<p>This study examines the vortex-induced vibrations (VIV) and hydrodynamic characteristics of a rotating circular cylinder with two degrees of freedom (2DOF). The effects of varying mass ratios (<i>M</i><sup>*</sup>), rotation rates (<i>α</i>) and reduced velocities (<i>U</i><sup>*</sup>) on the cylinder’s vibration responses, hydrodynamic properties and near-wake structures are explored. The results indicate that the cylinder rotation significantly suppresses vibrations in the cross-flow direction, with the inhibitory effect intensifying with the increasing rotation ratio <i>α</i>. Additionally, contrary to the non-rotating cylinder, in which <i>f</i><Stack> <sub><i>x</i></sub> <sup>*</sup> </Stack> = 2<i>f</i><Stack> <sub><i>y</i></sub> <sup>*</sup> </Stack>, the rotating cylinder shows congruence in vibration frequencies in both the <i>X</i> - and <i>Y</i> - directions. In the motion trajectory, with the non-rotating cylinder exhibiting an “8” pattern, the rotating cylinder traces a single closed-loop shape. The mass ratio notably influences the displacement amplitude, trajectory, and phase portrait. Higher mass ratios (<i>M</i><sup>*</sup> = 6, 8) suppress the growth of time-averaged displacements in both the <i>X</i> - and <i>Y</i> - directions and the incidence of “lock-in” phenomena in the <i>Y</i> direction. Particularly, as <i>M</i><sup>*</sup> = 2, <i>α</i> = 1.0, 1.5, the displacement in the <i>Y</i> - direction is notably higher than that under other conditions. The higher mass ratio also modifies the motion trajectory of the cylinder, shifting it from a closed-loop droplet shape to a single closed loop, with the frequency ratio between lift force and cross-flow displacement transitioning from 3:1 to 1:1. Vortex structure analysis reveals patterns such as “2P”, “P+S”, and “2S”, with high mass ratios showing a U-shaped mode and an extended “2S” region in the wake structure.</p>

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Comprehensive analysis of vortex-induced vibrations and hydrodynamic behavior of a rotating circular cylinder in two degrees of freedom

  • Lin Ding,
  • Guo-yao Yang,
  • Tian Song,
  • Xiang Li,
  • Zhi-chao Shan,
  • Chun-mei Wu

摘要

This study examines the vortex-induced vibrations (VIV) and hydrodynamic characteristics of a rotating circular cylinder with two degrees of freedom (2DOF). The effects of varying mass ratios (M*), rotation rates (α) and reduced velocities (U*) on the cylinder’s vibration responses, hydrodynamic properties and near-wake structures are explored. The results indicate that the cylinder rotation significantly suppresses vibrations in the cross-flow direction, with the inhibitory effect intensifying with the increasing rotation ratio α. Additionally, contrary to the non-rotating cylinder, in which f x * = 2f y * , the rotating cylinder shows congruence in vibration frequencies in both the X - and Y - directions. In the motion trajectory, with the non-rotating cylinder exhibiting an “8” pattern, the rotating cylinder traces a single closed-loop shape. The mass ratio notably influences the displacement amplitude, trajectory, and phase portrait. Higher mass ratios (M* = 6, 8) suppress the growth of time-averaged displacements in both the X - and Y - directions and the incidence of “lock-in” phenomena in the Y direction. Particularly, as M* = 2, α = 1.0, 1.5, the displacement in the Y - direction is notably higher than that under other conditions. The higher mass ratio also modifies the motion trajectory of the cylinder, shifting it from a closed-loop droplet shape to a single closed loop, with the frequency ratio between lift force and cross-flow displacement transitioning from 3:1 to 1:1. Vortex structure analysis reveals patterns such as “2P”, “P+S”, and “2S”, with high mass ratios showing a U-shaped mode and an extended “2S” region in the wake structure.