An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics

Papadrakakis, M; Fragakis, Y

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Fragakis, Y	en
dc.date.accessioned	2014-03-01T01:16:08Z
dc.date.available	2014-03-01T01:16:08Z
dc.date.issued	2001	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13939
dc.subject	Domain decomposition	en
dc.subject	Rigid body modes	en
dc.subject	Semi-definite problems	en
dc.subject	Structural analysis	en
dc.subject	Zero energy modes	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algebra	en
dc.subject.other	Cost effectiveness	en
dc.subject.other	Geometry	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	Statistical mechanics	en
dc.subject.other	Zero energy modes	en
dc.subject.other	Atmospheric structure	en
dc.subject.other	structural analysis	en
dc.title	An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(01)00234-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(01)00234-1	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A method for the general solution of structural semi-definite problems in the presence of zero energy modes is described in this paper. Semi-definite problems are usually associated in Structural Mechanics with floating structures, namely totally unconstrained or partially constrained structures. A general solution of these problems is obtained by the computation of a particular displacement field, which ensures the equilibrium of the structure, and of the zero energy modes of the structure. The proposed method combines geometric and algebraic concepts and goes beyond the restrictions of existing methods in this field. In particular, it is robust, cost-effective and accounts for all rigid body and mechanism modes, in either floating structures, or semi-definite subdomain problems encountered in domain decomposition methods. Furthermore, it can be combined with any open or closed, serial or parallel solver for symmetric positive definite (SPD) problems, at a very low cost. (C) 2001 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(01)00234-1	en
dc.identifier.isi	ISI:000171780600002	en
dc.identifier.volume	190	en
dc.identifier.issue	49-50	en
dc.identifier.spage	6513	en
dc.identifier.epage	6532	en