散逸エネルギー最大化を目的とした多孔質材吸音材微視構造のマルチスケールトポロジー最適化

抄録

A topology optimization method to design micro structures of sound-absorbing poroelastic media utilizing the homogenization method based on an asymptotic expantion is proposed in this study. Design sensitivities of homoginized propoerties with respect to design variables defined on nodes of a microscopic finite element model are derived by using the homoginization method and the adjoint variable method. Then, design sensitivities of macroscopic objective function, which is dissipated power in this study, with respect to design variables defined on nodes of a microscopic finite element model are derived by using the adjoint variable method. The design variables are updated by using Method of Moving Asymptotes (MMA). Here, the design sensitivities both in microscopic and macroscopic scales are verified by a numerical examples.