407 構造体の断面形状最適化のための一解法

概要

論文の詳細を見る
In this paper, we present a numerical method to optimize a cross section shape of a solid structure, which is often demanded at the early stage in structural designs. The cross section area is minimized subject to the constraints of sectional properties including the torsional constant, the moments of inertia of area, the center of gravity and the boundary length. The problem is formulated as a distributed shape optimization problem. The shape gradient function is derived using the Lagrange multipliers and the material derivative method. The Robin-type traction method, or a gradient method in a Hilbert space, is applied to determine the smooth optimal shape. The validity of this method is verified through design examples for obtaining the optimal shape of the cross section under the constraints of sectional properties.
一般社団法人日本機械学会の論文
2009-08-03