Ponding on floating membranes

Nerantzaki, MS; Katsikadelis, JT

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T02:49:15Z
dc.date.available	2014-03-01T02:49:15Z
dc.date.issued	2002	en
dc.identifier.issn	14601419	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34449
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-2942718749&partnerID=40&md5=f384146a97629be3994a1cd90710a4af	en
dc.title	Ponding on floating membranes	en
heal.type	conferenceItem	en
heal.publicationDate	2002	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 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 (AEM), 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.	en
heal.journalName	International Series on Advances in Boundary Elements	en
dc.identifier.volume	13	en
dc.identifier.spage	219	en
dc.identifier.epage	230	en