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dc.contributor.authorEroğlu, Uğurcan
dc.contributor.authorRuta, Giuseppe
dc.date.accessioned2023-03-06T06:47:59Z
dc.date.available2023-03-06T06:47:59Z
dc.date.issued2022en_US
dc.identifier.citationEroğlu, U., & Ruta, G. (2022). Approximate closed-form solutions for vibration of nano-beams of local/non-local mixture. Meccanica, 57(12), 3033–3049. https://doi.org/10.1007/s11012-022-01612-7‌en_US
dc.identifier.issn256455
dc.identifier.urihttps://doi.org/10.1007/s11012-022-01612-7
dc.identifier.urihttps://hdl.handle.net/20.500.11779/1892
dc.description.abstractThis paper presents an approach to natural vibration of nano-beams by a linear elastic constitutive law based on a mixture of local and non-local contributions, the latter based on Eringen's model. A perturbation in terms of an evolution parameter lets incremental field equations be derived; another perturbation in terms of the non-local volume fraction yields the variation of the natural angular frequencies and modes with the 'small' amount of non-locality. The latter perturbation does not need to comply with the so-called constitutive boundary conditions, the physical interpretation of which is still debated. The possibility to find closed-form solutions is highlighted following a thorough discussion on the compatibility conditions needed to solve the steps of the perturbation hierarchy; some paradigmatic examples are presented and duly commented.en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConstitutive boundary conditionsen_US
dc.subjectNano-beamsen_US
dc.subjectNatural vibrationen_US
dc.subjectNon-local elasticityen_US
dc.subjectPerturbation methodsen_US
dc.titleApproximate closed-form solutions for vibration of nano-beams of local/non-local mixtureen_US
dc.typearticleen_US
dc.relation.journalMeccanicaen_Us
dc.departmentMühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.authoridEroğlu, Uğurcan / 0000-0002-2446-0947en_US
dc.identifier.issue57en_US
dc.identifier.startpage3033-3049en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.description.wosidWOS:000889032000001en_US
dc.description.scopusid2-s2.0-85142699132en_US
dc.contributor.institutionauthorEroğlu, Uğurcan
dc.description.woscitationindexScience Citation Index Expandeden_US
dc.identifier.wosqualityQ3en_US
dc.description.WoSDocumentTypeArticleen_US
dc.description.WoSInternationalCollaborationUluslararası işbirliği ile yapılan - EVETen_US
dc.description.WoSIndexDate2022en_US
dc.description.WoSYOKperiodYÖK - 2022-23en_US
dc.identifier.doi10.1007/s11012-022-01612-7en_US
dc.description.PublishedMonthAralıken_US
dc.identifier.scopusqualityQ2en_US


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