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dc.contributor.authorVan Khang, Nguyen
dc.contributor.authorThuy, Bui Thi
dc.contributor.authorChung, Phạm Thanh
dc.date.accessioned2022-05-08T09:02:11Z
dc.date.available2022-05-08T09:02:11Z
dc.date.copyright4/12/2022 12:00:00 AM
dc.date.issued2022
dc.identifier.issn1555-1415
dc.identifier.othercnd_017_08_081004.pdf
dc.identifier.urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4284654
dc.description.abstractIn this paper, the parametric resonance of third-order parametric nonlinear system with dynamic friction and fractional damping is investigated using the asymptotic method. The approximately analytical solution for the system is first determined, and the amplitude–frequency equation of the oscillator is established. The stability condition of the resonance solution is then obtained by means of Lyapunov theory. Additionally, the effect of the fractional derivative on the system dynamics is analyzed. The effects of the two parameters of the fractional-order derivative, i.e., the fractional coefficient and the fractional order, on the amplitude–frequency curves are investigated.
dc.publisherThe American Society of Mechanical Engineers (ASME)
dc.titleCalculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping
dc.typeJournal Paper
dc.journal.volume17
dc.journal.issue8
dc.journal.titleJournal of Computational and Nonlinear Dynamics
dc.identifier.doi10.1115/1.4054151
dc.journal.fristpage81004-1
dc.journal.lastpage81004-10
dc.page10
dc.treeJournal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008
dc.contenttypeFulltext


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