二段階緩和法に基づく鋼構造骨組の最適離散断面選択法

概要

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A method is proposed for selecting optimum discrete sections of steel frames using a two-step relaxation method. At the first step, the discrete optimization problem is approximately solved by using a continuous optimization problem wherein approximate expressions are applied to the standard sections. At the second step, the near optimal set of discrete sections is selected using the solution of the relaxation problem whose design space is limited to the neighborhood of the optimal solution obtained in the first step. Through the numerical example of a 6-story 5-bay plane frame under elastic constraints, it is demonstrated that a discrete solution can be obtained whose rate of increase in total steel volume from the continuous optimum design is only 1.8%. This approach is general enoueh to be applied to the problems under elastic-plastic constraints and those with any type of standard section lists.
社団法人日本建築学会の論文
2004-12-30