遺伝的アルゴリズムによる連続体形状最適化法について

概要

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This paper presents a new scheme for the shape optimization of a continuum by using genetic algorithms (GAs) with boundary element methods (BEMs). The profile of the object is represented by the Free-Form Deformation (FFD) technique which is often employed in the field of computer graphic. The chromosome related to the profile is constructed by the position vectors of the FFD control points, which are modified by the genetic operations ; selection, crossover and mutation, in order to optimize the profile. The object function is estimated by the BEMs. When the object under consideration is governed by the linear and homogeneous differential equation, the BEM requires the boundary discretization alone and therefore, the distortion of the profile during successive shape modification is not so terrible that the computational accuracy becomes worse. A contilever beam under uniformly distributed load is considered as a numerical example in order to confirm the validity of the present scheme.
日本シミュレーション学会の論文
1996-06-15