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首页> 外文期刊>Finite elements in analysis & design >Level set-based topology optimization for graded acoustic metasurfaces using two-scale homogenization
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Level set-based topology optimization for graded acoustic metasurfaces using two-scale homogenization

机译：基于级别的基于集的拓扑优化，用于使用两尺度均匀化的分级声学元件

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摘要

This paper proposes a level set-based topology optimization method for acoustic metasurfaces consisting of multiple types of unit cells. As a type of acoustic metasurface, we focus on a two-layered metasurface, where each layer contains various types of unit cell designs. To handle this metasurface, we first propose a two-scale homogenization method based on previous studies targeting metasurfaces composed of a single type of unit cell structure. As a result of homogenization, each layer of the array of unit cells is replaced with an interface with a nonlocal transmission condition. Next, an optimization problem is formulated. We set an objective function to achieve negative refraction, and macroscopic responses obtained by the homogenization method are used to define the objective function. The material distributions in each unit cell of the metasurface are set as the design variables. Based on these settings, we perform a sensitivity analysis based on the concept of the topological derivative. A level set-based topology optimization method is introduced to solve the optimization problem, and two-dimensional numerical examples are provided to demonstrate the validity of the proposed method. An optimal design of a two-layered acoustic metasurface that induces negative refraction is proposed, and a discussion of its mechanism is provided.
机译：本文提出了一种基于水平的拓扑优化方法，用于由多种类型的单位单元组成的声学元件。作为一种声学元质面，我们专注于两层元质面，其中每层包含各种类型的单位单元设计。为了处理这种质量表面，我们首先提出了一种基于先前研究的两种均质化方法，该研究靶向由单一类型的单位单元结构组成的元件。作为均匀化的结果，用具有非识别传动条件的接口替换单元电池阵列的每层。接下来，制定优化问题。我们设定了实现负折射的目标函数，并且通过均质方法获得的宏观反应用于定义目标函数。 Metasurface的每个单元单元中的材料分布被设置为设计变量。基于这些设置，我们基于拓扑衍生物的概念进行敏感性分析。引入了基于级别的基于拓扑优化方法来解决优化问题，提供二维数值示例以证明所提出的方法的有效性。提出了一种诱导负折射的双层声元表面的最佳设计，并提供了对其机制的讨论。

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