Nonlinear analysis of elastic space cable-supported membranes

Tsiatas, GC; Katsikadelis, JT

dc.contributor.author	Tsiatas, GC	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:36:28Z
dc.date.available	2014-03-01T01:36:28Z
dc.date.issued	2011	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21305
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Cables	en
dc.subject	Flat membranes	en
dc.subject	Large deflections	en
dc.subject	Meshless BEM	en
dc.subject	Nonlinear	en
dc.subject	Space membranes	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Boundary elements	en
dc.subject.other	Flat membranes	en
dc.subject.other	Large deflection	en
dc.subject.other	Meshless	en
dc.subject.other	Nonlinear	en
dc.subject.other	Space membranes	en
dc.subject.other	Cables	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Membranes	en
dc.title	Nonlinear analysis of elastic space cable-supported membranes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.enganabound.2011.05.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.enganabound.2011.05.005	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper a solution method is presented for the coupled problem of elastic flat or space membranes supported by elastic flexible cables. Both membrane and cable undergo large deflections. Starting from the minimal surface the membrane is prestressed by imposed boundary displacements under the self-weight. Then an iterative procedure is employed, which consists in solving the membrane and the cable large deflection problems separately in each iteration step and checking the continuity of displacements and forces between membrane and cable. The procedure is repeated until convergence is achieved. Both membrane and cable problems are solved using the analog equation method (AEM). The displacements as well as the stress resultants are evaluated at any point of the membrane and the cable from the integral representations of the solution of the analog equations, which are used as mathematical formulae. Example problems are presented, for both flat and space membranes, which illustrate the method and demonstrate its efficiency and accuracy. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/j.enganabound.2011.05.005	en
dc.identifier.isi	ISI:000293052500009	en
dc.identifier.volume	35	en
dc.identifier.issue	10	en
dc.identifier.spage	1149	en
dc.identifier.epage	1158	en