416 構想設計支援を目的とした離散構造要素に基づく最適設計法(GS-12 設計工学,研究発表講演)

Abstract

This paper presents the outcome of research concerning the development of a structural topology optimization methodology that can be used at the conceptual design phase of mechanical products. The objective function is formulated as the minimization of the mean compliance. The optimization method is constructed based on frame elements, which are a typical discrete structural element. For each frame element, an ellipsoidal cross-section is assumed as the simplest case. The normalized cross-sectional area, the rotational angle denoting the principal direction, and the ratio of the length of the major and minor axes, are considered as design variables. A method for obtaining the optimal angle is derived, based on the minimization of complementary energy. Finally, several numerical examples confirm the validity and utility of the proposed method, which should be useful for mechanical design engineers at the conceptual design phase.