座屈荷重を目的関数とする空間構造の形状最適化に関する研究

概要

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This paper addresses the shape optimization problem of the maximization of critical load of space structures with given volume. The problem is dealt with as the nonlinear programming problem. It is difficult to directly maximize the non-linear buckling load factor as the objective function because of the large calculated amount and the possible coincidence of several critical points on optimal solution. On the other hand, evaluated as linear eigenvalue problem, the buckling load may not be appropriate since the prebuckling deformation is disregarded. In this paper, to take account of the effect of prebuckling deformation, the buckling load is estimated by performing linear eigenvalue analysis on an equilibrium point with specified deformation. The proposed scheme and its sensitivity analysis method are described. An arch and a two-way grid shell are shown as numerical examples, the effectivity of the present method is confirmed through these examples, and the structural characteristics of the result are also discussed.
社団法人日本建築学会の論文
2003-02-28