Dynamic analysis of nonlinear membranes by the analog equation method: A boundary-only solution

Katsikadelis, JT

dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:17:44Z
dc.date.available	2014-03-01T01:17:44Z
dc.date.issued	2002	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14642
dc.subject	Analog equation	en
dc.subject	Boundary elements	en
dc.subject	Dynamic analysis	en
dc.subject	Elasticity	en
dc.subject	Membrane	en
dc.subject	Nonlinear	en
dc.subject	Vibrations	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Equations of motion	en
dc.subject.other	Finite element method	en
dc.subject.other	Geometry	en
dc.subject.other	Membranes	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Physical properties	en
dc.subject.other	Analog equation method	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Elasticity	en
dc.title	Dynamic analysis of nonlinear membranes by the analog equation method: A boundary-only solution	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-002-0330-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-002-0330-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	A boundary-only solution is presented for dynamic analysis of elastic membranes under large deflections. The solution procedure is based on the analog equation method (AEM). According to this method, the three coupled nonlinear second order hyperbolic partial differential equations in terms of displacements, which govern the response of the membrane, are replaced with three Poisson's quasi-static equations under fictitious time dependent sources. The fictitious sources are established using a BEM-based procedure and the displacements as well as the stress resultants at any point are evaluated from their integrals representations. Numerical examples are presented which illustrate the method.	en
heal.publisher	SPRINGER-VERLAG	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-002-0330-2	en
dc.identifier.isi	ISI:000177705300009	en
dc.identifier.volume	29	en
dc.identifier.issue	2	en
dc.identifier.spage	170	en
dc.identifier.epage	177	en