Dynamics of size-dependent multilayered shear deformable microbeams with axially functionally graded core and non-uniform mass supported by an intermediate elastic support

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dc.contributor.authorSibtain, M.
dc.contributor.authorYee, K.
dc.contributor.authorOng, O.Z.S.
dc.contributor.authorGhayesh, M.H.
dc.contributor.authorAmabili, M.
dc.date.issued2023
dc.descriptionAvailable online 1 November 2022
dc.description.abstractThe current study investigates the coupled dynamics of a size-dependent third-order shear deformable multilayered microbeam with an axially functionally graded core, a non-uniform mass distribution (mass imperfection) and an intermediate elastic support. A power-law function is used to model the material properties in the longitudinal direction of the core. The equations of motion are obtained by formulating the energies of the system while employing the modified couple stress theory to include miniature size effects within the multilayered microbeam structure. Hamilton's principle and the modal decomposition method are utilised to derive and solve the coupled motion equations. The equations of motion are first verified against a former work on a simplified microbeam system, while the numerical results are validated by comparison to those of a simplified functionally graded in axial direction obtained by finite element macrobeam simulation. It was concluded that increasing either the power term constant of the material grading or the value of the localized mass imperfection (when ) causes the first and second transverse and axial natural frequencies of the three-layered microbeam to decrease, whereas increasing the length-scale parameter causes the natural frequencies of transverse modes to increase, demonstrating the size-dependent effects of the three-layered microbeam.
dc.description.statementofresponsibilityMoaz Sibtain, Kelly Yee, Oscar Zi Shao Ong, Mergen H. Ghayesh, Marco Amabili
dc.identifier.citationEngineering Analysis with Boundary Elements, 2023; 146:263-283
dc.identifier.doi10.1016/j.enganabound.2022.10.030
dc.identifier.issn0955-7997
dc.identifier.issn1873-197X
dc.identifier.orcidSibtain, M. [0009-0005-7366-9658]
dc.identifier.orcidYee, K. [0000-0002-2975-7678]
dc.identifier.orcidOng, O.Z.S. [0000-0002-7203-8628]
dc.identifier.urihttps://hdl.handle.net/2440/140011
dc.language.isoen
dc.publisherElsevier
dc.rights© 2022 Elsevier Ltd. All rights reserved.
dc.source.urihttps://doi.org/10.1016/j.enganabound.2022.10.030
dc.subjectMultilayered microbeam; Axially functionally graded core layer; Modified couple stress theory; Non-uniform mass; Elastic support; Free vibrations
dc.titleDynamics of size-dependent multilayered shear deformable microbeams with axially functionally graded core and non-uniform mass supported by an intermediate elastic support
dc.typeJournal article
pubs.publication-statusPublished

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