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该文对雷诺数Re=100条件下两向自由单圆柱涡激振动进行了数值模拟,圆柱质量比为m*=2.0和m*=10.0,折合流速为U_r=2.0–10.0。研究发现,由于附加质量的影响显著,质量比m*=2.0工况的振动响应在折合流速U_r=3.8(有拍振)到U_r=3.9(无拍振)之间出现了明显的振幅最大值不连续现象,而质量比m*=10.0工况则没有出现。圆柱升力和位移之间的相位在下端分支的中部存在一个接近180°的跳跃,应用小波变换对圆柱升力的频谱研究发现,在相位跳跃前,升力的基频分量占主导;而相位跳跃后,升力的3倍频分量占主导,此时圆柱升力和位移的卓越频率不在相同,最终导致圆柱升力和位移之间相位差的跳跃。
This paper simulates the vortex-induced vibration of two-way free single-cylinder under the Reynolds number Re = 100. The cylinder mass ratio is m * = 2.0 and m * = 10.0, and the equivalent velocity is U_r = 2.0-10.0. The results show that the vibration response of the mass ratio m * = 2.0 shows a significant amplitude maximum at the equivalent flow rate of U_r = 3.8 (beat beat) to U_r = 3.9 (no beat beat) due to the significant influence of the additional mass. Discontinuous phenomenon, while the quality ratio m * = 10.0 conditions did not appear. The phase between the cylinder lift and displacement has a jump near 180 ° in the middle of the lower branch. The spectral study on the lift of the cylinder using wavelet transform shows that before the phase jump, the fundamental frequency component of the lift dominates; and after the phase jump, The third harmonic component of lift is dominant, and the superior frequency of column lift and displacement is not the same at this time, eventually leading to a jump in the phase difference between lift and displacement of the cylinder.