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Analysis of multiple bifurcation behaviour for periodic structures
https://hiroshima.repo.nii.ac.jp/records/2006310
https://hiroshima.repo.nii.ac.jp/records/20063103a3fcae3-6adc-4102-91ff-2d6cf1bf7f79
| 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) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||
| タイトル | ||||||||||
| タイトル | Analysis of multiple bifurcation behaviour for periodic structures | |||||||||
| 言語 | en | |||||||||
| 作成者 |
ARIO, I.
× ARIO, I.
× NAKAZAWA, M.
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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 © 2020 by IPPT PAN, Warszawa | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | periodic symmetry | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | post-buckling analysis | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | multiple bifurcation | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | hill-top bifurcation | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | multi-folding microstructure | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | The classification of simple singularities in the post-buckling analysis of truss structures is well-known for elastic stability. To focus on multiple singularities including a hilltop bifurcation point (h-BP) and its bifurcation paths, we reviewed the multiple bifurcation analysis of multi-folding microstructure (MFM) models with periodic symmetry. Because the Jacobian at the h-BP of the MFM involves multiple 0-eigenvalues, it is challenging to analyse the bifurcation paths from the h-BP accurately. In this study, we investigated the multiple folding mechanism by analysing the neighbourhood of the h-BP and the symmetric subgroups of the geometric system in the two-dimensional plane and three-dimensional core of the MFM. We demonstrated that through the classification of multiple h-BP and bifurcation paths, it is possible to determine the unknown bifurcation equilibrium paths following h-BP, based on the Jacobian stability and the mechanism of symmetric subgroups in group theory containing the relationships between the primary path and the known bifurcation path(s) in the MFM system with periodic symmetry. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | This research is indirectly supported by the Grant-in-Aid for Challenging Exploratory Research of the Japan Society for the Promotion of Science; KAKENHI Grant Number JP18K18888. A part of this manuscript was presented at the conference of CMM 2019. | |||||||||
| 出版者 | ||||||||||
| 出版者 | Institute of Fundamental Technological Research | |||||||||
| 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 | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.24423/aom.3433 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | https://doi.org/10.24423/aom.3433 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | URI | |||||||||
| 関連識別子 | https://am.ippt.pan.pl/am/index | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0373-2029 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 283 | |||||||||
| 書誌情報 |
Archives of Mechanics Archives of Mechanics 巻 72, 号 4, p. 283-306, 発行日 2020-08-10 |
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| 旧ID | 51545 | |||||||||