Self-equilibrium and super-stability of truncated regular hexahedral and octahedral tensegrity structures. (April 2019)

• Record Type: Journal Article
• Authors: Zhang, J.Y.; Ohsaki, M.; Tsuura, F.
• Is Part Of: International journal of solids and structures. Volume 161(2019)
• Page Start: 182
• Page End: 192
• Publication Date: 2019-04
• Subjects: Tensegrity -- Hexahedral symmetry -- Octahedral symmetry -- Self-equilibrium -- Super-stability -- Group representation theory -- Block-diagonalization; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2018.11.017
• Languages: English
• ISSNs: 0020-7683

Abstract

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.