Network and vector forms of tensegrity system dynamics

Nagase, Kenji; Skelton, Robert E.

doi:10.1016/j.mechrescom.2014.03.007

Cited by 36 publications

(22 citation statements)

References 13 publications

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“…By collecting all the bk, sk, rk vectors, we get the following bars matrices B, strings matrices S and center of mass matrix R necessary to define the position of the structural elements: The general element C Bij (or C Sij ) is equal to: -1 if vector bi (or si) is directed away from node j th ; 1 if vector bi (or si) is directed toward node j th , and 0 if vector bi (or si) does not touch node j. In this way we can describe the class number of a tensegrity network and say that a tensegrity system is of class m, if the maximum number of bars concurring in each node is equal to m [6], [12]- [13]. We remember that the system we are considering is a tensegrity of class 6.…”

Section: Dynamics Of a Tensegrity Sunscreen Modulementioning

confidence: 99%

Computational Modeling of the Dynamics of Active Sunscreens With Tensegrity Architecture

Babilio¹,

Miranda²,

Carpentieri³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Recent studies have investigated the use of tensegrity structures for the construction of active solar façades of Energy Efficient Buildings. In this paper we simulate the dynamics of shading screens with tensegrity architecture through an in-house developed code that handles rigidity constraints on the deformation of the bars. We present numerical results illustrating the dynamic response of a tensegrity solar façade and its morphing capabilities, which require minimal storage of internal energy.

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Section: Dynamics Of a Tensegrity Sunscreen Modulementioning

confidence: 99%

Computational Modeling of the Dynamics of Active Sunscreens With Tensegrity Architecture

Babilio¹,

Miranda²,

Carpentieri³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…We employ the Runge-Kutta integration algorithm described in Ref. [21] to perform the time-integration of Eqn. (17).…”

Section: Vector Form Of the Dynamics Of Tensegrity Networkmentioning

confidence: 99%

“…Sucha formulation proves to be useful in order to coupling the proposed model with standard FE models that may interact with tensegrity networks. The time-integration of the equations of motion is conducted through a Runge-Kutta algorithm that accounts for a rigidity constraint of the bars [21].…”

Section: Introductionmentioning

confidence: 99%

Accurate Numerical Methods for Studying the Nonlinear Wave-Dynamics of Tensegrity Metamaterials

Fabbrocino¹,

Carpentieri²,

Amendola³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. This paper presents presents an effective numerical approach to the nonlinear dynamics of columns of tensegrity prisms subject to impulsive compressive loading. The equations of motions of the analyzed structures are formulated in vector form, by modeling the cables as deformable members and the bars as rigid bodies. The given numerical results investigate the wave dynamics of tensegrity columns, with focus on the propagation of compression solitary waves with variable size and amplitude throughout the system, as a function of the applied impact velocity and the state of prestress of the structure. The engineering potential of the examined structures as tunable acoustic actuators is discussed.

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“…Tensegrity structures are self-equilibrated frameworks composed of bars in compression and strings in tension [1][2][3]. Because of their lightweight, shape control and tunable stiffness properties, they have received interests in many fields including architecture, civil engineering, aerospace, robotics, sculpture and biology [4][5][6][7][8]. Some novel tensegrity structures have been developed to further broaden their applications.…”

Section: Introductionmentioning

confidence: 99%

3-bar tensegrity units with non-equilateral triangle on an end plane

Liu

Zhang

Ohsaki

2018

Mechanics Research Communications

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The well-known 3-bar prismatic tensegrity unit has equilateral triangles on the two end planes. In this paper, properties of the 3-bar tensegrity unit with non-equilateral triangle on one end plane are investigated. The unit is generated by transforming the equilateral triangle of the tensegrity prism to a triangle with irregular shape. The selfequilibrium equations of the 3-bar tensegrity unit are analytically solved for geometrical parameters and force densities of the members. The analytical solutions are utilized to investigate detailed characteristics of the 3-bar tensegrity units with non-equilateral triangle on an end plane.

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Network and vector forms of tensegrity system dynamics

Cited by 36 publications

References 13 publications

Computational Modeling of the Dynamics of Active Sunscreens With Tensegrity Architecture

Computational Modeling of the Dynamics of Active Sunscreens With Tensegrity Architecture

Accurate Numerical Methods for Studying the Nonlinear Wave-Dynamics of Tensegrity Metamaterials

3-bar tensegrity units with non-equilateral triangle on an end plane

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