Abstract:
The vortex-induced vibration (VIV) response characteristics of a flexible cantilever pipe with a concentrated mass block at the end are numerically investigated based on the wake oscillator model under three different flow profiles: linear shear flow, exponential shear flow, and real stepped flow profile. First, a coupling model between the structural oscillator of the flexible cantilever pipe and the wake oscillator is established. Then, the coupling model is discretized using the second-order central difference scheme and solved iteratively. Finally, the vibration displacement, vibration frequency, and other response characteristics of the structure are systematically analyzed under the three different flow profiles. The numerical results indicate that the vortex-induced vibration (VIV) response characteristics of a flexible cantilevered pipe exhibit significant variations under different flow profiles. Under linear shear flow and exponential shear flow, the maximum displacement response of the flexible cantilevered pipe occurs at the free end, whereas under the real stepped flow profile, the maximum displacement response does not appear at the pipe’s free end. The dominant modal order of structural vibration remains nearly identical across all three flow profiles. In the case of linear shear flow, the VIV frequency energy distribution is highly concentrated, presenting a “clustered peak” pattern with quasi-periodic characteristics. Conversely, under exponential shear flow and real stepped flow, the VIV frequency energy distribution becomes more dispersed, exhibiting a broadband spectrum and chaotic vibration behavior.