Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/109626
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dc.contributor.authorGhayesh, M.en
dc.contributor.authorFarokhi, H.en
dc.date.issued2016en
dc.identifier.citationJournal of Computational and Nonlinear Dynamics, 2016; 11(4):041001-1-041001-10en
dc.identifier.issn1555-1415en
dc.identifier.issn1555-1423en
dc.identifier.urihttp://hdl.handle.net/2440/109626-
dc.description.abstractThis paper aims at analyzing the coupled nonlinear dynamical behavior of geometrically imperfect shear deformable extensible microbeams based on the third-order shear deformation and modified couple stress theories. Using Hamilton’s principle and taking into account extensibility, the three nonlinear coupled continuous expressions are obtained for an initially slightly curved (i.e., a geometrically imperfect) microbeam, describing the longitudinal, transverse, and rotational motions. A high-dimensional Galerkin scheme is employed, together with an assumed-mode technique, in order to truncate the continuous system with an infinite number of degrees of freedom into a discretized model with sufficient degrees of freedom. This high-dimensional discretized model is solved by means of the pseudo-arclength continuation technique for the system at the primary resonance, and also by direct time-integration to characterize the dynamic response at a fixed forcing amplitude and frequency; stability analysis is conducted via the Floquet theory. Apart from analyzing the nonlinear resonant response, the linear natural frequencies are obtained via an eigenvalue analysis. Results are shown through frequency–response curves, force–response curves, time traces, phase-plane portraits, and fast Fourier transforms (FFTs). The effect of taking into account the length-scale parameter on the coupled nonlinear dynamic response of the system is also highlighted.en
dc.description.statementofresponsibilityMergen H. Ghayesh, Hamed Farokhien
dc.language.isoenen
dc.publisherASME-American Society of Mechanical Engineersen
dc.rightsCopyright © 2016 by ASMEen
dc.subjectCoupled nonlinear dynamics; third-order shear deformation theory; modified coupled stress theory; initial imperfectionen
dc.titleCoupled nonlinear dynamics of geometrically imperfect shear deformable extensible microbeamsen
dc.typeJournal articleen
dc.identifier.rmid0030066072en
dc.identifier.doi10.1115/1.4031288en
dc.identifier.pubid293083-
pubs.library.collectionMechanical Engineering publicationsen
pubs.library.teamDS14en
pubs.verification-statusVerifieden
pubs.publication-statusPublisheden
Appears in Collections:Mechanical Engineering publications

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