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Size-dependent nonlinear vibration of functionally graded composite micro-beams reinforced by carbon nanotubes with piezoelectric layers in thermal environments

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dc.creator Sedighi, Hamid M.
dc.creator Gia Phi, Bui
dc.creator Van Hieu, Dang
dc.creator Sofiyev, Abdullah H.
dc.date 2022-06-01T00:00:00Z
dc.date.accessioned 2023-01-09T11:58:26Z
dc.date.available 2023-01-09T11:58:26Z
dc.identifier 0ea9809a-3b47-4414-861c-a88974dce415
dc.identifier 10.1007/s00707-022-03224-4
dc.identifier https://avesis.sdu.edu.tr/publication/details/0ea9809a-3b47-4414-861c-a88974dce415/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/97557
dc.description Nonlinear free vibration characteristics of functionally graded (FG) composite micro-beams reinforced by carbon nanotubes (CNTs) with piezoelectric layers in thermal environment are investigated in this work. The uniform distribution and four nonuniform distribution types of the CNTs reinforcements are examined. The equations of motion are derived based on the Euler-Bernoulli beam theory with von Karman's assumption, the nonlocal strain gradient theory and the Hamilton's principle. The approximate nonlinear frequencies of FG-carbon nanotube-reinforced composite (CNTRC) micro-beams for simply supported and clamped-clamped boundary conditions are obtained by using two analytical methods including the equivalent linearization method and the energy balance method. The accuracy of the obtained results has been verified. The influences of the nonlocal parameter, material length scale parameter, geometric property of micro-beam, temperature change, applied voltage, distribution pattern and volume fraction of the CNTs on the nonlinear free vibration behaviors of the FG-CNTRC micro-beams are performed and discussed in detail.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Size-dependent nonlinear vibration of functionally graded composite micro-beams reinforced by carbon nanotubes with piezoelectric layers in thermal environments
dc.type info:eu-repo/semantics/article


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