Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/118153
Citations
Scopus Web of Science® Altmetric
?
?
Full metadata record
DC FieldValueLanguage
dc.contributor.authorGhayesh, M.en
dc.contributor.authorFarokhi, H.en
dc.date.issued2018en
dc.identifier.citationNonlinear Dynamics, 2018; 91(1):17-28en
dc.identifier.issn0924-090Xen
dc.identifier.issn1573-269Xen
dc.identifier.urihttp://hdl.handle.net/2440/118153-
dc.description.abstractThe nonlinear bending and vibrations of tapered beams made of axially functionally graded (AFG) material are analysed numerically. For a clamped–clamped boundary conditions, Hamilton’s principle is employed so as to balance the potential and kinetic energies, the virtual work done by the damping, and that done by external distributed load. The nonlinear strain–displacement relations are employed to address the geometric nonlinearities originating from large deflections and induced nonlinear tension. Exponential distributions along the length are assumed for the mass density, moduli of elasticity, Poisson’s ratio, and cross-sectional area of the AFG tapered beam; the non-uniform mechanical properties and geometry of the beam along the length make the system asymmetric with respect to the axial coordinate. This non-uniform continuous system is discretised via the Galerkin modal decomposition approach, taking into account a large number of symmetric and asymmetric modes. The linear results are compared and validated with the published results in the literature. The nonlinear results are computed for both static and dynamic cases. The effect of different tapered ratios as well as the gradient index is investigated; the numerical results highlight the importance of employing a high-dimensional discretised model in the analysis of AFG tapered beams.en
dc.description.statementofresponsibilityMergen H. Ghayesh, Hamed Farokhien
dc.language.isoenen
dc.publisherSpringeren
dc.rights© Springer Science+Business Media B.V. 2017en
dc.subjectAxially functionally graded material; tapered beam; forced nonlinear vibration; nonlinear static responseen
dc.titleBending and vibration analyses of coupled axially functionally graded tapered beamsen
dc.typeJournal articleen
dc.identifier.rmid0030077732en
dc.identifier.doi10.1007/s11071-017-3783-8en
dc.identifier.pubid387651-
pubs.library.collectionMathematical Sciences publicationsen
pubs.library.teamDS10en
pubs.verification-statusVerifieden
pubs.publication-statusPublisheden
Appears in Collections:Mathematical Sciences publications

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.