非線形計画法による平板の大たわみ解析 : 第4報, 内周が固定支持された軸対称定厚中空円板, および大たわみ問題の設計式

概要

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The large deflection analysis of the annular plates with clamped inner edges is investigated using the nonlinear programming technique. The distributions of out-of-plane and in-plane displacements and stresses are shown in the three cases. Then, the coefficients of the design formulae for the large deflection problem are proposed for the ten cases given in the previous and the present reports. The three ratios are called a nonlinear stress reduction coefficient, a nonlinear deflection reduction coefficient and an in-plane displacement coefficient, respectively. By multiplying these coefficients by the linear solutions or the thickness of the plates, we can calculate the maximum stress and displacements. Finally, it is concluded that the reduction of the maximum stress is smaller than that of the maximum deflection when the out of plane displacements are of the same order as the plate thickness.
1990-06-25