解の多様性を考慮した遺伝的アルゴリズムによる構造形態の創生

概要

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In this paper, a procedure enabling various solution searches on the genetic algorithms is proposed for the structural morphogenesis. The proposed procedure is able to obtain a solution set including global optimal solution and local optimal solution with high estimation in feasible region. This procedure is applicable to both of the single-objective optimization problem (SOP) and the multi-objective optimization problem (MOP). First of all, our procedure is explained compared with main schemes of past researches. Next, the procedure is applied to maximization problem of bivariate functions corresponding to SOP and a problem of two bivariate functions corresponding to MOP. The effectiveness of the procedure and the fundamental characteristic of the solution are shown from numerical results by their bivariate functions. Finally, this procedure is used for the optimization problem of 2D truss structure and 2D frame structure. A solution set (structural forms) with high estimation and diversity is presented from numerical results in their structural problems. Especially, in the MOP of the frame structure, multiple structural forms with a clear transmission path of loads are able to be obtained.
社団法人日本建築学会の論文
2007-04-30