非線形飛移座屈の逐次近似解法について : 均一外圧による球形かくの飛移座屈

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  • On the Solution of Nonlinear Snap Buckling by the Progressive Approximation Method : Snap Buckling of Spherical Shells under Uniform External Pressure
  • ヒセンケイ トビウツリザクツ ノ チクジ キンジカイホウ ニ ツイテ

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A set of nonlinear differential equations based on the finite deformation theory in the two-dimensional shells has been solved by assuming a specified deflection mode because of the difficulty to obtain their exact solution;however, the particular deflection mode assumed has a great effect on the buckling load, giving considerably higher theoretical values than experimental values, as noted in the previous paper. From the above circumstances, the progressive approximation method was applied to the snap buckling problem under uniform pressure of a shallow spherical shell segment having a small value of α=aβ2/t (a : radius, t : thickness, 2β : angle of opening) and a more precise and reasonable solution could be obtained by means of a comparatively simple mathematical treatment. That is, much smaller initial buckling loads were obtained with the deflection mode which varied reasonably with the variations of load and deflection, verifying the suitability of this method.

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