多目的トポロジー最適化における目標設定法に関する研究(J18-1 解析・設計の高度化・最適化(1),J18 解析・設計の高度化・最適化)

概要

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In multi-objective optimization problems, weighting methods are generally used. However, it is difficult to determine weighting values in advance so that the objective functions converge to a desired solution. In this paper, we construct two new formulating methods, incorporating objective functions that converge equally by automatically and appropriately changing weighting values during the optimization process. The first method analytically evaluates the interrelationships between the objective functions, which the second method is based on the geometrical approach and clarifies the relationships by means of graphical output. The proposed optimization formulation is applied to a multi-objective problem in topology optimization, namely a multiple-eigen-valueproblem. Finally, several examples are provided in order to confirm the validity of the methods proposed here.
一般社団法人日本機械学会の論文
2004-09-04