Topology optimization of acoustic metasurfaces by using a two-scale homogenization method

by   Yuki Noguchi, et al.

In this paper, we propose a level set-based topology optimization method for the unit-cell design of acoustic metasurfaces by using a two-scale homogenization method. Based on previous works, we first propose a homogenization method for acoustic metasurfaces that can be combined with topology optimization. In this method, a nonlocal transmission condition depending on the unit cell of the metasurface appears in a macroscale problem. Next, we formulate an optimization problem within the framework of a level set-based topology optimization method, wherein an objective functional is expressed as the macroscopic responses obtained through the homogenization, and material distributions in the unit cell are set as design variables. A sensitivity analysis is conducted based on the concept of the topological derivative. To confirm the validity of the proposed method, two-dimensional numerical examples are provided. First, we numerically demonstrate the validity of the homogenization method, and then perform optimization calculations based on the waveguide settings of the acoustic metasurfaces. In addition, we discuss the mechanism of the obtained optimized structures.


page 26

page 28

page 29

page 31


Level set-based shape optimization of deformable structures for manipulating sound propagation

In this paper, we propose a level set-based shape optimization method fo...

A topology optimization of open acoustic waveguides based on a scattering matrix method

This study presents a topology optimization scheme for realizing a bound...

A topology optimisation of acoustic devices based on the frequency response estimation with the Padé approximation

We propose a topology optimisation of acoustic devices that work in a ce...

Topology Optimization of Graded Truss Lattices Based on On-the-Fly Homogenization

We introduce a computational framework for the topology optimization of ...

Gyroid-like metamaterials: Topology optimization and Deep Learning

Triply periodic minimal surface (TPMS) metamaterials characterized by ma...

Level set topology optimization of metamaterial-based heat manipulators using isogeometric analysis

We exploit level set topology optimization to find the optimal material ...

Please sign up or login with your details

Forgot password? Click here to reset