International Journal of Naval Architecture and Ocean Engineering

The Society of Naval Architects of Korea (대한조선학회)
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Vortex-induced vibration characteristics of multi-mode and spanwise waveform about flexible pipe subject to shear flow

  • Bao, Jian (Department of Naval Architecture and Ocean Engineering, Zhejiang Ocean University) ;
  • Chen, Zheng-Shou (Department of Naval Architecture and Ocean Engineering, Zhejiang Ocean University)
  • Received : 2020.07.08
  • Accepted : 2021.02.18
  • Published : 2021.11.30
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Abstract

Numerical simulations of the Vortex-Induced Vibration (VIV) about a large-scale flexible pipe subject to shear flow were carried out in this paper. Efficiency verification was performed firstly, validating that the proposed fluid-structure interaction solution strategy is competent in predicting the VIV response. Then, the VIV characteristics related to multi-mode and spanwise hybrid waveform about the flexible pipe attributed to shear flow were investigated. When inflow velocity rises, higher vibration modes are apt to be excited, and the spanwise waveform easily convertes from a standing-wave-dominated status to a hybrid standing-traveling wave status. The multi-mode or even multiple-dominant-mode is prone to occur, that is, the dominant mode is often followed by several apparent subordinate modes with considerable vibration energy. Hence, the shedding frequencies no longer obey Strouhal law, and vibration trajectories become intricate. According to the motion analysis concerning the coupled cross-flow and in-line vibrations, as well as the corresponding wake patterns, a tight coupling interaction exists between the structural deformation and the wake flow behind the flexible pipe. In addition, the evolution of the vortex tube along the pipe span and a strong 3D effect are observed due to the slenderness of the flexible pipe and the variability of the vortex shedding attributed to the shear flow.

Keywords

Acknowledgement

This work was supported by the National Natural Science Foundation of China (41776105), the Zhejiang Provincial Natural Science Foundation of China (LY20E090003), the Zhoushan science and technology program (2019C21010, 2018C12050).

