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Structural Optimization under Topological Constraint Represented by Homology Groups : Topological Constraint on One-Dimensional Complex by Use of Zero- and One-Dimensional Homology Groups
https://repo.lib.tut.ac.jp/records/1140
https://repo.lib.tut.ac.jp/records/1140ce51afb5-b50b-4f0d-8900-19c4c8ab195d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
j13447912-0040-219 (1.2 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2013-06-06 | |||||
| タイトル | ||||||
| タイトル | Structural Optimization under Topological Constraint Represented by Homology Groups : Topological Constraint on One-Dimensional Complex by Use of Zero- and One-Dimensional Homology Groups | |||||
| タイトル | ||||||
| タイトル | Structural Optimization under Topological Constraint Represented by Homology Groups : Topological Constraint on One-Dimensional Complex by Use of Zero- and One-Dimensional Homology Groups | |||||
| 言語 | en | |||||
| 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 | |||||
| 著者 |
Nakanishi, Yasuhiko
× Nakanishi, Yasuhiko× Nakagiri, Shigeru× NAKANISHI, Yasuhiko× NAKAGIRI, Shigeru |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Topology of any one-dimensional complex can be represented by zero- and one-dimensional homology groups, which are isomorphic to the direct sum of additive groups. In this paper, a method is proposed to impose constraint on the topology of a frame treated as a one-dimensional complex by use of homology groups in the field of structural optimization. As the numerical examples, the total strain energy of the frame is minimized under topological constraints and constant weight. Useless members are eliminated from a ground structure by use of genetic algorithm. Any number of additive groups can be freely set up as a topological constraint because of generalized inverse matrices, and a rule of coding in the genetic algorithm is prescribed so that all strings(corresponding to chromosomes in biological systems)generated in the optimization process could satisfy the topological constraints. As the result it is found that loops in the topology of the optimum structure adjoin each other. The proposed method is also applied to the topology optimization of a square, flat panel board fixed on a rigid wall and loaded vertically on points distant from the wall. | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | ・rights：日本機械学会 ・rights：本文データは学協会の許諾に基づきCiNiiから複製したものである ・relation：isVersionOf：http://ci.nii.ac.jp/naid/110002965228/ |
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| 書誌情報 |
JSME international journal. Series A, Solid mechanics and material engineering en : JSME international journal. Series A, Solid mechanics and material engineering 巻 40, 号 3, p. 219-227, 発行日 1997-07-15 |
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| 出版者 | ||||||
| 出版者 | 一般社団法人日本機械学会 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13447912 | |||||
| 関連サイト | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://ci.nii.ac.jp/naid/110002965228/ | |||||
| 関連名称 | CiNii | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Optimum_Design | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Computational_Mechanics | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Framed_Structure | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Homology_Group | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Group_of_Cycles | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Genetic_Algorithm | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Generalized_Inverse_Matrix | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Topology | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Optimum_Design | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Computational_Mechanics | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Framed_Structure | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Homology_Group | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Group_of_Cycles | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Genetic_Algorithm | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Generalized_Inverse_Matrix | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Topology | |||||
