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  1. B200 工学部/工学研究科
  2. B200a 雑誌掲載論文
  3. 学術雑誌

A Shape Optimisation with the Isogeometric Boundary Element Method and Adjoint Variable Method for the Three-Dimensional Helmholtz Equation

http://hdl.handle.net/2237/0002002177
http://hdl.handle.net/2237/0002002177
f38d2888-5029-419a-bd51-62312cc33354
名前 / ファイル ライセンス アクション
2105_04456.pdf 2105_04456.pdf (5.2 MB)
 Download is available from 2023/12/31.
Item type itemtype_ver1(1)
公開日 2022-03-09
タイトル
タイトル A Shape Optimisation with the Isogeometric Boundary Element Method and Adjoint Variable Method for the Three-Dimensional Helmholtz Equation
言語 en
著者 Takahashi, Toru

× Takahashi, Toru

en Takahashi, Toru

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Sato, Daisuke

× Sato, Daisuke

en Sato, Daisuke

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Isakari, Hiroshi

× Isakari, Hiroshi

en Isakari, Hiroshi

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Matsumoto, Toshiro

× Matsumoto, Toshiro

en Matsumoto, Toshiro

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アクセス権
アクセス権 embargoed access
アクセス権URI http://purl.org/coar/access_right/c_f1cf
権利
言語 en
権利情報 © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
内容記述
内容記述 This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. The boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional BEM, which is based on piecewise polynomial shape and approximate (interpolation) functions, can require many design variables because they are usually chosen as a part of the nodes of the underlying boundary element mesh. In addition, it is not easy for the conventional method to compute the gradient of the sound pressure on the surface, which is necessary to compute the shape derivative of our interest, of a given object. To overcome these issues, we employ the isogeometric boundary element method (IGBEM), which was developed in our previous work. With using the IGBEM, we can design the shape of surfaces through control points of the NURBS surfaces of the target object. We integrate the IGBEM with the nonlinear programming software through the adjoint variable method (AVM), where the resulting adjoint boundary value problem can be also solved by the IGBEM with a slight modification. The numerical verification and demonstration validate our shape optimisation framework.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Elsevier
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
関連情報
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1016/j.cad.2021.103126
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 0010-4485
書誌情報 en : Computer-Aided Design

巻 142, p. 103126, 発行日 2022-01
ファイル公開日
日付 2024-01-01
日付タイプ Available
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