Advertisement

China Ocean Engineering

, Volume 33, Issue 4, pp 459–467 | Cite as

Modelling of the Vortex-Induced Motion of A Single-Column Platform with Non-Linear Mooring Stiffness Using the Coupled Wake Oscillators

  • Xiao-feng Hu
  • Xin-shu ZhangEmail author
  • Yun-xiang You
  • Jin-long Duan
Article
  • 30 Downloads

Abstract

A phenomenological model for predicting the vortex-induced motion (VIM) of a single-column platform with nonlinear stiffness has been proposed. The VIM model is based on the couple of the Duffing-van der Pol oscillators and the motion equations with non-linear terms. The model with liner stiffness is presented for comparison and their results are compared with the experiments in order to calibrate the model. The computed results show that the predicted VIM amplitudes and periods of oscillation are in qualitative agreements with the experimental data. Compared with the results with linear stiffness, it is found that the application of non-linear stiffness causes the significant reductions in the in-line and transverse motion amplitudes. Under the non-linear stiffness constraint, the lock-in behavior is still identified at 8<Ur<15, and the trajectories of the VIM on the xy plane with eight-figure patterns are maintained. The results with different non-linear geometrically parameters show that both in-line and transverse non-linear characteristics can significantly affect the predict in-line and transverse motion amplitudes. Furthermore, the computed results for different aspect ratios indicate that the in-line and transverse motion amplitudes increase with the growth of aspect ratio, and the range of lock-in region is enlarged for the large aspect ratio.

