形状導関数とトポロジー導関数を同時に用いた構造最適化手法の開発

抄録

A new structural optimisation method using shape and topological derivatives simultaneously is proposed. Configuration of the design object is expressed through the level set method in which structural boundary is expressed as a zero-value isosurface of a level set function. With the help of the level set method, configuration change of the design object including creation of new holes is associated with the perturbation of the level set function. By using such an association, shape and topological derivatives can be naturally combined. Through a numerical example of minimum compliance problem, the effectiveness of the method is confirmed.