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	2014-03-01T02:41:56Z
dc.date.available	2014-03-01T02:41:56Z
dc.date.issued	2001	en
dc.identifier.issn	14601419	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30689
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-2942707839&partnerID=40&md5=a917ac09bcf2a8c4bd228120aef0c5f8	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-2942707839&partnerID=40&md5=a917ac09bcf2a8c4bd228120aef0c5f8	en
dc.title	Nonlinear dynamic analysis of heterogeneous orthotropic membranes by the analog equation method	en
heal.type	conferenceItem	en
heal.publicationDate	2001	en
heal.abstract	In this paper the Analog Equation Method (AEM), 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 base 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 pure BEM.	en
heal.journalName	International Series on Advances in Boundary Elements	en
dc.identifier.volume	10	en
dc.identifier.spage	139	en
dc.identifier.epage	148	en