@ARTICLE{Obara_Paulina_Qualitative_2023,
 author={Obara, Paulina and Solovei, Maryna and Tomasik, Justyna},
 volume={71},
 number={1},
 journal={Bulletin of the Polish Academy of Sciences Technical Sciences},
 pages={e144574},
 howpublished={online},
 year={2023},
 abstract={The paper concerns steel domes with regard to the special structures named tensegrity. Tensegrities are characterized by the occurrence of self-stress states. Some of them are also characterized by the presence of infinitesimal mechanisms. The aim of this paper is to prove that only tensegrity domes with mechanisms are sensitive to the change of the level of initial prestress. Two tensegrity domes are considered. In addition, a standard single-layer dome is taken into account for comparison. The analysis is carried out in two stages. Firstly, the presence of the characteristic tensegrity features is examined (qualitative analysis). Next, the behavior under static external loads is studied (quantitative analysis). In particular, the influence of the initial prestress level on displacements, effort, and stiffness of the structure is analyzed. To evaluate this behavior, a geometrically non-linear model is used. The model is implemented in an original program written in the Mathematica environment. The analysis demonstrates that for a dome with mechanisms, the adjustment of pre-stressing forces influences the static properties. It has been found that the stiffness depends not only on the geometry and properties of the material but also on the initial prestress level and external load. In the case of the non-existence of mechanisms, structures are insensitive to the initial prestress level.},
 type={Article},
 title={Qualitative and quantitative analysis of tensegrity domes},
 URL={http://www.czasopisma.pan.pl/Content/126131/PDF-MASTER/BPASTS_2023_71_1_3013.pdf},
 doi={10.24425/bpasts.2023.144574},
 keywords={tensegrity dome, self-stress state, infinitesimal mechanism, geometrical non-linear analysis},
}