A computational framework for the form-finding and design of tensegrity structures

Koohestani, K.

doi:10.1016/j.mechrescom.2013.09.010

Cited by 32 publications

(13 citation statements)

References 30 publications

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“…The Nelder-Mead algorithm was originally published in [12]. Since then it has been widely used in a myriad of applications involving local and global minimization [13][14][15]. It has remained popular due to the fact that computation of derivatives is not required and it is an unconstrained minimization algorithm.…”

Section: Nelder-mead Simplex Algorithmmentioning

confidence: 99%

Efficient incremental construction of RBF networks using quasi-gradient method

Reiner

Wilamowski

2015

Neurocomputing

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Section: Nelder-mead Simplex Algorithmmentioning

confidence: 99%

Efficient incremental construction of RBF networks using quasi-gradient method

Reiner

Wilamowski

2015

Neurocomputing

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“…Currently, the process has been progressively adopted for structuralengineering applications, such as buildings and bridges (Allahdadian and Boroomand 2010;Huang and Xie 2008;Neves et al 1995;Stromberg et al 2010;Zordan et al 2010;Briseghella et al 2010Briseghella et al , 2013aZordan et al 2014), and it is widely applied in the architectural design of structures that transfer their loads almost purely using their shapes, or vice versa (Adriaenssens et al 2014;Basso and Del Grosso 2011;Fenu et al 2015;Briseghella et al 2016). Such structures mainly include unstrained grid-shells (components in compression), cable nets or membranes (components in tension) and tensegrity structures (components both in compression and tension) (Barnes 1977;Topping and Ivanyi 2007;Tran and Lee 2010;Koohestani 2013). Those structures are considered to be designed not only in a highly efficient manner from the structural point of view but also in an aesthetically pleasing manner (Lucerga and Armisén 2012).…”

Section: Introductionmentioning

confidence: 99%

Adaptive form-finding method for form-fixed spatial network structures

Cheng¹,

Xue

et al. 2018

Int J Adv Struct Eng

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An effective form-finding method for form-fixed spatial network structures is presented in this paper. The adaptive formfinding method is introduced along with the example of designing an ellipsoidal network dome with bar length variations being as small as possible. A typical spherical geodesic network is selected as an initial state, having bar lengths in a limit group number. Next, this network is transformed into the ellipsoidal shape as desired by applying compressions on bars according to the bar length variations caused by transformation. Afterwards, the dynamic relaxation method is employed to explicitly integrate the node positions by applying residual forces. During the form-finding process, the boundary condition of constraining nodes on the ellipsoid surface is innovatively considered as reactions on the normal direction of the surface at node positions, which are balanced with the components of the nodal forces in a reverse direction induced by compressions on bars. The node positions are also corrected according to the fixed-form condition in each explicit iteration step. In the serial results of time history, the optimal solution is found from a time history of states by properly choosing convergence criteria, and the presented form-finding procedure is proved to be applicable for form-fixed problems.

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“…Subsequently, Sultan (2013) presented the necessary and sufficient conditions for the exponential stability of prestressable pin-jointed structures, and discussed the advantages of the formulation of the tangent stiffness matrix in analytical manipulations and computations. Meanwhile, some studies have evaluated the geometric stability of a pin-jointed structure by heuristic optimization methods such as genetic algorithms and the ant colony algorithms (El-Lishani et al, 2005;Chen et al, 2012a,b;Koohestani, 2013). Nevertheless, the above methods usually concern the mobility and geometric stability of a structure with a specific and fixed geometry and connectivity.…”

Section: Introductionmentioning

confidence: 99%

Effective insights into the geometric stability of symmetric skeletal structures under symmetric variations

Chen

Sareh

Feng

2015

International Journal of Solids and Structures

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a b s t r a c tGeometric stability is a necessary criterion to guarantee stable equilibrium in engineering structures. However, we generally encounter enormous calculations to examine the geometric stability when we make variations on the geometry or the connectivity of a given kinematically and statically indeterminate structure. This study describes how symmetry is utilized to enhance the mobility and geometric stability analysis of symmetric skeletal structures. Symmetry-extended mobility distinguishes representations of the internal mechanisms and self-stress states from relative mobility based on their inherent symmetries using group-theoretic method. Thus, it acts as an efficient tool to evaluate the order of internal mechanisms that may be indistinguishable by traditional structural approaches. Further, it is used to gain effective insights into the mobility and geometric stability of a symmetric skeletal structure with symmetrically perturbed connectivity or geometry. The first-order changes of symmetry-extended mobility are deduced to describe the changes induced by the variations of nodal coordinates, members, and kinematic constraints, respectively. Examples are given to verify the correctness and effectiveness of the proposed method. We show that the geometry or connectivity of kinematically indeterminate symmetric skeletal structures can be altered while at the same time retaining geometric stability and some or all of the original symmetry. The results have potential application in the design of novel deployable structures.

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A computational framework for the form-finding and design of tensegrity structures

Cited by 32 publications

References 30 publications

Efficient incremental construction of RBF networks using quasi-gradient method

Efficient incremental construction of RBF networks using quasi-gradient method

Adaptive form-finding method for form-fixed spatial network structures

Effective insights into the geometric stability of symmetric skeletal structures under symmetric variations

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