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Engineering with Computers
Erschienen in: Engineering with Computers 1/2013

01.01.2013 | Original Article

Form-finding of tensegrity structures using double singular value decomposition

verfasst von: Hoang Chi Tran, Jaehong Lee

Erschienen in: Engineering with Computers | Ausgabe 1/2013

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Abstract

A numerical form-finding procedure of tensegrity structures is developed. The only required information is the topology and the types of members. The singular value decompositions of the force density and equilibrium matrices are performed iteratively to find the feasible sets of nodal coordinates and force densities which satisfy the minimum required deficiencies of these two matrices, respectively. An approach of defining a unique configuration of tensegrity structure by specifying an independent set of nodal coordinates is provided. An explanation is given for the preservation in self-equilibrium status of the tensegrity structures under affine transformation. Two- and three-dimensional examples are illustrated to demonstrate the efficiency and robustness of the proposed method in searching stable self-equilibrium configurations of tensegrity structures.
Vorheriger Artikel NICE h : a higher-order explicit numerical scheme for integration of constitutive models in plasticity
Nächster Artikel SnAM: a simulation software on serial manipulators

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Metadaten
Titel
Form-finding of tensegrity structures using double singular value decomposition
verfasst von
Hoang Chi Tran
Jaehong Lee
Publikationsdatum
01.01.2013
Verlag
Springer-Verlag
Erschienen in
Engineering with Computers / Ausgabe 1/2013
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-011-0245-7

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