The Octahedron family as a source of tensegrity families: The X-Octahedron family

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 th...

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Bibliographic Details
Published in:International journal of solids and structures 2021-01, Vol.208-209, p.1-12
Main Authors: Fernández-Ruiz, Manuel Alejandro, Hernández-Montes, Enrique, Gil-Martín, Luisa María
Format: Article
Language:English
Subjects:
Analytical form-finding
Force density method
Octahedron family
Stability analysis
Tensegrity
Tensegrity structures
X-Octahedron family
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Summary: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.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2020.10.019