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Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory

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dc.creator Hadji, Lazreg
dc.creator AVCAR, Mehmet
dc.date 2021-03-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:15:44Z
dc.date.available 2021-12-03T11:15:44Z
dc.identifier 191715ca-f51e-42b2-9d26-e9922f416b62
dc.identifier 10.12989/anr.2021.10.3.281
dc.identifier https://avesis.sdu.edu.tr/publication/details/191715ca-f51e-42b2-9d26-e9922f416b62/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/90186
dc.description This paper presents a new nonlocal Hyperbolic Shear Deformation Beam Theory (HSDBT) for the free vibration of porous Functionally Graded (FG) nanobeams. A new displacement field containing integrals is proposed which involves only three variables. The present model incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect and its account for shear deformation by a hyperbolic variation of all displacements through the thickness without using the shear correction factor. It has been observed that during the manufacture of Functionally Graded Materials (FGMs), micro-voids and porosities can occur inside the material. Thus, in this work, the investigation of the free vibration analysis of FG beams taking into account the influence of these imperfections is established. Four different porosity types are considered for FG nanobeam. Material characteristics of the FG beam are supposed to vary continuously within thickness direction according to a power-law scheme which is modified to approximate material characteristics for considering the influence of porosities. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the nanobeam are derived using Hamilton's principle. The effects of nonlocal parameter, aspect ratio, and the porosity types on the dynamic responses of the nanobeam are discussed.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory
dc.type info:eu-repo/semantics/article


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