Superharmonic and subharmonic resonances of atomic force microscope subjected to crack failure mode based on the modified couple stress theory

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dc.authorid0000-0001-5327-3406en_US
dc.contributor.authorAlimoradzadeh M.
dc.contributor.authorAkbaş, Şeref Doğuşcan
dc.date.accessioned2022-04-21T05:40:20Z
dc.date.available2022-04-21T05:40:20Z
dc.date.issued2021en_US
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.description.abstractThe primary purpose of this paper is to investigate the nonlinear dynamic behavior of the atomic force microscopy (AFM) cantilever under the effect of concentrated point load at free end and the crack failure mode in the vicinity of the clamped-edge. The crack was modeled as rotational spring and the cracked AFM considered as a simply support-free micro-beam with a rotational spring in the simply support end. In the frame work of Euler–Bernoulli beam theory, Von-Karman type of geometric nonlinear equation and the modified couple stress theory the nonlinear equation of motion for the cracked AFM is derived by Hamilton’s principle and then discretized by using the Galerkin’s method. The method of multiple scale is employed to investigate, nonresonant hard excitation, superharmonic resonance and subharmonic resonance. Some numerical examples are presented to illustrate the effects of some parameters such as depth of the crack, length scale parameter, tip-mass, the magnitude and the location of the external excitation force on the stability of the response amplitude, and the unstable regions were identified.en_US
dc.identifier.doi10.1140/epjp/s13360-021-01539-0en_US
dc.identifier.issn21905444
dc.identifier.issue5en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/20.500.12885/1911
dc.identifier.volume136en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkbaş, Şeref Doğuşcan
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCouple Stressen_US
dc.subjectGradient Elasticityen_US
dc.subjectMicrobeamsen_US
dc.titleSuperharmonic and subharmonic resonances of atomic force microscope subjected to crack failure mode based on the modified couple stress theoryen_US
dc.typeArticleen_US

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