論文

査読有り
2013年

Topology optimization for the design of acoustic metamaterials using level set-based boundary expressions

Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
  • Masaki Otomori
  • ,
  • Lirong Lu
  • ,
  • Takayuki Yamada
  • ,
  • Takashi Yamamoto
  • ,
  • Kazuhiro Izui
  • ,
  • Shinji Nishiwaki

79
802
開始ページ
2138
終了ページ
2151
記述言語
日本語
掲載種別
研究論文(学術雑誌)
DOI
10.1299/kikaic.79.2138

This paper discusses a level set-based topology optimization method for the design of negative bulk modulus acoustic metamaterials. Acoustic metamaterials are engineered materials that are designed to have extraordinary acoustic properties, such as a negative effective bulk modulus and effective density. Novel applications such as sound isolation devices, acoustic cloaking, acoustic superlenses, and others have been proposed using such acoustic metamaterials. Most metamaterials consist of periodic structures of unit cells that are adequately small compared to the wavelength of target frequency. The overall structure of such periodic structures can be considered as an effectively homogeneous acoustic structure, and behaves as a material having negative effective properties exhibited globally. The purpose of the optimization problem here is to find optimized configurations of acoustic metamaterials composed of rubber and epoxy that achieve a negative effective bulk modulus. In the design of acoustic metamaterials, the presence of grayscale areas in an optimal configuration significantly affects its performance, so we use a level set-based approach that inherently avoids the grayscale problem. The effective bulk modulus of the acoustic metamaterials is computed based on the reflection and transmission coefficients and the optimization problem is formulated to minimize the effective bulk modulus. Optimization algorithm uses the adjoint variable method (AVM) for sensitivity analysis and the finite element method (FEM) for solving the acoustic wave propagation problem, the adjoint problem, and the reaction diffusion equation to update the level set function. Finally, several numerical examples are provided to confirm the utility and validity of the proposed method. © 2013 The Japan Society of Mechanical Engineers.

リンク情報
DOI
https://doi.org/10.1299/kikaic.79.2138
ID情報
  • DOI : 10.1299/kikaic.79.2138
  • ISSN : 0387-5024
  • SCOPUS ID : 84879915341

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