低振動構造の基本設計を支援する形状と位相の最適化方法の研究

抄録

This paper proposes a method for designing light and rigid structures that maximizes the natural frequency of the structure for a designated mode. A design variable `density' is introduced into the finite element method and is related to the material properties of a 3-dimensional solid element. Thus a structure is expressed as a density distribution inside its occupiable domain, and the optimal structure is obtained searching for the most suitable density distribution. The proposed method makes it possible to find the optimal shape and topology simultaneously. The dynamic characteristics of the structure are improved by repeatedly modifying its density distribution.