境界要素法とSakurai-Sugiura法を用いた周期構造のトポロジー最適設計の高速化

抄録

In the last several decades, periodic structures such as photonic and phononic crystals have attracted much attention of researchers and engineers, because these materials have various special properties such as full bandgaps. The full bandgap is defined as a “frequency range in which waves cannot propagate in any direction”. It is expected that the distinguished property can realise advanced wave devices such as photonic crystal laser, cloaking etc. To design such sophisticated devices, it is required to establish a method for controling full bandgaps of periodic structures. We have already developed a stable algorithm of the topology optimisation for 2D square/hexagonal lattice structures. The main scope of this paper is to develop an algorithm which accelerates the topology optimisation for periodic structures.