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On the singularities of constrained tensegrity systems - Application to a modified T3 model

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dc.contributor.author Pirentis, AP en
dc.contributor.author Markatis, S en
dc.contributor.author Lazopoulos, KA en
dc.contributor.author Lazopoulos, AK en
dc.date.accessioned 2014-03-01T01:31:34Z
dc.date.available 2014-03-01T01:31:34Z
dc.date.issued 2009 en
dc.identifier.issn 0044-2267 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/19823
dc.subject Bifurcation, stability en
dc.subject Constraints en
dc.subject Singularity theory en
dc.subject Tensegrity en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mechanics en
dc.subject.other ELASTICA SOLUTION en
dc.subject.other CELL MECHANICS en
dc.subject.other CYTOSKELETON en
dc.subject.other STABILITY en
dc.title On the singularities of constrained tensegrity systems - Application to a modified T3 model en
heal.type journalArticle en
heal.identifier.primary 10.1002/zamm.200700152 en
heal.identifier.secondary http://dx.doi.org/10.1002/zamm.200700152 en
heal.language English en
heal.publicationDate 2009 en
heal.abstract Singularity theory is applied for the study of constrained tensegrity systems. Previous studies have already been performed on non-constrained systems; however, the present one allows for general non-symmetric equilibrium configurations. A modified T3 tensegrity model comprising seven rigid bars, three elastic cables and one rotational spring is considered. The stability of this model is examined performing singularity theory for deformations under conservative quasistatic loading. Critical conditions for branching of the equilibrium paths are defined and their post-critical behavior is discussed. Classification of the simple and compound singularities of the total potential energy function is effected. The theory is implemented into the fold catastrophe of the asymmetric configuration of the modified T3 tensegrity model and an elliptic umbilic singularity for the case of compound branching. It is pointed out that singularity studies with constraints demand a quite different mathematical approach than those without constraints. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim en
heal.publisher WILEY-V C H VERLAG GMBH en
heal.journalName ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik en
dc.identifier.doi 10.1002/zamm.200700152 en
dc.identifier.isi ISI:000264359800001 en
dc.identifier.volume 89 en
dc.identifier.issue 2 en
dc.identifier.spage 71 en
dc.identifier.epage 87 en


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