有限變形を受ける薄い曲面板の強度に就て(1) : 基礎理論

概要

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The general theory of thin shells was formerly investigated by A. E. H. Love, and has been applied to many problems of stability of thin shells and their calculated results compared with the experiments by various investigators. Generally it made clear to be some regular discrepancies between results deduced from Love's theory and the experimental evidences. Th. V. Karman pointed out that Love's theory based on infinitely small deformation of shells is not realized in many cases, actual deformations of shells by external or end pressure are so called "durchschlag", and consequently the stability of thin shells must be discussed taking into account of finite deformation based on non linear differential equations of equilibrium. But his theory has not yet been completed. The anthor at first investigated the general theory of elastisity took account of finite displacement, then obtained the general theory of thin shells under large deformation which forms the generalization of Love's thin shell theory, and as its special case fundamental equation of "durchschlag", lastly showed on the method of derivation of equations refered to some shapes of shells.
社団法人日本船舶海洋工学会の論文
1943-12-30