Nonlinear dynamic analysis of viscoelastic membranes described with fractional differential models [Analiza nieliniowej dynamiki lepko-spre{ogonek}żystych powłok opisanych modelem o pochodnej ułamkowej]

Katsikadelis, JT

dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T02:11:32Z
dc.date.available	2014-03-01T02:11:32Z
dc.date.issued	2012	en
dc.identifier.issn	14292955	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29933
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84864065556&partnerID=40&md5=6e58cda420122cce346d098939212dea	en
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Nonlinear fractional differential equations	en
dc.subject	Nonlinear vibrations	en
dc.subject	Viscoelastic membranes	en
dc.title	Nonlinear dynamic analysis of viscoelastic membranes described with fractional differential models [Analiza nieliniowej dynamiki lepko-spre{ogonek}żystych powłok opisanych modelem o pochodnej ułamkowej]	en
heal.type	journalArticle	en
heal.publicationDate	2012	en
heal.abstract	The dynamic response of an initially flat viscoelastic membrane is investigated. The viscoelastic model is described with fractional order derivatives. The membrane is subjected to surface transverse and inplane dynamic loads. The governing equations are three coupled second order nonlinear partial FDEs (fractional differential equations) of hyperbolic type in terms of the displacement components. These equations are solved using the BEM for fractional partial differential equations developed recently by Katsikadelis. Without excluding other viscoelastic models, the herein employed material is the Kelvin-Voigt model with a fractional order derivative. Numerical examples are presented which not only demonstrate the efficiency of the solution procedure, but also give a better insight into this complicated but very interesting response of structural viscoelastic membranes. It is worth noting that in case of resonance, phenomena similar to those of the Duffing equation are observed.	en
heal.journalName	Journal of Theoretical and Applied Mechanics	en
dc.identifier.volume	50	en
dc.identifier.issue	3	en
dc.identifier.spage	743	en
dc.identifier.epage	753	en