling with the experimental results are satisfactory. The energy barrier to be jumped over in buckling is reduced to a small value reasonable for the buckling to take place from the idea that the buckling may extend progressively from a certain small segment of the shell to the final stable state. After the present investigation was accomplished, the writers have become aware of the paper by H.S. Tsien, based on the same view point of this paper, which had been left unknown to us owing to the second world war. The reason why we dare to publish the present paper, nevertheless, is that the present method is more exact and our concept as to the energy barrier is considered to be in advance of his results. (Received December 9, 1952)
宇宙航空研究開発機構の論文
1953-02-28