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Free vibration analysis of large sag catenary with application to catenary jumper

  • Klaycham, Karun (Department of Civil Engineering, Faculty of Engineering at Kamphaeng Saen, Kasetsart University) ;
  • Nguantud, Panisara (Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi) ;
  • Athisakul, Chainarong (Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi) ;
  • Chucheepsakul, Somchai (Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi)
  • Received : 2019.06.25
  • Accepted : 2019.11.06
  • Published : 2020.03.25

Abstract

The main goal of this study is to investigate the free vibration analysis of a large sag catenary with application to the jumper in hybrid riser system. The equation of motion is derived by using the variational method based on the virtual work principle. The finite element method is applied to evaluate the numerical solutions. The large sag catenary is utilized as an initial configuration for vibration analysis. The nonlinearity due to the large sag curvature of static configuration is taken into account in the element stiffness matrix. The natural frequencies of large sag catenary and their corresponding mode shapes are determined by solving the eigenvalue problem. The numerical examples of a large sag catenary jumpers are presented. The influences of bending rigidity and large sag shape on the free vibration behaviors of the catenary jumper are provided. The results indicate that the increase in sag reduces the jumper natural frequencies. The corresponding mode shapes of the jumper with large sag catenary shape are comprised of normal and tangential displacements. The large sag curvature including in the element stiffness matrix increases the natural frequency especially for a case of very large sag shape. Mostly, the mode shapes of jumper are dominated by the normal displacement, however, the tangential displacement significantly occurs around the lowest point of sag. The increase in degree of inclination of the catenary tends to increase the natural frequencies.

Keywords

Acknowledgement

Supported by : Thailand Research Fund (TRF), King Mongkut's University of Technology Thonburi (KMUTT)

The authors would like to acknowledge the Institutional research Capability Development Grant from Thailand Research Fund (TRF) and King Mongkut's University of Technology Thonburi (KMUTT).

