Stiffness matrix based form-finding method of tensegrity structures

Cellular morphogenesis of three-dimensional tensegrity structures

“…The idea of mimicking cellular mechanisms for the analysis and design of structures echoes back to the work of Motro [1] who referred to composing modules of complex tensegrity structures as cells, and the work of Canyurt and Hejela [42] who proposed a cellular framework for structural analysis and optimization. Zhang et al [43] employed a stiffness-matrix-based form-finding method to rapidly find complex tensegrity structures constructed using repetition of the same module. However, in this paper the cell idea is perceived differently with cells being predefined topological entities that compose complex tensegrity structures with the nature of their composition defining the self-equilibrium in the resulting system.…”

Mechanical metamaterials with 3D compliant porous structures

“…The unconventional properties include negative Poisson's ratios [1,2], negative thermal expansion [3], etc. The unconventional properties have been explored with granular [4] and tensegrity periodic lattices [5][6][7], and polyhedral cellular structures [8][9][10].…”

Distributed indeterminacy evaluation of cable-strut structures: formulations and applications

“…Matrix K s is the tangent stiffness matrix that consists of the stress matrix (or geometric stiffness matrix) Z and the material stiffness matrix AĜA T with Ĝ=diag(g 1 , g 2 , …, g i , …, g b ), where g i is the modified axial stiffness of element i (Guest, 2006;Sultan, 2013;Zhang et al, 2014). As cable slacking is beyond the scope of this study, matrix Z is presumed to be invertible for simplicity.…”