Genetic Algorithm as a Tool for the Determination of the Self-Stress States of Tensegrity Domes

Abstract

The aim of the paper is to find the appropriate self-stress state of the tensegrity structures. The first approach provides exact solutions but is suitable for simple structures. In the second approach proposed in this research, it is assumed that the forces of the self-stressed state are a set of randomly selected values, which are then optimized by a genetic algorithm. This procedure is intended for more elaborate structures, for which the spectral analysis identifies many self-stress states that need to be superimposed. Two approaches are used, i.e., the spectral analysis of the compatibility matrix and the genetic algorithm. The solution procedures are presented on the example of a simple two-dimensional truss. Next, three different tensegrity domes are considered, i.e., Geiger, Levy and Kiewitt. The significant difference between these domes lies in the cable system. The obtained results are compared with those documented in the literature. It follows from the considerations that the self-stressed states found in the literature are not always accurate (forces do not balance themselves). The presented results confirm the effectiveness of the genetic algorithm for finding self-balanced forces of the existing structures. The method is relatively simple and provides sufficiently accurate results.

Parametric dynamic analysis of tensegrity cable-strut domes

“…Most of the research to date focuses on layout design (Rebielak, 2000;Yuan et al, 2007), form-finding methods (Lee et al, 2009), or shape optimization (Kawaguchi et al, 1999;Zhang and Feng, 2017). A smaller number of studies focused on static parameters of tensegrity structures (Shen et al, 2021;Sun et al, 2021;Obara et al, 2023a), and only a few on the dynamic behaviour of dome systems (Obara, 2019; Kim and Sin, 2014;Atig et al, 2017). Due to a non-conventional shape, the complete dynamic analysis of tensegrity domes can be challenging.…”

Steel ribbed dome structural performance with different node connections and bracing system

“…Grzywiński 24 reviewed layer optimization braced domes, where a mass reduction reached 46.6%. Various methods have been developed or adopted to optimize the structure, indicating the importance of the problem 25 – 28 . Sometimes the methods of structural optimization can be quite surprising, as in paper Kaveh at all 29 where the Forensic-Based Investigation algorithm, which is a criminal investigation process in criminology, was utilized.…”