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Title: Self-equilibrium and super-stability of truncated regular hexahedral and octahedral tensegrity structures
Authors: Zhang, J.Y.
Ohsaki, M.
Tsuura, F.
Author's alias: 大﨑, 純
Keywords: Tensegrity
Hexahedral symmetry
Octahedral symmetry
Self-equilibrium
Super-stability
Group representation theory
Block-diagonalization
Issue Date: Apr-2019
Publisher: Elsevier BV
Journal title: International Journal of Solids and Structures
Volume: 161
Start page: 182
End page: 192
Abstract: 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.
Rights: © 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(Published Version): 10.1016/j.ijsolstr.2018.11.017
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