粘性ダンパーを有する構造の広帯域振幅規定問題における形状最適設計

（鼓膜の再建に向けて）

抄録

It is efficient to use the modal method for shape design of structures considering vibrations in a wide frequency range. However, when there are viscous dampers in the structure, it is difficult to use the modal method because the equation of motion cannot be decoupled. In this paper, we propose an efficient shape optimization analysis method using the modal method for the displacement regulation problem in a wide frequency range with a viscous damper. The shape gradient function is derived analytically, and is given as a modal solution. In addition, the H1 gradient method was used for shape modification analysis. Using a simple numerical model, it was shown that this method can be applied not only to the shape-optimal design of structures, but also to the shape-optimal design of the materials for eardrum reconstruction.