RT Journal Article T1 Influence of the level of connectivity on the members of the Octahedron and X-Octahedron families of tensegrities A1 Hernández, Luisa A1 Fernández Ruiz, Manuel Alejandro A1 Gil-Martín, Luisa María K1 Estructuras (Construcción) -- Cálculo K1 Ingeniería de estructuras K1 Estructuras (Construcción) -- Dinámica K1 Análisis estructural (Ingeniería) AB Tensegrity structures based on topological patterns have been developed greatly in recent years. Tensegrities obtained from the same pattern are said to belong to a family. Two examples of tensegrity families are the Octahedron and the X-Octahedron, whose members are composed of rhombic and X-rhombic cells, respectively, which are collected in three groups. The general connectivity pattern of both families consists of three levels of connectivity. This work analyzes the influence of the reduction of the level of connectivity on the members of both families. The connection graphs corresponding to different levels of connectivity are defined based on the new concept of “twin tensegrities”. Analytical computations have been performed to determine the force:length ratios that satisfy equilibrium, stability, and super-stability conditions. In addition, the mathematical sequence that follows the ratio between the force:length ratio of struts and cables of the X-Octahedron family that leads to a super-stable equilibrium configuration is presented. The new tensegrities obtained in this work also belong to the Octahedron and X-Octahedron families and could have promising engineering applications such as modular constructions. PB Elsevier YR 2023 FD 2023-09-27 LK https://hdl.handle.net/10630/27868 UL https://hdl.handle.net/10630/27868 LA eng NO Luisa Hernández, Manuel Alejandro Fernández-Ruiz, Luisa María Gil-Martín, Influence of the level of connectivity on the members of the Octahedron and X-Octahedron families of tensegrities, Engineering Structures, Volume 296, 2023, 116927, ISSN 0141-0296, https://doi.org/10.1016/j.engstruct.2023.116927 NO Funding for open access charge: Universidad de Málaga / CBUA DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026