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contributor authorYang, J. H.
contributor authorSanjuán, Miguel A. F.
contributor authorLiu, H. G.
date accessioned2017-11-25T07:20:25Z
date available2017-11-25T07:20:25Z
date copyright2017/4/5
date issued2017
identifier issn1555-1415
identifier othercnd_012_05_051011.pdf
identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236442
description abstractWhen the traditional vibrational resonance (VR) occurs in a nonlinear system, a weak character signal is enhanced by an appropriate high-frequency auxiliary signal. Here, for the harmonic character signal case, the frequency of the character signal is usually smaller than 1 rad/s. The frequency of the auxiliary signal is dozens of times of the frequency of the character signal. Moreover, in the real world, the characteristic information is usually indicated by a weak signal with a frequency in the range from several to thousands rad/s. For this case, the weak high-frequency signal cannot be enhanced by the traditional mechanism of VR, and as such, the application of VR in the engineering field could be restricted. In this work, by introducing a scale transformation, we transform high-frequency excitations in the original system to low-frequency excitations in a rescaled system. Then, we make VR to occur at the low frequency in the rescaled system, as usual. Meanwhile, the VR also occurs at the frequency of the character signal in the original system. As a result, the weak character signal with arbitrary high-frequency can be enhanced. To make the rescaled system in a general form, the VR is investigated in fractional-order Duffing oscillators. The form of the potential function, the fractional order, and the reduction scale are important factors for the strength of VR.
publisherThe American Society of Mechanical Engineers (ASME)
titleEnhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators
typeJournal Paper
journal volume12
journal issue5
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4036479
journal fristpage51011
journal lastpage051011-9
treeJournal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005
contenttypeFulltext


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