非線形計画法による円輪板の大たわみ連成問題の解析 : 面外・面内両変位の幾何学的非線形項を考慮した軸対称問題

概要

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The coupling between the bending and the in-plane deformation under large deflection of annular plates is investigated using a nonlinear programmig theory. The geometrical nonlinear terms in the strain-displacement relations are assumed with not only out-of-plane displacement but also in-plane displacement. The objective function derived from the total potential energy is minimized by the Davidon-Fletcher-Powell method. Numerical examples of axisymmetrical annular plates with clamped inner edge are presented in three cases. The displacements and the stresses are calculated for three boundary conditions of their outer edges. They are clamped edge (Case 1), simply supported edge (Case2) and simply supported movable edge (Case 3). In Case 3, the difference of the results obtained by this method is significant compared with those calculated by the theory considering the nonlinear terms of out-of-plane displacement.
一般社団法人日本機械学会の論文
1991-08-25