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dc.contributor.authorNešić, Nikolaen_US
dc.contributor.authorCajić, Milanen_US
dc.contributor.authorKarličić, Daniloen_US
dc.contributor.authorJanevski, Goranen_US
dc.date.accessioned2020-07-15T11:02:16Z-
dc.date.available2020-07-15T11:02:16Z-
dc.date.issued2020-07-02-
dc.identifier.issn0954-4062-
dc.description.abstractThis paper investigates the dynamic behavior of a geometrically nonlinear nanobeam resting on the fractional visco-Pasternak foundation and subjected to dynamic axial and transverse loads. The fractional-order governing equation of the system is derived and then discretized by using the single-mode Galerkin discretization. Corresponding forced Mathieu-Duffing equation is solved by using the perturbation multiple time scales method for the weak nonlinearity and by the semi-numerical incremental harmonic balance method for the strongly nonlinear case. A comparison of the results from two methods is performed in the validation study for the weakly nonlinear case and a fine agreement is achieved. A parametric study is performed and the advantages and deficiencies of each method are discussed for order two and three superharmonic resonance conditions. The results demonstrate a significant influence of the fractional-order damping of the visco-Pasternak foundation as well as the nonlocal parameter and external excitation load on the frequency response of the system. The proposed methodology can be used in pre-design procedures of novel energy harvesting and sensor devices at small scales exhibiting nonlinear dynamic behavior.en_US
dc.publisherSAGE Journalsen_US
dc.relation.ispartofProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Scienceen_US
dc.subjectfractional damping | incremental harmonic balance | multiple scales method | Nanobeams | nonlinear vibration | nonlocal elasticityen_US
dc.titleNonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundationen_US
dc.typeArticleen_US
dc.identifier.doi10.1177/0954406220936322-
dc.identifier.scopus2-s2.0-85087447021-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.description.rankM23-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
crisitem.author.orcid0000-0001-5513-0417-
crisitem.author.orcid0000-0002-7547-9293-
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