外壓に因る球形殻の挫屈(應用力學)

概要

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Amongst many trials which have been made to explain the discrepancy between the experimental buckling value of a spherical shell and theory, the concept of "Durch schlag" suggested by biezeno, Th. Von Karman and H. Tsien is considered to be the most reasonable one. But as the assumption used in Karman's calculation with regard to the deformation of the shell is not natural, we solved the same problem once more as exactly as possible, by dealing with the equilibrium equations with finite displacement and assuming the reasonable functional form of the deformation. The considerable differences of the results obtained in the present paper from that of Karman and Tsien are that the postbuckling stable equilibrium positions exist also in the region of internal pressure beyond certain values of deformation and solid angle of the buckled part, and that the minimum of the envelope of the post-buckling equilibrium curves does not exist. Using these results, we proposed an opinion as to the mechanism of buckling.
宇宙航空研究開発機構の論文
1950-10-25