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Parametric vibrational resonance in a gyroscope driven by dual-frequency forces

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Parametric vibrational resonance in a gyroscope driven by dual-frequency forces. / Oyeleke, K. S. ; Olusola, O.I.; Vincent, Uchechukwu E. et al.
In: Physics Letters A, Vol. 387, 127040, 28.01.2021.

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Oyeleke KS, Olusola OI, Vincent UE, Ghosh D, McClintock PVE. Parametric vibrational resonance in a gyroscope driven by dual-frequency forces. Physics Letters A. 2021 Jan 28;387:127040. doi: 10.1016/j.physleta.2020.127040

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Oyeleke, K. S. ; Olusola, O.I. ; Vincent, Uchechukwu E. et al. / Parametric vibrational resonance in a gyroscope driven by dual-frequency forces. In: Physics Letters A. 2021 ; Vol. 387.

Bibtex

@article{dd0636f88e6446a491d9d188a81eca90,
title = "Parametric vibrational resonance in a gyroscope driven by dual-frequency forces",
abstract = "We examine and analyze vibrational resonance (VR) in a dual-frequency-driven gyroscope subject to a parametric excitation and an additive periodic forces. The method of direct separation of the fast and slow motions is used to derive the response amplitude analytically from the equation for slow oscillations of the system, in terms of the parameters of the high-frequency signal and the parametric excitation. Numerical simulations are carried out to validate the theoretical results. It is further shown that, when the parametric excitation and additive periodic force consist of low and high frequencies, respectively, a much higher response amplitude can occur. It is about three times larger than the response obtained when the forcing actions are reversed and is attributable to the optimization of low-frequency parametric excitation by the high-frequency additive signal.",
author = "Oyeleke, {K. S.} and O.I. Olusola and Vincent, {Uchechukwu E.} and Dibakar Ghosh and McClintock, {Peter V. E.}",
year = "2021",
month = jan,
day = "28",
doi = "10.1016/j.physleta.2020.127040",
language = "English",
volume = "387",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Parametric vibrational resonance in a gyroscope driven by dual-frequency forces

AU - Oyeleke, K. S.

AU - Olusola, O.I.

AU - Vincent, Uchechukwu E.

AU - Ghosh, Dibakar

AU - McClintock, Peter V. E.

PY - 2021/1/28

Y1 - 2021/1/28

N2 - We examine and analyze vibrational resonance (VR) in a dual-frequency-driven gyroscope subject to a parametric excitation and an additive periodic forces. The method of direct separation of the fast and slow motions is used to derive the response amplitude analytically from the equation for slow oscillations of the system, in terms of the parameters of the high-frequency signal and the parametric excitation. Numerical simulations are carried out to validate the theoretical results. It is further shown that, when the parametric excitation and additive periodic force consist of low and high frequencies, respectively, a much higher response amplitude can occur. It is about three times larger than the response obtained when the forcing actions are reversed and is attributable to the optimization of low-frequency parametric excitation by the high-frequency additive signal.

AB - We examine and analyze vibrational resonance (VR) in a dual-frequency-driven gyroscope subject to a parametric excitation and an additive periodic forces. The method of direct separation of the fast and slow motions is used to derive the response amplitude analytically from the equation for slow oscillations of the system, in terms of the parameters of the high-frequency signal and the parametric excitation. Numerical simulations are carried out to validate the theoretical results. It is further shown that, when the parametric excitation and additive periodic force consist of low and high frequencies, respectively, a much higher response amplitude can occur. It is about three times larger than the response obtained when the forcing actions are reversed and is attributable to the optimization of low-frequency parametric excitation by the high-frequency additive signal.

U2 - 10.1016/j.physleta.2020.127040

DO - 10.1016/j.physleta.2020.127040

M3 - Journal article

VL - 387

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

M1 - 127040

ER -