ヒンジのある両端固定柱の最適形状とその固有モード

概要

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In this paper, the problem of finding the best possible distribution of the cross-sectional area of a clamped-clamped column with two inside hinges, which for a given volume would have the highest buckling load, is solved. The general formulae for clamped-clamped columns with two inside hinges are presented and verified with examples, with which optimization problems with respect to both global and local buckling modes are investigated. It is found that the column obtained by Olhoff and Rasmussen, whose shape is optimized with respect to the nonsymmetrical global buckling mode, has much lower buckling load than that optimized with respect to the nonsymmetrical one under rigid-body rotation buckling mode in which the buckling takes place only in the two end parts of the column. The true optimum solution is obtained by simultaneously considering the rigid body rotation buckling mode and a local buckling mode in which buckling occurs only the central part of the column.
一般社団法人日本機械学会の論文
1995-02-25