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

21 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.
Original 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

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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