非線形計画法によるく形板の大たわみ解析
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概要
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The large deflection of rectangular plates is investigated by the finite element method using a nonlinear programming method, considering the coupling effect between the bending and the in-plane deformation. The basic equations and the energy gradient used in the calculating process of the Davidon-Fletcher-Powell method are given for a rectangular element. Numerical examples of the rigidly clamped square plates with three aspect ratios subjected to the distributed loads are presented. The distributions of the out-of-plane and in-plane displacements and stresses are obtained for the square plate. It is concluded that the maximum deflections obtained by the present method are slightly larger than those of Way's solutions, and that the maximum stresses obtained by this method show lower values compared with those calculated by the small elastic deformation theory.
- 1990-06-25
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