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

Pirentis, AP; Markatis, S; Lazopoulos, KA; Lazopoulos, AK

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