Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams

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dc.authoridShabani, Shkelzen/0000-0003-3852-9711
dc.contributor.authorCunedioglu, Yusuf
dc.contributor.authorShabani, Shkelzen
dc.date.accessioned2024-11-07T13:25:20Z
dc.date.available2024-11-07T13:25:20Z
dc.date.issued2020
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractFree vibration analysis of a single edge cracked multi-layered symmetric sandwich stepped Timoshenko beams, made of functionally graded materials, is studied using finite element method and linear elastic fracture mechanic theory. The cantilever functionally graded beam consists of 50 layers, assumed that the second stage of the beam (step part) is created by machining. Thus, providing the material continuity between the two beam stages. It is assumed that material properties vary continuously, along the thickness direction according to the exponential and power laws. A developed MATLAB code is used to find the natural frequencies of three types of the stepped beam, concluding a good agreement with the known data from the literature, supported also by ANSYS software in data verification. In the study, the effects of the crack location, crack depth, power law gradient index, different material distributions, different stepped length, different cross-sectional geometries on natural frequencies and mode shapes are analysed in detail.
dc.identifier.doi10.1177/1369433220939214
dc.identifier.endpage3428
dc.identifier.issn1369-4332
dc.identifier.issn2048-4011
dc.identifier.issue16
dc.identifier.scopus2-s2.0-85087760887
dc.identifier.scopusqualityQ1
dc.identifier.startpage3415
dc.identifier.urihttps://doi.org/10.1177/1369433220939214
dc.identifier.urihttps://hdl.handle.net/11480/14652
dc.identifier.volume23
dc.identifier.wosWOS:000548604700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSage Publications Inc
dc.relation.ispartofAdvances in Structural Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectcracked stepped beam
dc.subjectfinite element method
dc.subjectfree vibration
dc.subjectfunctionally graded materials
dc.subjectTimoshenko beam
dc.titleFree vibration analysis of a single edge cracked symmetric functionally graded stepped beams
dc.typeArticle

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