Free Vibration of Edge Cracked Functionally Graded Microscale Beams Based on the Modified Couple Stress Theory

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dc.authorid0000-0001-5327-3406en_US
dc.contributor.authorAkbaş, Şeref Doğuşcan
dc.date.accessioned2021-03-20T20:13:55Z
dc.date.available2021-03-20T20:13:55Z
dc.date.issued2017
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.description.abstractIn this study, the free vibration analysis of edge cracked cantilever microscale beams composed of functionally graded material (FGM) is investigated based on the modified couple stress theory (MCST). The material properties of the beam are assumed to change in the height direction according to the exponential distribution. The cracked beam is modeled as a modification of the classical cracked-beam theory consisting of two sub-beams connected by a massless elastic rotational spring. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new nonclassical beam model reduces to the classical one when the length scale parameter is zero. The problem considered is investigated using the Euler Bernoulli beam theory by the finite element method. The system of equations of motion is derived by Lagrange's equations. To verify the accuracy of the present formulation and results, the frequencies obtained are compared with the results available in the literature, for which good agreement is observed. Numerical results are presented to investigate the effect of crack position, beam length, length scale parameter, crack depth, and material distribution on the natural frequencies of the edge cracked FG microbeam. Also, the difference between the classical beam theory (CBT) and MCST is investigated for the vibration characteristics of the beam of concern. It is believed that the results obtained herein serve as a useful reference for research of similar nature.en_US
dc.identifier.doi10.1142/S021945541750033Xen_US
dc.identifier.issn0219-4554
dc.identifier.issn1793-6764
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttp://doi.org/10.1142/S021945541750033X
dc.identifier.urihttps://hdl.handle.net/20.500.12885/965
dc.identifier.volume17en_US
dc.identifier.wosWOS:000399075000004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkbaş, Şeref Doğuşcan
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Structural Stability And Dynamicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectOpen edge cracken_US
dc.subjectmodified couple stress theoryen_US
dc.subjectfunctionally graded materialsen_US
dc.subjectmicrobeamen_US
dc.subjectfree vibrationen_US
dc.titleFree Vibration of Edge Cracked Functionally Graded Microscale Beams Based on the Modified Couple Stress Theoryen_US
dc.typeArticleen_US

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