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Shape and topology optimization based on the phase feld method and sensitivity analysis
https://hiroshima.repo.nii.ac.jp/records/2007302
https://hiroshima.repo.nii.ac.jp/records/2007302c5a36160-8a7a-48f3-8dba-ad98bc38a419
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ_(フル)(1) | |||||||||||
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公開日 | 2023-03-18 | |||||||||||
タイトル | ||||||||||||
タイトル | Shape and topology optimization based on the phase feld method and sensitivity analysis | |||||||||||
言語 | en | |||||||||||
作成者 |
Takezawa, Akihiro
× Takezawa, Akihiro
× Nishiwaki, Shinji
× Kitamura, Mitsuru
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アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
権利情報 | ||||||||||||
権利情報 | Copyright (c) 2009 Elsevier Inc. | |||||||||||
主題 | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | shape optimization | |||||||||||
主題 | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | topology optimization | |||||||||||
主題 | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | phase field method | |||||||||||
主題 | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | sensitivity analysis | |||||||||||
主題 | ||||||||||||
主題Scheme | Other | |||||||||||
主題 | level set method | |||||||||||
内容記述 | ||||||||||||
内容記述 | This paper discusses a structural optimization method that optimizes shape and topology based on the phase field method. The proposed method has the same functional capabilities as a structural optimization method based on thelevel set method incorporating perimeter control functions. The advantage of the method is the simplicity of computation, since extra operations such as reinitialization of functions are not required. Structural shapes are represented by the phase field function defined in the design domain, and optimization of this function is performed by solving a time-dependent reaction diffusion equation. The artificial double-well potential function used in the equation is derived from sensitivity analysis. The proposed method is applied to twodimensional linear elastic and vibration optimization problems such as the minimum compliance problem, a compliant mechanism design problem and the eigenfrequency maximization problem. The numerical examples provided illustrate the convergence of the various objective functions and the effect that perimeter control has on the optimal configurations. | |||||||||||
言語 | en | |||||||||||
出版者 | ||||||||||||
出版者 | Elsevier Inc | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | journal article | |||||||||||
出版タイプ | ||||||||||||
出版タイプ | AO | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||||||
関連情報 | ||||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.jcp.2009.12.017 | |||||||||||
関連情報 | ||||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | http://dx.doi.org/10.1016/j.jcp.2009.12.017 | |||||||||||
収録物識別子 | ||||||||||||
収録物識別子タイプ | ISSN | |||||||||||
収録物識別子 | 0021-9991 | |||||||||||
収録物識別子 | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00696013 | |||||||||||
開始ページ | ||||||||||||
開始ページ | 2697 | |||||||||||
書誌情報 |
Journal of Computational Physics Journal of Computational Physics 巻 229, 号 7, p. 2697-2718, 発行日 2010-04 |
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旧ID | 28745 |