せん断変形を考慮した一連の平板曲げの理論について : 静荷重を受ける単純支持矩形板に対する各理論の精度の検討

概要

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Various technical theories of elastic plates taking into account the effects of transverse shear deformation have been proposed by many investigators such as Hencky, Mindlin, Reissner, Ambartsumyan, Kromm, Donnell-Lee, Schmidt, Lo et al, Panc and so on. In the present paper, we summarize formulation process of their theories which may be divided into (1) displacement assumption type, (2) stress assumption type and (3) iterative approximation type, by use of many flow-charts and table. Numerical calculations for square plates under sinusoidal loading at the upper surface are carried out for their theories as parameter of thickness-span ratio. These results are compared with the exact solution of the comparable problems in the linear theory of elasticity.
山梨大学の論文