シェル構造の大変形弾塑性設計感度解析法と構造最適化への応用

概要

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An exact and direct sensitivity analysis technique of large deformation and buckling load for elastoplastic material governed by a bilinear constitutive law has been developed based on the implicit differentiation method. The sensitivity equation of the displacement increments has been derived from the Newton-Raphson iteration scheme, and a practical pseudo loading terms due to the sensitivities of the stiffness matrices and the internal load vector have been formulated by considering discontinuity of the displacement sensitivity at the yielding point. The validity of the formulation suggested here was confirmed by comparing the calculated results of several examples with those of the theory and the finite difference method. The sensitivity analysis technique suggested here was also applied to determine optimum shapes of minimum weight under the buckling load constraints
一般社団法人日本機械学会の論文
1994-11-25