2018
DOI: 10.3389/fmats.2018.00005
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Numerical and Analytical Approaches to the Self-Equilibrium Problem of Class θ = 1 Tensegrity Metamaterials

Abstract: This study formulates numerical and analytical approaches to the self-equilibrium problem of novel units of tensegrity metamaterials composed of class θ = 1 tensegrity prisms. The freestanding configurations of the examined structures are determined for varying geometries, and it is shown that such configurations exhibit a large number of infinitesimal mechanisms. The latter can be effectively stabilized by applying self-equilibrated systems of internal forces induced by cable prestretching. The equilibrium eq… Show more

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Cited by 24 publications
(29 citation statements)
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“…An approach to the form-finding of the illustrated tensegrity structures is to look for the zero this approach we refer to [16].…”
Section: Form-finding Of Class Theta Tensegrity Prismsmentioning
confidence: 99%
See 3 more Smart Citations
“…An approach to the form-finding of the illustrated tensegrity structures is to look for the zero this approach we refer to [16].…”
Section: Form-finding Of Class Theta Tensegrity Prismsmentioning
confidence: 99%
“…1. The freestanding configuration of the examined structure shows = 120 , = 125 and = 55 [16]. The compressive members are made of grade 8.8, M4 threaded steel bars plated with white zinc, while the strings consist of Spectra ®cables with 0.76 mm diameter [23].…”
Section: Prestress Stability and Superstabilitymentioning
confidence: 99%
See 2 more Smart Citations
“…So far, physical models of these exciting materials have been fabricated through additive manufacturing (AM) technologies in polymeric materials and have been described through Cosserat elasticity, [3]. The numerical model presented in this work allows for simulating the response of ductile versions of such metamaterials, assuming radial loading and holonomic plasticity, [16,17,18], which are, e.g., fabricated via AM techniques manual assembling methods employing metallic materials, [19,20,21].…”
Section: Introductionmentioning
confidence: 99%