Abstract
A new wake oscillator model is established to predict the structural response characteristics of vortex induced vibration (VIV) in two degrees of freedom. Based on the two-dimensional potential flow approach, the streamwise and transverse fluctuating fluid forces acting on structure are simplified and quantified. The work–energy balanced between the fluid and the structure leads to establish the coupled dynamic model by introducing a displacement variable related to the strength of nascent vortex. Analysis and prediction of the amplitudes, frequencies and phase angles of x–y motions of a rigid 2-D circular cylinder, along with a comparison to the existing experimental results, show that the numerical solutions of the present model can qualitatively and quantitatively capture the important features of VIV. Moreover, the x–y trajectory displays a crescent shape at cross-flow approaching peak amplitude. The reduced-order model also used in predicting VIV response of a 3-D top tensioned riser undergoing a stepped current is presented. The simulation results highlight the combination of standing wave and traveling wave occurring in structure vibration. The trajectories exhibit various patterns of figure-of-eight orbital motions and phase angles between the in-line and cross-flow motion change more rapidly in the standing wave region.
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