Vortex-induced vibration prediction via an impedance criterion.

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Title: Vortex-induced vibration prediction via an impedance criterion.
Authors: Sabino, D.1 (AUTHOR) diogo.ferreirasabino@imft.fr, Fabre, D.1 (AUTHOR), Leontini, J. S.2 (AUTHOR), Jacono, D. Lo1 (AUTHOR)
Source: Journal of Fluid Mechanics. 5/10/2020, Vol. 890, p1-22. 22p. 1 Diagram, 9 Graphs.
Abstract: The vortex-induced vibration of a spring-mounted, damped, rigid circular cylinder, immersed in a Newtonian viscous flow and capable of moving in the direction orthogonal to the unperturbed flow is investigated for Reynolds numbers Re in the vicinity of the onset of unsteadiness (15≤Re≤60) using the incompressible linearised Navier–Stokes equations. In a first step, we solve the linear problem considering an imposed harmonic motion of the cylinder. Results are interpreted in terms of the mechanical impedance, i.e. the ratio between the vertical force coefficient and the cylinder velocity, which is represented as function of the Reynolds number and the driving frequency. Considering the energy transfer between the cylinder and the fluid, we show that impedance results provide a simple criterion allowing the prediction of the onset of instability of the coupled fluid-elastic structure case. A global stability analysis of the fully coupled fluid/cylinder system is then performed. The instability thresholds obtained by this second approach are found to be in perfect agreement with the predictions of the impedance-based criterion. A theoretical argument, based on asymptotic developments, is then provided to give a prediction of eigenvalues of the coupled problem, as well as to characterise the region of instability beyond the threshold as function of the reduced velocity U∗ , the dimensionless mass m∗ and the Reynolds number. The influence of the damping parameter γ on the instability region is also explored. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="AR" term="%22Sabino%2C+D%2E%22">Sabino, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> diogo.ferreirasabino@imft.fr</i><br /><searchLink fieldCode="AR" term="%22Fabre%2C+D%2E%22">Fabre, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Leontini%2C+J%2E+S%2E%22">Leontini, J. S.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jacono%2C+D%2E+Lo%22">Jacono, D. Lo</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 5/10/2020, Vol. 890, p1-22. 22p. 1 Diagram, 9 Graphs.
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The vortex-induced vibration of a spring-mounted, damped, rigid circular cylinder, immersed in a Newtonian viscous flow and capable of moving in the direction orthogonal to the unperturbed flow is investigated for Reynolds numbers Re in the vicinity of the onset of unsteadiness (15≤Re≤60) using the incompressible linearised Navier–Stokes equations. In a first step, we solve the linear problem considering an imposed harmonic motion of the cylinder. Results are interpreted in terms of the mechanical impedance, i.e. the ratio between the vertical force coefficient and the cylinder velocity, which is represented as function of the Reynolds number and the driving frequency. Considering the energy transfer between the cylinder and the fluid, we show that impedance results provide a simple criterion allowing the prediction of the onset of instability of the coupled fluid-elastic structure case. A global stability analysis of the fully coupled fluid/cylinder system is then performed. The instability thresholds obtained by this second approach are found to be in perfect agreement with the predictions of the impedance-based criterion. A theoretical argument, based on asymptotic developments, is then provided to give a prediction of eigenvalues of the coupled problem, as well as to characterise the region of instability beyond the threshold as function of the reduced velocity U∗ , the dimensionless mass m∗ and the Reynolds number. The influence of the damping parameter γ on the instability region is also explored. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1017/jfm.2020.104
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      – Code: eng
        Text: English
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        PageCount: 22
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      – TitleFull: Vortex-induced vibration prediction via an impedance criterion.
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            NameFull: Sabino, D.
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            NameFull: Fabre, D.
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            NameFull: Leontini, J. S.
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            NameFull: Jacono, D. Lo
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            – D: 10
              M: 05
              Text: 5/10/2020
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              Y: 2020
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              Value: 890
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