References

  1. Adamiec-Wojcik, I., Brzozowska, L. and Drąg, L. (2015), "An analysis of dynamics of risers during vessel motion by means of the rigid finite element method", Ocean Eng., 106, 102-114. https://doi.org/10.1016/j.oceaneng.2015.06.053.
  2. Alfosail, F.K., Nayfeh, A.H. and Younis, M.I. (2017), "Natural frequencies and mode shapes of statically deformed inclined risers", J. Non-Linear Mech., 94, 12-19. https://doi.org/10.1016/j.ijnonlinmec.2016.09.007.
  3. Andueza, A., Estefen, S.F. and Marques, da Silva, R. (2011), "Steel hybrid riser for water depths up to 3000 meters", International Conference on Offshore Mechanics and Arctic Engineering, Rotterdam, Netherlands, June.
  4. Athisakul, C., Monprapussorn, T. and Chucheepsakul, S. (2011), "A Variational formulation for three-dimensional analysis of extensible marine riser transporting fluid", Ocean Eng., 38(4), 609-620. https://doi.org/10.1016/j.oceaneng.2010.12.012.
  5. Athisakul, C., Klaycham, K., Phanyasahachart, T., and Chucheepsakul, S. (2011), "Critical Top Tension of an Extensible Catenary Riser", Proceedings of the 21st International Offshore and Polar Engineering Conference, Hawaii, USA, June.
  6. Athisakul, C., Phanyasahachart, T., Klaycham, K. and Chucheepsakul, S. (2012), "Static Equilibrium Configurations and Appropriate Applied Top Tension of Extensible Marine Riser with Specified Total Arc-Length using Finite Element Method", Eng. Struct., 34, 271-277. https://doi.org/10.1016/j.engstruct.2011.08.031.
  7. Athisakul, C., Klaycham, K. and Chucheepsakul, S. (2014), "Critical top tension for static equilibrium configuration of a steel catenary riser", China Ocean Eng., 28(6), 829-842. https://doi.org/10.1007/s13344-014-0064-x.
  8. Bai, Y. (2001), Pipelines and Risers, Elsevier Science Ltd, Amsterdam, North Holland, Netherlands.
  9. Cao, Y. and Chen, H. (2017), "CFD simulation of vortex-induced vibration of free-standing hybrid riser", Ocean Syst. Eng., 7(3), 195-223. https:// doi.org/10.12989/ose.2017.7.3.195.
  10. Chou, D.Y., Minner, W.E., Ragusa, L. and Ho, R.T. (1978), "Dynamic analysis of couple OTEC platform cold-water pipe system", Proceedings of Offshore Technology Conference, Houston, U.S.A., May.
  11. Chucheepsakul, S., Monprapussorn, T. and Huang, T. (2003), "Large strain formulations of extensible flexible marine pipes transporting fluid", J. Fluid. Struct., 17(2), 185-224. https://doi.org/10.1016/S0889-9746(02)00116-0.
  12. Dareing, D.W. and Huang, T. (1979), "Marine riser vibration response determined by modal analysis", J. Energy Resour. Technol., 101(3), 159-166. doi:10.1115/1.3446914.
  13. Dean, D.L. (1962), "Static and dynamic analyses of guy cables", J. Struct. Div.- ASCE, 127, 382-402.
  14. Fischer, W. and Ludwig, M. (1966), "Design of floating vessel drilling risers", J. Petro. Tech., 3(1), 272-283. https://doi.org/10.2118/1220-PA.
  15. Gay Neto, A., Martins, C.A. and Pimenta, P.M. (2014), "Static analysis of offshore risers with a geometrically-exact 3d beam model subjected to unilateral contact", Comput. Mech., 53(1), 125-145. https://doi.org/10.1007/s00466-013-0897-9.
  16. Graham, R.D. and Frost, M.A. (1965), "Analysis of the motion of deep-water drill string-part 1: forced lateral motion - and part 2: forced rolling motion", J. Eng. Ind., 10(2), 137-147. doi:10.1115/1.3670778.
  17. Henghold, W.M., Russell, J.J. and Morgan, J.D. (1977), "Free vibrations of cable in three dimensions", J. Struct. Div.- ASCE, 103(5), 1127-1136. https://doi.org/10.1061/JSDEAG.0004633
  18. Huang, T. and Dareing, D.W. (1969), "Frequencies of a hanging chain", J. Acoust. Soc. Am., 45, 1046-1049. https://doi.org/10.1121/1.1911505.
  19. Huang, T. and Chucheepsakul, S. (1985), "Large displacement analysis of a marine riser", J. Energy Resour. Technol., 107(1), 54-59. doi:10.1115/1.3231163.
  20. Ibrahim, A.E. and Jameel, M. (2018), "Wind induced response of spar-mooring-riser system", KSCE J. Civ. Eng., 22(8), 2653-2663. https://doi.org/10.1007/s12205-017-1914-x.
  21. Kim, K.S., Choi H.S. and Kim, K.S. (2018), "Preliminary optimal configuration on free standing hybrid riser", Int. J. Nav. Archit. Ocean Eng., 10(3), 250-258. https://doi.org/10.1016/j.ijnaoe.2017.10.012.
  22. Kim, H.T. and O'Reilly, O.M. (2019), "Instability of catenary-type flexible risers conveying fluid in subsea environments", Ocean Eng., 173, 98-115. https://doi.org/10.1016/j.oceaneng.2018.12.042.
  23. Klaycham, K., Athisakul, C. and Chucheepsakul, S. (2014), "Nonlinear Free Vibration of a Steel Catenary Riser", Proceedings of the 24th International Offshore and Polar Engineering Conference, Busan, Korea, June.
  24. Klaycham, K., Athisakul, C. and Chucheepsakul, S. (2018), "Large Amplitude Motions of Deepwater Marine Riser Transporting Fluid", Proceedings of the 28th International Offshore and Polar Engineering Conference, Sapporo, Japan, June.
  25. Kopecky, J.A. (1971), "Drilling riser stress measurements", J. Eng. Ind., 93(4), 1203-1208. doi:10.1115/1.3428063.
  26. Krolikowski, L.P. and Grey, T.A., (1980), "An improved linearization technique for frequency domain riser analysis", Offshore Technol., 1, 3777-3783. https://doi.org/10.4043/3777-MS.
  27. Monprapussorn, T., Athisakul, C. and Chucheepsakul, S. (2007), "Nonlinear vibrations of an extensible flexible marine riser carrying a pulsatile flow", J. Appl. Mech., 74(4), 754-769. doi:10.1115/1.2711226.
  28. Phanyasahachart, T., Athisakul, C. and Chucheepsakul, S. (2017), "Analysis of large-sag extensible catenary with free horizontal sliding at one end by variational approach", Int. J. Struct. Stability. Dyn., 17(7), 1-17, 2017. https://doi.org/10.1142/S0219455417500705.
  29. Phanyasahachart, T., Athisakul, C. and Chucheepsakul, S. (2018), "Natural frequencies of a very large-sag extensible cable", J. Eng. Mech., 144(2), 06017020. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001409.
  30. Rombado, G. Yue, B. and Rueda, C. (2012) "Steel catenary jumper for single hybrid riser in deepwater applications", Proceedings of the Offshore Technology Conference, Houston, Texas, USA, April.
  31. Su, K., Butt, S., Yang, J. and Qiu, H. (2018), "Coupled dynamic analysis for the riser-conductor of deepwater surface BOP drilling system", J. Shock Vib., 2018, 6568537. https://doi.org/10.1155/2018/6568537.
  32. Trucker, T.C. and Murtha, J.P. (1973), "Nondeterministic analysis of a marine riser", Proceeding of the Offshore Technology Conference, Houston, U.S.A., May.
  33. Wang, J., Duan, M. and Luo, J. (2015), "Mathematical model of steel lazy-wave riser abandonment and recovery in deepwater", Mar. Struct., 41, 127-153. https://doi.org/10.1016/j.marstruc.2015.02.002.
  34. Zou, J. (2012), "Semisubmersible platforms with steel catenary risers for Western Australia and Gulf of Mexico", Ocean Syst. Eng., 2(2), 99-113. http://dx.doi.org/10.12989/ose.2012.2.2.099.

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