3703 予備設計段階における中実構造体の断面形状の最適化(G12 最適・協調設計とシステム,G12 設計工学・システム)

概要

論文の詳細を見る
In this paper, we present a numerical method to optimize the cross section shape of solid structures, which is often needed at the preliminary stage in the structural designs of automotives and airplanes and so on. The cross section area is minimized subject to the moments of inertia of area about x and y axis through the center of gravity. The problem is formulated as a distributed optimization problem, or a non-parametric optimization problem. The shape gradient function is derived using the Lagrange multipliers and the material derivative method. The traction method, or a gradient method in Hilbert space is employed to determine the smooth optimal shape using the derived shape gradient function. The validity of this method is verified to obtain the optimal shape of cross section under the constraints of the moment of inertia of area through an example.
社団法人日本機械学会の論文
2005-09-18