Closed-Form Equilibrium Analysis of a Planar Tensegrity Structure

Bayat, Jahan; Crane, Carl D.

doi:10.1007/978-1-4020-2249-4_34

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…Several approaches have been proposed, mostly of numerical nature [8,9,10,11]. However, for simpler architectures [12] or when symmetrical hypotheses are made [13], analytical solutions are possible. A review of form-finding methods for tensegrity systems is given by Tibert and Pellegrino [14].…”

Section: Introductionmentioning

confidence: 99%

Kinematic and static analysis of a 3-PUPS spatial tensegrity mechanism

Arsenault

Gosselin

2009

Mechanism and Machine Theory

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Section: Introductionmentioning

confidence: 99%

Kinematic and static analysis of a 3-PUPS spatial tensegrity mechanism

Arsenault

Gosselin

2009

Mechanism and Machine Theory

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“…Other works related to structural design of tensegrities include the computation of tensegrity equilibria (Williamson et al, 2003;Bayat and Crane III, 2004), the stability of tensegrity structures (Connelly and Back, 1998), and the influence and optimization of pre-stress (Hanaor, 1988;Pellegrino, 1990). For optimization of structures, besides the method discussed in this paper, the free material design method in Bendsøe (1989Bendsøe ( , 1995 can be mentioned because this is useful for topology optimization.…”

Section: Introductionmentioning

confidence: 99%

Stiffness of planar tensegrity truss topologies

Jager

Skelton

2006

International Journal of Solids and Structures

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This paper proposes and demonstrates a symbolic procedure to compute the stiffness of truss structures built up from simple basic units. Geometrical design parameters enter in this computation. A set of equations linear in the degrees-of-freedom, but nonlinear in the design parameters, is solved symbolically in its entirety. The resulting expressions reveal the values of the design parameters which yield desirable properties for the stiffness or stiffness-to-mass ratio. By enumerating a set of topologies, including the number of basic units, and a set of material distribution models, stiffness properties are optimized over these sets. This procedure is applied to a planar tensegrity truss. The results make it possible to optimize the structure with respect to stiffness properties, not only by appropriately selecting (continuous) design parameters like geometric dimensions, but also by selecting an appropriate topology for the structure, e.g., the number of basic units, and a material distribution model, all of which are discrete design decisions.

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Kinematic, static and dynamic analysis of a planar 2-DOF tensegrity mechanism

Arsenault

Gosselin

2006

Mechanism and Machine Theory

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Closed-Form Equilibrium Analysis of a Planar Tensegrity Structure

Cited by 3 publications

References 2 publications

Kinematic and static analysis of a 3-PUPS spatial tensegrity mechanism

Kinematic and static analysis of a 3-PUPS spatial tensegrity mechanism

Stiffness of planar tensegrity truss topologies

Kinematic, static and dynamic analysis of a planar 2-DOF tensegrity mechanism

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