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dc.contributor.authorPaunović, Stepaen
dc.contributor.authorCajić, Milanen
dc.contributor.authorKarličić, Daniloen
dc.contributor.authorMijalković, Marinaen
dc.date.accessioned2020-04-26T19:36:38Z-
dc.date.available2020-04-26T19:36:38Z-
dc.date.issued2019-12-22en
dc.identifier.issn0022-460Xen
dc.description.abstractThe Galerkin method is widely applied for finding approximate solutions to vibration problems of beam and plate structures and for estimating their dynamic behavior. Most studies employ the Galerkin method in the analysis of the undamped systems, or for simple structure models with viscous damping. In this paper, a novel approach of using the Galerkin method and Fourier transform to find the solution to the problem of vibration of fractionally damped beams with an arbitrary number of attached concentrated masses and base excitation is presented. The considered approach is novel and it lends itself to determination of the impulse response of the beam and leads to the solution of the system of coupled fractional order differential equations. The proposed approximate solution is validated against the exact solution for a special case with only one tip mass attached, as well as against the Finite Element Method Solution for a special case with classical viscous damping model. Numerical analysis is also given, including the examples of vibration analysis of viscoelastic beams with different fractional derivative orders, retardation times, and the number, weight and position of the attached masses.en
dc.publisherElsevier-
dc.relationDynamics of hybrid systems with complex structures. Mechanics of materials.-
dc.relationMarie Skłodowska-Curie Actions - European Commission fellowship, 799201-METACTIVE-
dc.relation.ispartofJournal of Sound and Vibrationen
dc.subjectBase excitation | Beam mass system | Fractional viscoelasticity | Galerkin method | Impulse responseen
dc.titleA novel approach for vibration analysis of fractional viscoelastic beams with attached masses and base excitationen
dc.typeArticleen
dc.identifier.doi10.1016/j.jsv.2019.114955en
dc.identifier.scopus2-s2.0-85072613935en
dc.relation.volume463en
dc.description.rankM21-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0001-9785-4851-
crisitem.author.orcid0000-0001-5513-0417-
crisitem.author.orcid0000-0002-7547-9293-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174001e.php-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NWO/null/2300174001-
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