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Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation
dc.creator | Cajić, Milan | |
dc.creator | Karličić, Danilo | |
dc.creator | Lazarević, Mihailo | |
dc.date.accessioned | 2023-02-02T18:31:24Z | |
dc.date.available | 2023-02-02T18:31:24Z | |
dc.date.issued | 2017 | |
dc.identifier.isbn | 978-86-909973-6-7 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/4150 | |
dc.description.abstract | In this work, we observe combined parametric and external sub-harmonic resonances of order one-third of a geometrically nonlinear nonlocal nanobeam model resting on a fractional visco- Pasternak type foundation. Euler-Bernoulli beam theory, nonlinear strain-displacement relation and nonlocal elasticity constitutive equation are employed to obtained fractional order governing equation for the transverse vibration of a system. Under the assumption of small fractional damping, we used the perturbation multiple-scales method to obtain an approximated analytical solution for the frequency-amplitude response for variable axial and transverse external loads. Several numerical examples are given to show the effects of different parameters on frequencyamplitude response. | sr |
dc.language.iso | en | sr |
dc.publisher | Beograd : Srpsko društvo za mehaniku | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174001/RS// | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35006/RS// | sr |
dc.rights | openAccess | sr |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017 | sr |
dc.subject | combined resonance | sr |
dc.subject | nonlinear oscillations | sr |
dc.subject | fractional derivatives | sr |
dc.subject | visco-Pasternak | sr |
dc.subject | multiple scales | sr |
dc.subject | nonlocal elasticity | sr |
dc.subject | nanobeam | sr |
dc.title | Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation | sr |
dc.type | conferenceObject | sr |
dc.rights.license | BY-NC-ND | sr |
dc.citation.epage | 4 | |
dc.citation.rank | M33 | |
dc.citation.spage | 1 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/9728/bitstream_9728.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_4150 | |
dc.type.version | publishedVersion | sr |