<p>This study presents a model incorporating structure and wake oscillators to predict coupled in-line and cross-flow vortex-induced vibration (VIV) of a near-wall cylinder capable of wall collision. To evaluate wall proximity effects, the model employs hydrodynamic parameters, including vortex shedding frequency and time-varying/time-averaged lift/drag coefficients, in relation to the Reynolds number, boundary layer thickness, and cylinder-wall gap. While the general VIV model effectively predicts wall proximity effects, it proves inadequate for collision prediction. Through analysis and comparison of three impact models, the study determines that resetting cross-flow velocity after collision using a restitution coefficient of 1, assuming elastic impact, optimally predicts collision while preventing penetration. The validated VIV model accurately reflects wall effects and collision impacts on vibrations. Collisions manifest in both streamwise-transverse 1:1 and 2:1 resonance, as well as multi-frequency vibrations in pre- and de-synchronization regimes, introducing additional nonlinear characteristics. Quasi-symmetric tips appear in lower sections of irregular trajectories due to elastic impact assumptions and subsequent fluid-structure interaction. The research reveals that small gaps and collision can independently or jointly induce oval trajectories, indicating reduced vortex shedding from the wall-side of the cylinder. Additionally, increased mass and damping ratios diminish vibrations and collision regions. With continued research to enhance accuracy and practicability, this model shows potential application to submarine pipelines with multi-spans and internal multiphase flow.</p>

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Prediction of Coupled In-Line and Cross-Flow Vortex-Induced Vibration of a Near-Wall Cylinder with Physical Impact

  • Meng-meng Tao,
  • Xu Sun,
  • Pei-yi Han

摘要

This study presents a model incorporating structure and wake oscillators to predict coupled in-line and cross-flow vortex-induced vibration (VIV) of a near-wall cylinder capable of wall collision. To evaluate wall proximity effects, the model employs hydrodynamic parameters, including vortex shedding frequency and time-varying/time-averaged lift/drag coefficients, in relation to the Reynolds number, boundary layer thickness, and cylinder-wall gap. While the general VIV model effectively predicts wall proximity effects, it proves inadequate for collision prediction. Through analysis and comparison of three impact models, the study determines that resetting cross-flow velocity after collision using a restitution coefficient of 1, assuming elastic impact, optimally predicts collision while preventing penetration. The validated VIV model accurately reflects wall effects and collision impacts on vibrations. Collisions manifest in both streamwise-transverse 1:1 and 2:1 resonance, as well as multi-frequency vibrations in pre- and de-synchronization regimes, introducing additional nonlinear characteristics. Quasi-symmetric tips appear in lower sections of irregular trajectories due to elastic impact assumptions and subsequent fluid-structure interaction. The research reveals that small gaps and collision can independently or jointly induce oval trajectories, indicating reduced vortex shedding from the wall-side of the cylinder. Additionally, increased mass and damping ratios diminish vibrations and collision regions. With continued research to enhance accuracy and practicability, this model shows potential application to submarine pipelines with multi-spans and internal multiphase flow.