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Stability of vertical magnetic chains
https://oist.repo.nii.ac.jp/records/202
https://oist.repo.nii.ac.jp/records/2024e3bdb35-1b08-4c76-9682-a15ef0160f81
名前 / ファイル | ライセンス | アクション |
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20160703.full (1.5 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-12-28 | |||||
タイトル | ||||||
タイトル | Stability of vertical magnetic chains | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Stability of vertical magnetic chains | |||||
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(英) |
Schönke, Johannes
× Schönke, Johannes× Fried, Eliot |
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書誌情報 |
en : Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences 巻 473, 号 2198, p. 20160703, 発行日 2017-02-08 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | A linear stability analysis is performed for a pair of coaxial vertical chains made from permanently magnetized balls under the influence of gravity. While one chain rises from the ground, the other hangs from above, with the remaining ends separated by a gap of prescribed length. Various boundary conditions are considered, as are situations in which the magnetic dipole moments in the two chains are parallel or antiparallel. The case of a single chain attached to the ground is also discussed. The stability of the system is examined with respect to three quantities: the number of balls in each chain, the length of the gap between the chains, and a single dimensionless parameter which embodies the competition between magnetic and gravitational forces. Asymptotic scaling laws involving these parameters are provided. The Hessian matrix is computed in exact form, allowing the critical parameter values at which the system loses stability and the respective eigenmodes to be determined up to machine precision. A comparison with simple experiments for a single chain attached to the ground shows good agreement. | |||||
出版者 | ||||||
出版者 | The Royal Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1471-2946 | |||||
PubMed番号 | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | PMID | |||||
関連識別子 | info:pmid/28293135 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1098/rspa.2016.0703 | |||||
権利 | ||||||
権利情報 | © 2017 The Authors. | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://rspa.royalsocietypublishing.org/content/473/2198/20160703 | |||||
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 |