Stiffness of planar tensegrity truss topologies

Jager, Bram de; Skelton, Robert E.

doi:10.1016/j.ijsolstr.2005.06.049

Cited by 20 publications

(9 citation statements)

References 40 publications

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“…1C) are 1:2:2. An additional member (number 9) is added to the modules located at the ends of the tensegrity model to maintain the entire structure in a state of prestress (De Jager, 2006). Cables are treated as viscoelastic Voight elements that support only tensile forces, whereas struts are modeled as linearly elastic elements under compression (see Supplementary Information for their constitutive characteristics).…”

Section: Methods and Modelmentioning

confidence: 99%

A multi-modular tensegrity model of an actin stress fiber

Luo¹,

Xu²,

Lele³

et al. 2008

Journal of Biomechanics

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Stress fibers are contractile bundles in the cytoskeleton that stabilize cell structure by exerting traction forces on extracellular matrix. Individual stress fibers are molecular bundles composed of parallel actin and myosin filaments linked by various actin-binding proteins, which are organized end-on-end in a sarcomere-like pattern within an elongated three-dimensional network. While measurements of single stress fibers in living cells show that they behave like tensed viscoelastic fibers, precisely how this mechanical behavior arises from this complex supramolecular arrangement of protein components remains unclear. Here we show that computationally modeling a stress fiber as a multi-modular tensegrity network can predict several key behaviors of stress fibers measured in living cells, including viscoelastic retraction, fiber splaying after severing, non-uniform contraction, and elliptical strain of a puncture wound within the fiber. The tensegrity model also can explain how they simultaneously experience passive tension and generate active contraction forces; in contrast, a tensed cable net model predicts some, but not all, of these properties. Thus, tensegrity models may provide a useful link between molecular and cellular scale mechanical behaviors, and represent a new handle on multi-scale modeling of living materials.

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Section: Methods and Modelmentioning

confidence: 99%

A multi-modular tensegrity model of an actin stress fiber

Luo¹,

Xu²,

Lele³

et al. 2008

Journal of Biomechanics

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“…Because of the absence of the mechanism, these trusses are only structures with tensegrity features. The term "tensegrity" used for the above examples in the references [6,8,12,[15][16][17][18]20,37,41,42,64,[67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86] is not sufficiently accurate.…”

Section: Resultsmentioning

confidence: 99%

Truth and Myths about 2D Tensegrity Trusses

2019

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The concept of tensegrity is understood in many ways. This term is often improperly used for structures that have some, but not necessarily the key, tensegrity properties. The concept of tensegrity systems is misused in reference to both mathematical models and completed engineering structures. The aim of the study is to indicate which of the plane (2D) trusses presented in the literature are erroneously classified as tensegrities. Singular value decomposition of the compatibility matrix and spectral analysis of the stiffness matrix with the effect of self-equilibrated forces is used for the analysis. A new precise definition of tensegrity trusses is proposed and implemented.

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“…Tensegrities are structures that form a stable volume in the space by combining a set of discontinuous compression components (struts) and continuous tensile components (cables) to define a stable volume in the space [23]. Such combination leads to the optimal strut-cable topology for minimal mass under tension, compression, and bending [48,49].…”

Section: Cabled-trussesmentioning

confidence: 99%

“…airbeams [24], tensegrity [23], tensairity [34], and waterbeams [42], to mention a few. Among tensile elements, cables are the most efficient ones.…”

Section: Introductionmentioning

confidence: 99%

Hybrid optimization of cabled-trusses: Benchmarks for mechanical engineering

Finotto

Silva

Valášek

et al. 2015

Journal of Intelligent &Amp; Fuzzy Systems

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This paper proposes cabled-trusses benchmarks for mechanical engineering applications and provides suitable tools for modeling and optimization of cabled-trusses. These structures correspond to a system of cables and triangular bar formations jointed at their ends by hinged connections to form a rigid framework. The optimized cabled-truss is determined through a discrete optimization procedure that uses nonlinear finite element analysis, genetic algorithm, and fuzzy logic. In this work, planar and spatial trusses and cabled-trusses are optimized to achieve minimum weight designs. Also, the structural performance of the optimized structures is compared. In summary, the results show that cabled-trusses feature improvements over trusses.

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Stiffness of planar tensegrity truss topologies

Cited by 20 publications

References 40 publications

A multi-modular tensegrity model of an actin stress fiber

A multi-modular tensegrity model of an actin stress fiber

Truth and Myths about 2D Tensegrity Trusses

Hybrid optimization of cabled-trusses: Benchmarks for mechanical engineering

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