非線形飛移座屈におけるたわみ波形について : 外圧による小曲率棒の飛移座屈

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  • On the Finite Deformation Mode in the Nonlinear Snap Buckling : Snap Buckling of Curved Beams Having Small Curvature under Uniform External Pressure
  • ヒセンケイ トビウツリザクツ ニ オケル タワミ ハケイ ニ ツイテ

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抄録

The nonlinear snap buckling problem of curved beams having small curvature due to external pressure, in which it is possible to obtain the exact solution, was taken up as an example to discuss the question (1) whether or not the approximate methods usually used in the analysis of nonlinear elastic problems are proper to define the buckling load and, (2) whether or not an asymmetrical deflection might give a lower buckling value, as pointed out previously. The comparison of the exact solution with approximate solutions showed that the assumed deflection mode had a great influence on the buckling load. Further, the analytical results that the buckling loads obtained in the asymmetrical mode are smaller compared with those in symmetrical modes are found to be true only within the degree of precision of the approximate solutions themselves. The reason is that the symmetrical deflection mode derived from the exact solution of the nonlinear equation gives the minimum buckling load. These analytical results seem to suggest the need for scrupulous attention to the assumed deflection mode in the approximation method necessary for the two-dimensional problems, such as problems of plates and shells.

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