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Finite Element Modeling for Vibration of Initially Stressed Non- local Euler-Bernoulli Beams

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dc.contributor.author Dinçkal, Çiğdem
dc.date.accessioned 2024-03-26T12:49:36Z
dc.date.available 2024-03-26T12:49:36Z
dc.date.issued 2016
dc.identifier.citation Dinçkal, Ç. (2016). "Finite Element Modeling for Vibration of Initially Stressed Non- local Euler-Bernoulli Beams", Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Vol.12, No.3, pp.399-412. tr_TR
dc.identifier.issn 1305-130X
dc.identifier.uri http://hdl.handle.net/20.500.12416/7737
dc.description.abstract This paper is concerned with a precise finite element model for vibration analysis of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli and Eringen's nonlocal elasticity theory. For this purpose analytical solutions for the exact dynamic shape functions has been derived by also use of Hamiltonian's principle for the governing equations. The solution is applicable to various initial stresses such as tensile and compressive and scaling effect. The exact dynamic shape functions have been constructed to obtain analytic expressions for the exact dynamic element stiffness matrix components. Numerical results are displayed to indicate the effects of initial stresses and scaling effect parameters on the vibration characteristics of initially stressed clamped nonlocal Euler-Bernoulli beams. For the first time in literature, this study presents such an element formulation that it provides adequate and accurate representation of the vibration behavior of initially stressed micro/nano beams based on nonlocal Euler-Bernoulli beam theory. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Exact Dynamic Shape Functions tr_TR
dc.subject Exact Dynamic Stiffness Matrix tr_TR
dc.subject Finite Element Method tr_TR
dc.subject Initially Stressed Nonlocal Euler-Bernoulli Beams tr_TR
dc.subject Nonlocal Elasticity tr_TR
dc.title Finite Element Modeling for Vibration of Initially Stressed Non- local Euler-Bernoulli Beams tr_TR
dc.type article tr_TR
dc.relation.journal Celal Bayar Üniversitesi Fen Bilimleri Dergisi tr_TR
dc.contributor.authorID 26773 tr_TR
dc.identifier.volume 12 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 399 tr_TR
dc.identifier.endpage 412 tr_TR
dc.contributor.department Çankaya Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü tr_TR


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