Final published version, 5.7 MB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -