Vibrational resonance in a Duffing system with fractional-order external and intrinsic dampings driven by the two-frequency signals | Zendy

Zhang Lu | Zendy; Xie Tian-Ting | Zendy; Maokang Luo | Zendy

Open Access

Vibrational resonance in a Duffing system with fractional-order external and intrinsic dampings driven by the two-frequency signals

Author(s) -

Zhang Lu,

Xie Tian-Ting,

Maokang Luo

Publication year - 2014

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.63.010506

Subject(s) - amplitude , duffing equation , resonance (particle physics) , physics , order (exchange) , function (biology) , fractional calculus , signal (programming language) , vibration , nuclear magnetic resonance , quantum mechanics , computer science , nonlinear system , finance , evolutionary biology , economics , biology , programming language

The phenomenon of vibrational resonance (VR) in a Duffing system with both fractional-order external damping and fractional-order intrinsic damping driven by the two-frequency periodic signals is investigated. It is observed that the resonance amplitude Q can be optimized by an appropriate choice of the amplitude of the high-frequency signal. The obtained relationship between VR and the fractional-orders shows that both fractional-order external damping and fractional-order intrinsic damping can induce changes of the shapes of the effective potential function and then lead to more abundant resonance behaviors than in the traditional dynamic systems.

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