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The Octahedron family as a source of tensegrity families: the X-Octahedron family
International Journal of Solids and Structures ( IF 3.4 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.ijsolstr.2020.10.019
Manuel Alejandro Fernández-Ruiz , Enrique Hernández-Montes , Luisa María Gil-Martín

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.

中文翻译:

八面体族作为张拉整体族的来源:X-八面体族

摘要 张拉整体族是一组具有共同连接模式的张拉整体结构。八面体家族的前三个成员是八面体、扩展八面体和双扩展八面体。在这项工作中,提出了一个新的家族:X 八面体家族。如果在八面体族的基本菱形单元中引入斜线,则获得 X 菱形单元,从而产生属于新族的张拉整体形式。已获得该家族的三个成员:X-八面体、X-展开八面体和X-双展开八面体。为了找到新族成员的新平衡形状,已经考虑了几种元素分组。满足超稳定条件的力:长度比值已被解析计算。
更新日期:2021-01-01
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