Nonlinear dynamic analysis of heterogeneous orthotropic membranes by the analog equation method

Katsikadelis, JT; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:19:19Z
dc.date.available	2014-03-01T01:19:19Z
dc.date.issued	2003	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15424
dc.subject	Heterogeneous	en
dc.subject	Membrane	en
dc.subject	Nonlinear dynamic	en
dc.subject	Orthotropic	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Dynamic response	en
dc.subject.other	Dynamics	en
dc.subject.other	Elasticity	en
dc.subject.other	Functions	en
dc.subject.other	Integration	en
dc.subject.other	Membranes	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Heterogenous membranes	en
dc.subject.other	Boundary element method	en
dc.title	Nonlinear dynamic analysis of heterogeneous orthotropic membranes by the analog equation method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(02)00089-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(02)00089-9	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper, the analog equation method, a BEM-based method, is employed to analyze the dynamic response of flat heterogeneous orthotropic membranes of arbitrary shape, undergoing large deflections. The problem is formulated in terms of the three displacement components. Due to the heterogeneity of the membrane, the elastic constants are position dependent and consequently the coefficients of the partial differential equations governing the dynamic equilibrium of the membrane are variable. Using the concept of the analog equation, the three-coupled nonlinear second order hyperbolic partial differential equations are replaced with three uncoupled Poisson's quasi-static equations with fictitious time dependent sources. The fictitious sources are represented by radial basis functions series and are established using a BEM-based procedure. Both free and forced vibrations are considered. Membranes of various shapes are analyzed to illustrate the merits of the method as well as its applicability, efficiency and accuracy. The proposed method is boundary-only in the sense that the discretization and the integration are restricted on the boundary. Therefore, it maintains all the advantages of the pyre BEM. (C) 2002 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)00089-9	en
dc.identifier.isi	ISI:000180996900005	en
dc.identifier.volume	27	en
dc.identifier.issue	2	en
dc.identifier.spage	115	en
dc.identifier.epage	124	en