Free vibration of a cracked FG microbeam embedded in an elastic matrix and exposed to magnetic field in a thermal environment

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dc.authoridEltaher, Mohamed A./0000-0003-3116-2101
dc.authoridEsen, Ismail/0000-0002-7853-1464
dc.contributor.authorEsen, Ismail
dc.contributor.authorOzarpa, Cevat
dc.contributor.authorEltaher, Mohamed A.
dc.date.accessioned2024-09-29T15:55:14Z
dc.date.available2024-09-29T15:55:14Z
dc.date.issued2021
dc.departmentKarabük Üniversitesien_US
dc.description.abstractA mathematical model is developed, though this article, to investigate a vibrational behaviour of functionally graded (FG) cracked microbeam rested on elastic foundation and exposed to thermal and magnetic fields. The model includes a size scale effect and temperature dependent material properties, for the first time. The crack is modelled as a rotating spring, that is connecting the two parts of the microbeam at the crack's position. The equation of motion of the FG microbeam is obtained by using the Euler-Bernoulli beam theory for kinematic assumption and nonlocal elasticity theory for size- dependency effects. The transverse Lorentz force induced from the magnetic field is derived using Maxwell's equations. By adding the effects of thermal loading and foundation parameters on the cracked micro beam, the motion equation of the entire system is obtained using the Hamilton's principle and then solved with a Navier type solution method. Eight constraints equations are used to derived the frequency equation, which are boundary conditions at the end points and the displacement, slope, bending moment and transverse force continuity in the section where the crack is located. The resulting system of equations is solved sequentially, and natural frequencies and vibration modes of the cracked microbeam are obtained. The model is verified with previous published work. Numerical results are presented to illustrate influences of temperature, material composition, foundation parameters and magnetic field on the dynamics of the cracked FG microbeam.en_US
dc.identifier.doi10.1016/j.compstruct.2021.113552
dc.identifier.issn0263-8223
dc.identifier.issn1879-1085
dc.identifier.scopus2-s2.0-85099876988en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.compstruct.2021.113552
dc.identifier.urihttps://hdl.handle.net/20.500.14619/4528
dc.identifier.volume261en_US
dc.identifier.wosWOS:000641800400033en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofComposite Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCracked microbeamen_US
dc.subjectNonlocal elasticityen_US
dc.subjectMagnetic fielden_US
dc.subjectThermal loadingen_US
dc.subjectFunctionally graded materialsen_US
dc.subjectElastic foundationen_US
dc.subjectVibration analysisen_US
dc.titleFree vibration of a cracked FG microbeam embedded in an elastic matrix and exposed to magnetic field in a thermal environmenten_US
dc.typeArticleen_US

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