Key words

vortex-induced motion single-column platform wake oscillators non-linear stiffness 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chen, C.R. and Chen, H.C., 2016. Simulation of vortex-induced motions of a deep draft semi-submersible in current, Ocean Engineering, 118, 107–116.CrossRefGoogle Scholar
  2. Facchinetti, M.L., de Langre, E. and Biolley, F., 2004. Coupling of structure and wake oscillators in vortex-induced vibrations, Journal of Fluids and Structures, 19(2), 123–140.CrossRefGoogle Scholar
  3. Finnigan, T. and Roddier, D., 2007. Spar VIM model tests at supercritical Reynolds numbers, Proceedings of the ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering, Ocean, Offshore and Arctic Engineering Division, San Diego, California, USA.Google Scholar
  4. Fujarra, A.L.C. and Pesce, C.P., 2002. Added mass of elastically mounted rigid cylinder in water subjected to vortex-induced vibrations, Proceedings of the ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering, Ocean, Offshore, and Arctic Engineering Division, Oslo, Norway.Google Scholar
  5. Fujarra, A.L.C., Gonçalves, R.T., Faria, F., Cueva, M., Nishimoto, K. and Siqueira, E.F.N., 2009. Mitigation of vortex-induced motions in a monocolumn platform, Proceedings of the ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering, Ocean, Offshore and Arctic Engineering Division, Honolulu, Hawaii.Google Scholar
  6. Furnes, G.K. and Sørensen, K., 2007. Flow induced vibrations modeled by coupled non-linear oscillators, Proceedings of the 17th International Offshore and Polar Engineering Conference, ISOPE, Lisbon, Portugal.Google Scholar
  7. Gonçalves, R.T., Franzini, G.R., Rosetti, G.F., Meneghini, J.R. and Fujarra, A.L.C., 2015. Flow around circular cylinders with very low aspect ratio, Journal of Fluids and Structures, 54, 122–141.CrossRefGoogle Scholar
  8. Gonçalves, R.T., Fujarra, A.L.C., Rosetti, G.F. and Nishimoto, K., 2010. Mitigation of vortex-induced motion (VIM) on a monocolumn platform: Forces and movements, Journal of Offshore Mechanics and Arctic Engineering, 132(4), 041102.CrossRefGoogle Scholar
  9. Gonçalves, R.T., Fujarra, A.L.C., Rosetti, G.F., Nishimoto, K., Cueva, M. and Siqueira, E.F.N., 2009. Vortex-induced motion of a monocolumn platform: new analysis and comparative study, Proceedings of the ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering, Ocean, Offshore and Arctic Engineering Division, Honolulu, Hawaii, USA.Google Scholar
  10. Gonçalves, R.T., Rosetti, G.F., Fujarra, A.L.C. and Oliveira, A.C., 2012. Experimental study on vortex-induced motions of a semi-submersible platform with four square columns, Part I: Effects of current incidence angle and hull appendages, Ocean Engineering, 54, 150–169.CrossRefGoogle Scholar
  11. Gu, J.Y., Xie, Y.L., Zhang, Y., Li, W.J., Tao, Y.W., and Huang, X.H., 2018. Study on vortex-induced motions of a new type of deep draft multi-columns FDPSO, China Ocean Engineering, 32(1), 1–13.CrossRefGoogle Scholar
  12. Hu, X.F., Zhang, X.S. and You, Y.X., 2019. Experimental studies of the unsteady hydrodynamic loads on a tension-leg platform at high Reynolds numbers, Journal of Fluids and Structures, 87, 263–283.CrossRefGoogle Scholar
  13. Lefevre, C., Constantinides, Y., Kim, J.W., Henneke, M., Gordon, R., Jang, H. and Wu, G.Y., 2013. Guidelines for CFD simulations of Spar VIM, Proceedings of the ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering, Ocean, Offshore and Arctic Engineering Division, Nantes, France.Google Scholar
  14. Rosetti, G.F., Gonçalves, R.T., Fujarra, A.L.C. and Nishimoto, K., 2011. Parametric analysis of a phenomenological model for vortex-induced motions of monocolumn platforms, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 33(2), 139–146.Google Scholar
  15. Rosetti, G.F., Gonçalves, R.T., Fujarra, A.L.C., Nishimoto, K. and Ferreira, M.D., 2009. A phenomenological model for vortex-induced motions of the monocolumn platform and comparison with experiments,Proceedings of the ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering, Ocean, Offshore and Arctic Engineering Division, Hawaii, USA.Google Scholar
  16. Sarpkaya, T., 1987. Fluid forces on oscillating cylinders, Journal of the Waterway, Port, Coastal and Ocean Division, 104(3), 275–290.Google Scholar
  17. Schewe, G., 1983. On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers, Journal of Fluid Mechanics, 133, 265–285.CrossRefGoogle Scholar
  18. Srinil, N. and Zanganeh, H., 2012. Modelling of coupled crossflow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators, Ocean Engineering, 53, 83–97.CrossRefGoogle Scholar
  19. Stappenbelt, B. and Thiagarajan, K., 2004. Vortex-Induced vibration of catenary moored cylindrical structures, Proceedings of the ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering, Ocean, Offshore, and Arctic Engineering Division, Vancouver, British Columbia, Canada.Google Scholar
  20. Stappenbelt, B., 2011. Vortex-induced motion of nonlinear compliant low aspect ratio cylindrical systems, International Journal of Offshore and Polar Engineering, 21(4), 280–286.Google Scholar
  21. van Dijk, R.R.T., Voogt, A., Fourchy, P. and Mirza, S., 2003. The effect of mooring system and sheared currents on vortex induced motions of truss spars, Proceedings of the ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering, Ocean, Offshore, and Arctic Engineering Division, Cancun, Mexico.Google Scholar
  22. Vandiver, J.K., 1983. Drag coefficients of long flexible cylinders, Proceedings of Offshore Technology Conference, OTC, Houston, TX, USA.Google Scholar
  23. Zhang, X.S., Hu, X.F., Song, X.Y. and You Y.X., 2017. Numerical studies on vortex-induced motions of a multi-column deep-draft oil and gas exploration platform, Ocean Engineering, 145, 77–94.CrossRefGoogle Scholar

Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Xiao-feng Hu
    • 1
    • 2
  • Xin-shu Zhang
    • 1
    • 2
    Email author
  • Yun-xiang You
    • 1
    • 2
  • Jin-long Duan
    • 1
    • 2
  1. 1.State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiChina

Personalised recommendations