Characterization of variable hydrodynamic coefficients and maximum responses in two-dimensional vortex-induced vibrations with dual resonances

Hossein Zanganeh, Narakorn Srinil

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

A phenomenological model and analytical-numerical approach to systematically characterize variable hydrodynamic coefficients and maximum achievable responses in two-dimensional vortex-induced vibrations with dual two-to-one resonances are presented. The model is based on double Duffing and van der Pol oscillators which simulate a flexibly-mounted circular cylinder subjected to uniform flow and oscillating in simultaneous cross-flow/in-line directions. Depending on system quadratic and cubic nonlinearities, amplitudes, oscillation frequencies and phase relationships, analytical closed-form expressions are derived to parametrically evaluate key hydrodynamic coefficients governing the fluid excitation, inertia and added mass force components, as well as maximum dual-resonant responses. The amplification of the mean drag is ascertained. Qualitative validations of numerical predictions with experimental comparisons are discussed. Parametric investigations are performed to highlight the important effects of system nonlinearities, mass, damping and natural frequency ratios.
LanguageEnglish
Article number051010
Number of pages15
JournalJournal of Vibration and Acoustics
Volume136
Issue number5
Early online date25 Jul 2014
DOIs
Publication statusPublished - 1 Oct 2014

Fingerprint

hydrodynamic coefficients
Vibrations (mechanical)
Vortex flow
Hydrodynamics
vortices
vibration
Circular cylinders
Amplification
Drag
Natural frequencies
Damping
nonlinearity
uniform flow
Fluids
cross flow
circular cylinders
inertia
drag
resonant frequencies
damping

Keywords

  • vortex induced vibration
  • cross flow
  • inertia
  • oscillations
  • drag
  • damping
  • circular cylinder
  • phenomenological model
  • analytical–numerical approach
  • variable hydrodynamic coefficients
  • two-dimensional vortex-induced vibrations
  • dual two-to-one resonances
  • double duffing
  • van der pol oscillators

Cite this

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title = "Characterization of variable hydrodynamic coefficients and maximum responses in two-dimensional vortex-induced vibrations with dual resonances",
abstract = "A phenomenological model and analytical-numerical approach to systematically characterize variable hydrodynamic coefficients and maximum achievable responses in two-dimensional vortex-induced vibrations with dual two-to-one resonances are presented. The model is based on double Duffing and van der Pol oscillators which simulate a flexibly-mounted circular cylinder subjected to uniform flow and oscillating in simultaneous cross-flow/in-line directions. Depending on system quadratic and cubic nonlinearities, amplitudes, oscillation frequencies and phase relationships, analytical closed-form expressions are derived to parametrically evaluate key hydrodynamic coefficients governing the fluid excitation, inertia and added mass force components, as well as maximum dual-resonant responses. The amplification of the mean drag is ascertained. Qualitative validations of numerical predictions with experimental comparisons are discussed. Parametric investigations are performed to highlight the important effects of system nonlinearities, mass, damping and natural frequency ratios.",
keywords = "vortex induced vibration, cross flow, inertia, oscillations, drag, damping, circular cylinder, phenomenological model , analytical–numerical approach, variable hydrodynamic coefficients, two-dimensional vortex-induced vibrations, dual two-to-one resonances, double duffing , van der pol oscillators",
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Characterization of variable hydrodynamic coefficients and maximum responses in two-dimensional vortex-induced vibrations with dual resonances. / Zanganeh, Hossein; Srinil, Narakorn.

In: Journal of Vibration and Acoustics, Vol. 136, No. 5, 051010, 01.10.2014.

Research output: Contribution to journalArticle

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AU - Srinil, Narakorn

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AB - A phenomenological model and analytical-numerical approach to systematically characterize variable hydrodynamic coefficients and maximum achievable responses in two-dimensional vortex-induced vibrations with dual two-to-one resonances are presented. The model is based on double Duffing and van der Pol oscillators which simulate a flexibly-mounted circular cylinder subjected to uniform flow and oscillating in simultaneous cross-flow/in-line directions. Depending on system quadratic and cubic nonlinearities, amplitudes, oscillation frequencies and phase relationships, analytical closed-form expressions are derived to parametrically evaluate key hydrodynamic coefficients governing the fluid excitation, inertia and added mass force components, as well as maximum dual-resonant responses. The amplification of the mean drag is ascertained. Qualitative validations of numerical predictions with experimental comparisons are discussed. Parametric investigations are performed to highlight the important effects of system nonlinearities, mass, damping and natural frequency ratios.

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KW - variable hydrodynamic coefficients

KW - two-dimensional vortex-induced vibrations

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KW - van der pol oscillators

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