Ponding on floating membranes

Nerantzaki, MS; Katsikadelis, JT

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:19:26Z
dc.date.available	2014-03-01T01:19:26Z
dc.date.issued	2003	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15489
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Elastic membranes	en
dc.subject	Floating	en
dc.subject	Fluid structure interaction	en
dc.subject	Large deflections	en
dc.subject	Nonlinear	en
dc.subject	Ponding	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary element method	en
dc.subject.other	Membranes	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Floating membranes	en
dc.subject.other	Ponding	en
dc.title	Ponding on floating membranes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(02)00114-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(02)00114-5	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Membranes subjected to ponding loads and floating on a liquid are analyzed. The initially flat membrane, which may be prestressed by edge in-plane tractions or displacements, is subjected to the weight of a liquid (e.g. rain water) filling the space created by the deflection of the membrane. Large deflections of membranes are considered, which result from nonlinear kinematic relations. The three coupled nonlinear equations in terms of the displacements governing the response of the membrane are solved using the analog equation method. which reduces the problem to the solution of three uncoupled Poisson's equations with fictitious sources. The problem is strongly nonlinear. In addition to the geometrical nonlinearity, the ponding problem is itself nonlinear, because the ponding load and the liquid reaction are not a priori known as they depend on the produced deflection surface. Iterative schemes are developed which converge to the equilibrium state of the membrane. Example problems are presented, which illustrate the method and demonstrate its efficiency. The method has all the advantages of the pure BEM. (C) 2003 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(02)00114-5	en
dc.identifier.isi	ISI:000184052900004	en
dc.identifier.volume	27	en
dc.identifier.issue	6	en
dc.identifier.spage	589	en
dc.identifier.epage	596	en