両端固定柱の最適形状と固有モードの対称性についての再検討

概要

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We reinvestigate the optimization problem of a clamped-clamped column under buckling loads which was previously dealt with by Tadjbakhsh & Keller and Olhoff & Rasmussen. Both single and bimodal formulations are used in investigating the behavior of the optimum eigenvalues with respect to the minimum constraint of cross-sectional area. The optimum column under the single modal formulation is defined. The bimodal optimum column together with two mutually symmetrical eigenfunctions is obtained. Furthermore, on the basis of the obtained mutually symmetrical eigenfunctions, we deduce the 1st-and the 2nd-order optimum eigenfunctions which are orthogonal, having symmetrical and an antisymmetrical configuration, respectively. Finally, from Keller's solution, we derive analytical solutions of several critical eigenfunction for columns under the single modal formulation.
一般社団法人日本機械学会の論文
1993-04-25