A resource-efficient form-finding approach to tensegrity structures
ISSN: 0264-4401
Article publication date: 21 November 2023
Issue publication date: 4 March 2024
Abstract
Purpose
The aim of this article is to obtain a stable tensegrity structure by using the minimum knowledge of the structure.
Design/methodology/approach
Three methods have been formulated based on the eigen value decomposition (EVD) and singular value decomposition theorems. These two theorems are being implemented on the matrices, which are computed from the minimal data of the structure. The required minimum data for the structure is the dimension of the structure, the connectivity matrix of the structure and the initial force density matrix computed from the type of elements. The stability of the structure is analyzed based on the rank deficiency of the force density matrix and equilibrium matrix.
Findings
The main purpose of this article is to use the defined methods to find (1) the nodal coordinates of the structure, (2) the final force density values of the structure, (3) single self-stress from multiple self-stresses and (4) the stable structure.
Originality/value
By using the defined approaches, one can understand the difference of each method, which includes, (1) the selection of eigenvalues, (2) the selection of nodal coordinates from the first decomposition theorem, (3) the selection of mechanism mode and force density values further and (4) the solution of single feasible self-stress from multiple self-stresses.
Keywords
Citation
Liu, H., Sanaullah, Vumiliya, A. and Luo, A. (2024), "A resource-efficient form-finding approach to tensegrity structures", Engineering Computations, Vol. 41 No. 1, pp. 1-17. https://doi.org/10.1108/EC-07-2023-0354
Publisher
:Emerald Publishing Limited
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