非線形飛移座屈における安定条件の検討について : 急速加熱・冷却による円板の飛移座屈

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  • A Method of Discussion of the Elastic Stability in Nonlinear Snap Buckling : Snap Buckling of Circular Plates Due to Rapid Heating or Cooling
  • ヒセンケイ トビウツリザクツ ニ オケル アンテイ ジョウケン ノ ケントウ ニ ツイテ

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In order to investigate the stability condition of certain equilibrium states existing in the nonlinear buckling phenomenon as a result of finite deformations, and in order to specify a reasonable deformation process, a method of analysis of the stability criterion in two-dimentional plates or shells is presented. This method is applied to a sample problem concerning the snap buckling of circular plates due to rapid heating or cooling and is found to be of use especially when the Euler equation derived from the variational method is solved by the progressive aptproximation method. Since the effect of the temperature gradient through the thickness resulting from the rapid heating or cooling corresponds to the action of a pressure over the surface, it should be noted that a snap buckling may be induced by this effect, even if there is no initial deflection.

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