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j.ijsolstr.2018.11.017.pdf | 1.95 MB | Adobe PDF | 見る/開く |
タイトル: | Self-equilibrium and super-stability of truncated regular hexahedral and octahedral tensegrity structures |
著者: | Zhang, J.Y. Ohsaki, M. Tsuura, F. |
著者名の別形: | 大﨑, 純 |
キーワード: | Tensegrity Hexahedral symmetry Octahedral symmetry Self-equilibrium Super-stability Group representation theory Block-diagonalization |
発行日: | Apr-2019 |
出版者: | Elsevier BV |
誌名: | International Journal of Solids and Structures |
巻: | 161 |
開始ページ: | 182 |
終了ページ: | 192 |
抄録: | This paper presents conditions for self-equilibrium as well as super-stability of the truncated regular hexahedral and octahedral tensegrity structures. Their symmetry can be described by octahedral group in group representation theory, and furthermore, their force density matrix is analytically rewritten in the symmetry-adapted form. The condition for self-equilibrium, in terms of force densities, is found by satisfying the non-degeneracy condition for a tensegrity structure. The condition for super-stability, also in terms of force densities, is further presented by guaranteeing positive semi-definiteness of the force density matrix. |
著作権等: | © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ The full-text file will be made open to the public on 1 April 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/242937 |
DOI(出版社版): | 10.1016/j.ijsolstr.2018.11.017 |
出現コレクション: | 学術雑誌掲載論文等 |
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