Vortex induced vibration (VIV) is of practical interest since it can result in the fatigue damage of structures, so has been a highly researched topic during the past few decades. The present study employs the unsteady Reynolds-Averaged-Navier–Stokes (URANS) equations combined with the shear-stress transport (SST) k-ω turbulence model to carry out the numerical simulation of the two-degree-of-freedom (2DOF) VIV at Reynolds number of O(10⁴∼10⁵). The present numerical method is validated through the comparison of the numerically and experimentally obtained response amplitude, lock-in frequency and hydrodynamic force, and the obtained vortex shedding modes are demonstrated. Based on the numerical model, this study parametrically investigates the effect of the Reynolds number, mass-damping ratio on the 2DOF VIV. The results indicate that the changes of the Reynolds number in the range of 10⁴∼10⁵ seem to have little effect on the VIV, and the maximum non-dimensional amplitude of the cross-flow (CF) VIV keeps close to 1.5. The in-line (IL) VIV is more sensitive to the Reynolds number than CF VIV. Additionally, with the increase of the mass-damping ratio, the peak of the CF non-dimensional amplitude in 2DOF VIV decreases, and its difference with that in 1DOF VIV decreases.

涡激振动 (VIV) 具有实际意义，因为它会导致结构疲劳损坏，因此在过去的几十年中一直是一个高度研究的课题。本研究采用非定常雷诺-平均-纳维-斯托克斯 (URANS) 方程结合剪应力输运 (SST) k - ω湍流模型进行二自由度 (2DOF) 的数值模拟VIV 在O 的雷诺数(10 ⁴ ∼10 ⁵）。通过比较数值和实验获得的响应幅度、锁定频率和水动力，验证了当前的数值方法，并证明了获得的涡旋脱落模式。本研究基于数值模型，参数化地研究了雷诺数、质量阻尼比对 2DOF VIV 的影响。结果表明，雷诺数在 10 ⁴ ∼10 ⁵范围内的变化似乎对 VIV 影响不大，横流（CF）VIV 的最大无量纲幅度保持接近 1.5。在线 (IL) VIV 对雷诺数比 CF VIV 更敏感。此外，随着质量阻尼比的增加，2DOF VIV中CF无量纲振幅的峰值减小，其与1DOF VIV中的差异减小。