This paper presents a novel method for topology optimization of vibrating structures interacted with acoustic wave for the purpose of minimizing radiated sound power level. We consider exterior acoustic fields and bi-material shell models without damping in this work. Within the isogeometric analysis framework, we employ Catmull–Clark subdivision surfaces to construct geometries and discretize physical fields. The isogeometric finite element method with Kirchhoff–Love shell elements is coupled with the isogeometric boundary element method in acoustics. The topology optimization is performed through density-based approaches, in which the sensitivities are evaluated with adjoint variable methods. Numerical experiments demonstrate the validity and effectiveness of the algorithm for topology optimization of structural-acoustic interaction systems.

本文提出了一种对与声波相互作用的振动结构进行拓扑优化的新方法，以最小化辐射声功率级。我们在这项工作中考虑了没有阻尼的外部声场和双材料壳模型。在等几何分析框架内，我们使用 Catmull-Clark 细分曲面来构建几何图形并离散物理场。使用 Kirchhoff-Love 壳单元的等几何有限元方法与声学中的等几何边界元方法相结合。拓扑优化通过基于密度的方法执行，其中使用伴随变量方法评估灵敏度。数值实验证明了该算法在结构-声相互作用系统拓扑优化中的有效性和有效性。