Topological Derivatives and Level Set-based Topology Optimization for a Frequency Response Problem of an Elastic Body(Application,<Special Topics>Activity Group "Mathematical Design")
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- Yamada Takayuki
- Department of Mechanical Engineering and Science, Kyoto University
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- Isakari Hiroshi
- Department of Mechanical Science and Engineering, Nagoya University
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- Matsumoto Toshiro
- Department of Mechanical Science and Engineering, Nagoya University
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- Izui Kazuhiro
- Department of Mechanical Engineering and Science, Kyoto University
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- Nishiwaki Shinji
- Department of Mechanical Engineering and Science, Kyoto University
Bibliographic Information
- Other Title
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- 弾性体の周波数応答問題に対するトポロジー導関数とレベルセット法に基づくトポロジー最適化(応用,<特集>数理設計研究部会)
- 弾性体の周波数応答問題に対するトポロジー導関数とレベルセット法に基づくトポロジー最適化
- ダンセイタイ ノ シュウハスウ オウトウ モンダイ ニ タイスル トポロジードウカンスウ ト レベルセットホウ ニ モトズク トポロジー サイテキ カ
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Abstract
This paper derives topological derivative, which is a derivative with respect to creation of a new infinity small hole for steady elastrodynamic problem. Based on the topological derivative and a regularization method, level set-based topology optimization method is formulated. In addition, topology optimization algorithm is constructed using Finite Element Method. Finally, three-dimensional numerical examples are shown to confirm the validity and utility of the proposed topology optimization method.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 24 (2), 139-156, 2014
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680745305344
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- NII Article ID
- 110009829232
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 025624847
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed
