A shell-dynamics model for marine pipelines of large suspended length

  • Received : 2013.10.25
  • Accepted : 2015.12.02
  • Published : 2015.12.25


The present investigations introduce the shell-finite element discretization for the dynamics of slender marine pipelines. A long catenary pipeline, corresponding to a particular Steel Catenary Riser (SCR), is investigated under long-standing cyclic loading. The long structure is divided into smaller tubular parts which are discretized with 8-node planar shell elements. The transient analysis of each part is carried out by the implicit time integration scheme, within a Finite Elements (FE) solver. The time varying external loads and boundary conditions on each part are the results of a prior solution of an integrated line-dynamics model. The celebrated FE approximation can produce a more detailed stress distribution along the structural surface than the simplistic "line-dynamics" approach.


offshore applications;SCR;sagbend;nonlinear dynamics;planar shells


  1. American Petroleum Institute (1998), Design of risers for floating production systems (FPSs) and tension leg platforms (TLPs). API-RP-2RD.
  2. ANSYS Mechanical APDL (2007), Theory Reference Manual. ANSYS Inc.
  3. Arabzadeh, H. and Zeinoddini, M. (2011), "Dynamic response of pressurized submarine pipelines subjected to transverse impact loads", Procedia Eng., 14, 648-655.
  4. Bathe, K.J. (1979), Finite element formulation, modeling and solution of nonlinear dynamic problems, Chapter in Numerical Methods for Partial Differential Equations (Ed., S.W. Parter), Academic Press.
  5. Bathe, K.J. and Dvorkin, E. (1986), "A formulation of general shell-elements. The use of mixed interpolation of tensorial components", Int. J. Numer. Meth. Eng., 22, 697-722.
  6. Bathe, K.J. (1996), Finite element procedures in engineering analysis, Prentice-Hall Inc.
  7. Chai, Y.T., Varyani, K.S. and Barltrop, N.D.P. (2002), "Three-dimensional lump-mass formulation of a catenary riser with bending, torsion and irregular seabed interaction effect", Ocean Eng., 29(12), 1503-1525.
  8. Chatjigeorgiou, I.K. (2010a), "Three dimensional nonlinear dynamics of submerged, extensible catenary pipes conveying fluid and subjected to end-imposed excitations", Int. J. Nonlinear Mech., 45(7), 667-680.
  9. Chatjigeorgiou, I.K. (2010b), "On the effect of internal flow on vibrating catenary risers in three dimensions", Eng. Struct., 32(10), 3313-3329.
  10. Chatjigeorgiou, I.K. (2013), "Numerical simulation of the chaotic lateral vibrations of long rotating beams", Appl. Math. Comput., 219(10), 5592-5612.
  11. Eom, T.S., Kim, M.H., Bae, Y.H. and Cifuentes, C. (2014), "Local dynamic buckling of FPSO steel catenary riser by coupled time-domain simulations", Ocean Syst. Eng., 4(3), 215-241. DOI: 10.12989/ose.2014.4.3.215, 215-241.
  12. Estefen, S.F., Moan, T., Saevik, S. and Zimmer, R.A. (1995), "Limit state formulations for TLP tendon and steel riser bodies", J. Constr. Steel Res., 32(1), 107-121.
  13. Hildebrand, F.B. (1976), Advanced Calculus for Applications (2nd Ed.), Prentice-Hall Inc., Englewood Cliffs, New Jersey.
  14. Hoffman, J.D. (1993), Numerical methods for engineers and scientists, McGraw-Hill, New York.
  15. Hosseini Kordkheili, S.A. and Bahai, H. (2008), "Non-linear finite element analysis of flexible risers in presence of buoyancy force and seabed interaction boundary condition", Arch. Appl. Mech., 78(10), 765-774.
  16. Howells, H. (1999), FPS riser design, In: International Conference on Offshore Mechanics and Arctic Engineering (OMAE1999), FPS in Harsh Environments Workshop, St. Johns, Newfoundland, Canada.
  17. Huang, H., Zhang, J. and Zhu, L. (2013), "Numerical model of a tensioner system and riser guide", Ocean Syst. Eng., 3(4), 257.273. DOI: 10.12989/ose.2013.3.4.257, 257-273.
  18. Katifeoglou, S.A. and Chatjigeorgiou, I.K. (2012), "Dynamic interaction of catenary risers with the seafloor", Appl. Ocean Res., 38, 1-15.
  19. Katifeoglou, S.A., Chatjigeorgiou, I.K. and Mavrakos, S.A. (2012), "Effects of fully developed turbulent internal flow on marine risers' dynamics", Proceedings of the International Conference on Offshore and Polar Engineering (ISOPE2012), Rhodes, Greece.
  20. Kyriakides, S. and Corona, E. (2007), Mechanics of offshore pipelines. Volume 1: Buckling and collapse, Elsevier, Oxford.
  21. Meng, D. and Chen, L. (2012), "Nonlinear free vibrations and vortex-induced vibrations of fluid-conveying steel catenary riser", Appl. Ocean Res., 34, 52-67.
  22. Nakhaee, A. and Zhang, J. (2010), "Trenching effects on dynamic behavior of a steel catenary riser", Ocean Eng., 37(2-3), 277-288.
  23. Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling, W.T. (1986), Numerical recipes, Cambridge University Press.
  24. Riveros, C.A., Utsunomiya, T., Maeda, K. and Itoh, K. (1999), "Dynamic response of oscillating flexible risers under lock-in events", Int. J. Offshore Polar Eng., 19(1), 23-30.
  25. Subbaraj, K. and Dokainish, M.A. (1989), "A survey of direct time-integration methods in computational dynamics-II. Implicit methods", Comput. Struct., 32(6), 1371-1386.