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oai:riuma.uma.es:10630/287012026-02-03T11:29:29Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Fernández Ruiz, Manuel Alejandro author Hernández-Montes, Enrique author Carbonell-Márquez, Juan Francisco author Gil-Martín, Luisa María author 2019-01-19 The octahedron family of tensegrity structures is presented in this research. The octahedron and the expanded octahedron (well-known tensegrities in the literature) are the first and second components of the family. A new tensegrity is presented: the double-expanded octahedron. This new tensegrity form was obtained following the connectivity pattern of the octahedron family presented in this work. The values of the force densities or force:length ratios that satisfy the minimum required rank deficiency of the force density matrix were computed analytically. Two types of solutions are obtained: full and folded forms. Results show that each lower member of the octahedron family is a folded form of a superior member of this family. Several examples are shown. Fernández-Ruiz, M. A., Hernández-Montes, E., Carbonell-Márquez, J. F., & Gil-Martín, L. M. (2019). Octahedron family: The double-expanded octahedron tensegrity. International Journal of Solids and Structures, 165, 1–13. https://hdl.handle.net/10630/28701 10.1016/j.ijsolstr.2019.01.017 Ingeniería de estructuras Octahedron family: The double-expanded octahedron tensegrity.