References

  1. Boer, A.d., Schoot, M., Bijl, H., 2007. Mesh deformation based on radial basis function interpolation. Comput. Struct. 85, 784-795. https://doi.org/10.1016/j.compstruc.2007.01.013
  2. Bearman, P.W., 1984. Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16 (1), 195-222. https://doi.org/10.1146/annurev.fl.16.010184.001211
  3. Chen, Z.S., Kim, W.J., 2010. Numerical investigation of vortex shedding and vortex-induced vibration for flexible riser models. Int. J. Nav. Arch. Ocean Eng. 2, 112-118. https://doi.org/10.3744/JNAOE.2010.2.2.112
  4. Chen, Z.S., Kim, W.J., 2012. Effect of bidirectional internal flow on fluidestructure interaction dynamics of conveying marine riser model subject to shear current. Int. J. Nav. Arch. Ocean Eng. 4, 57-70. https://doi.org/10.3744/JNAOE.2012.4.1.057
  5. Chen, Z.S., Rhee, S.H., 2019a. Effect of traveling wave on the vortex-induced vibration of a long flexible pipe. Appl. Ocean Res. 84, 122-132. https://doi.org/10.1016/j.apor.2018.12.011
  6. Chen, Z.S., Rhee, S.H., 2019b. Instantaneous multi-mode identification and analysis of vortex-induced vibration via a mode decomposition method. Appl. Ocean Res. 93, 101962. https://doi.org/10.1016/j.apor.2019.101962
  7. Chen, Z.S., Rhee, S.H., Liu, G.L., 2019. Empirical mode decomposition based on Fourier transform and band-pass filter. Int. J. Nav. Arch. Ocean Eng. 11, 939-951. https://doi.org/10.1016/j.ijnaoe.2019.04.004
  8. Dahl, J.M., Hover, F.S., Triantafyllou, M.S., Dong, S., Karniadakis, G.E., 2007. Resonant vibrations of bluff bodies cause multivortex shedding and high frequency forces. Phys. Rev. Lett. 99, 144503. https://doi.org/10.1103/PhysRevLett.99.144503
  9. Duanmu, Y., Zou, L., Wan, D.C., 2018. Numerical analysis of multi-modal vibrations of a vertical riser in step currents. Ocean. Eng. 152, 428-442. https://doi.org/10.1016/j.oceaneng.2017.12.033
  10. Feng, C.C., 1968. The Measurement of Vortex Induced Effects in Flow Past Stationary and Oscillating Circular and D-Section Cylinders. University of British Columbia, Vancouver, B. C. (Canada, University of British Columbia, Vancouver, B. C., Canada).
  11. Gao, Y., Zong, Z., Zou, L., Takagi, S., 2018. Vortex-induced vibrations and waves of a long circular cylinder predicted using a wake oscillator model. Ocean. Eng. 156, 294-305. https://doi.org/10.1016/j.oceaneng.2018.03.034
  12. Gao, Y.Y., Yang, K., Ren, X.Y., Zhang, B.F., Tan, S.K., 2018. Flow behavior behind a clockwise-and- counterclockwise rotational oscillating cylinder. Ocean. Eng. 159, 410-421. https://doi.org/10.1016/j.oceaneng.2018.04.053
  13. Ge, F., Long, X., Wang, L., Hong, Y.S., 2009. Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators. Sci. China Phys. Mech. Astron. 52, 1086-1093. https://doi.org/10.1007/s11433-009-0128-8
  14. Jasak, H., 2009. Dynamic mesh handling in OpenFOAM. 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, p. 341.
  15. Jauvtis, N., Williamson, C.H.K., 2004. The effect of two degrees of freedom on vortex-induced vibration at low mass and damping. J. Fluid Mech. 509, 23-62. https://doi.org/10.1017/S0022112004008778
  16. Lehn, E., 2003. VIV Suppression Tests on High L/D Flexible Cylinders. Norwegian Marine Technology Research Institute, Trondheim, Norway.
  17. Lie, H., Kaasen, K.E., 2006. Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow. J. Fluid Struct. 22, 557-575. https://doi.org/10.1016/j.jfluidstructs.2006.01.002
  18. Liu, F.S., Li, H.J., Lu, H.C., 2016a. Weak-mode identification and time-series reconstruction from high-level noisy measured data of offshore structures. Appl. Ocean Res. 56, 92-106. https://doi.org/10.1016/j.apor.2016.01.001
  19. Liu, F.S., Lu, H.C., Li, H.J., 2016b. Dynamic analysis of offshore structures with nonzero initial conditions in the frequency domain. J. Sound Vib. 366, 309-324. https://doi.org/10.1016/j.jsv.2015.12.021
  20. Newman, D.J., Karniadakis, G.E., 1997. A direct numerical simulation study of flow past a freely vibrating cable. J. Fluid Mech. 344, 95-136. https://doi.org/10.1017/S002211209700582X
  21. Pang, J., Zhu, B., Zong, Z., 2019. A numerical simulation model for the vortex induced vibration of flexible risers using dynamic stiffness matrices. Ocean. Eng. 178, 306-320. https://doi.org/10.1016/j.oceaneng.2019.03.007
  22. Peric, M., Ferguson, S., 2005. The advantage of polyhedral meshes. Dynamics 24, 45.
  23. Rendall, T., Allen, C., 2008. Unified fluid-structure interpolation and mesh motion using radial basis functions. Int. J. Numer. Methods Eng. 74, 1519-1559. https://doi.org/10.1002/nme.2219
  24. Siemens, P., 2018. Simcenter STAR-CCM+ user guide V13. 04. Siemens PLM.
  25. Vandiver, J.K., Jaiswal, V., Jhingran, V., 2009. Insights on vortex-induced, traveling waves on long risers. J. Fluid Struct. 25, 641-653. https://doi.org/10.1016/j.jfluidstructs.2008.11.005
  26. Vandiver, J.K., Li, L., 2005. Shear7 V4. 4 Program Theoretical Manual. Department of Ocean Engineering, Massachusetts Institute of Technology.
  27. Wang, W., Song, B.W., Mao, Z.Y., Tian, W.L., Zhang, T.Y., 2019. Numerical investigation on VIV suppression of marine riser with triangle groove strips attached on its surface. Int. J. Nav. Arch. Ocean Eng. 11, 875-882. https://doi.org/10.1016/j.ijnaoe.2019.03.003
  28. Zhao, M., Cui, Z.D., Kwok, K., Zhang, Y., 2016. Wake-induced vibration of a small cylinder in the wake of a large cylinder. Ocean. Eng. 113, 75-89. https://doi.org/10.1016/j.oceaneng.2015.12.032
  29. Zhao, M., Kaja, K., Xiang, Y., Yan, G.R., 2013. Vortex-induced vibration (VIV) of a circular cylinder in combined steady and oscillatory flow. Ocean. Eng. 73, 83-95. https://doi.org/10.1016/j.oceaneng.2013.08.006

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