The Octahedron family as a source of tensegrity families: The X-Octahedron family. (January 2021)

• Record Type: Journal Article
• Authors: Fernández-Ruiz, Manuel Alejandro; Hernández-Montes, Enrique; Gil-Martín, Luisa María
• Is Part Of: International journal of solids and structures. Volume 208/209(2021)
• Page Start: 1
• Page End: 12
• Publication Date: 2021-01
• Subjects: Tensegrity -- Octahedron family -- X-Octahedron family -- Analytical form-finding -- Force density method; 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.2020.10.019
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: A tensegrity family is a group of tensegrity structures that share a common connectivity pattern. The three first members of the Octahedron family are the octahedron, the expanded octahedron and the double-expanded octahedron. In this work a new family is presented: the X-Octahedron family. If in the elementary rhombic cells of the Octahedron family a diagonal cable is introduced then X-rhombic cells are obtained, resulting in tensegrity forms that belongs to the new family. Three members of the family have been obtained: the X-octahedron, the X-expanded octahedron and the X-double-expanded octahedron. Several element groupings have been considered in order to find new equilibrium shapes of the members of the new family. The values of the force:length ratios which satisfy the super-stability conditions have been computed analytically.