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contributor authorVan Khang, Nguyen
contributor authorThuy, Bui Thi
contributor authorChung, Phạm Thanh
date accessioned2022-05-08T09:02:11Z
date available2022-05-08T09:02:11Z
date copyright4/12/2022 12:00:00 AM
date issued2022
identifier issn1555-1415
identifier othercnd_017_08_081004.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4284654
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.
publisherThe American Society of Mechanical Engineers (ASME)
titleCalculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping
typeJournal Paper
journal volume17
journal issue8
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4054151
journal fristpage81004-1
journal lastpage81004-10
page10
treeJournal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008
contenttypeFulltext


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