Show simple item record

dc.creatorJočković, Miloš
dc.creatorRadenković, Gligor
dc.creatorNefovska-Danilović, Marija
dc.creatorBaitsch, M.
dc.date.accessioned2019-04-19T14:30:42Z
dc.date.available2019-04-19T14:30:42Z
dc.date.issued2019
dc.identifier.issn0307-904X
dc.identifier.urihttp://grafar.grf.bg.ac.rs/handle/123456789/986
dc.description.abstractThis paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.en
dc.publisherElsevier Inc.
dc.relationinfo:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/36008/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/36046/RS//
dc.rightsrestrictedAccess
dc.sourceApplied Mathematical Modelling
dc.subjectBernoulli�Euler theoryen
dc.subjectIsogeometric analysisen
dc.subjectLinear free vibration analysisen
dc.subjectRayleigh theoryen
dc.subjectSpatial curved beamen
dc.titleFree vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approachen
dc.typearticle
dc.rights.licenseARR
dc.citation.epage172
dc.citation.other71: 152-172
dc.citation.rankM21
dc.citation.spage152
dc.citation.volume71
dc.identifier.doi10.1016/j.apm.2019.02.002
dc.identifier.rcubconv_2049
dc.identifier.scopus2-s2.0-85061832155
dc.identifier.wos000468259900010
dc.type.versionpublishedVersion


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record