2017年9月
A level set-based topology optimization method for simultaneous design of elastic structure and coupled acoustic cavity using a two-phase material model
JOURNAL OF SOUND AND VIBRATION
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- 巻
- 404
- 号
- 開始ページ
- 15
- 終了ページ
- 30
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jsv.2017.05.040
- 出版者・発行元
- ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
This papers proposes a level set-based topology optimization method for the simultaneous design of acoustic and structural material distributions. In this study, we develop a two-phase material model that is a mixture of an elastic material and acoustic medium, to represent an elastic structure and an acoustic cavity by controlling a volume fraction parameter. In the proposed model, boundary conditions at the two-phase material boundaries are satisfied naturally, avoiding the need to express these boundaries explicitly. We formulate a topology optimization problem to minimize the sound pressure level using this two-phase material model and a level set-based method that obtains topologies free from grayscales. The topological derivative of the objective functional is approximately derived using a variational approach and the adjoint variable method and is utilized to update the level set function via a time evolutionary reaction-diffusion equation. Several numerical examples present optimal acoustic and structural topologies that minimize the sound pressure generated from a vibrating elastic structure. (C) 2017 Elsevier Ltd. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.jsv.2017.05.040
- ISSN : 0022-460X
- eISSN : 1095-8568
- Web of Science ID : WOS:000404307600002