Abstract
This paper aims to present the critical top tension for static equilibrium configurations of a steel catenary riser (SCR) by using the finite element method. The critical top tension is the minimum top tension that can maintain the equilibrium of the SCR. If the top tension is smaller than the critical value, the equilibrium of the SCR does not exist. If the top tension is larger than the critical value, there are two possible equilibrium configurations. These two configurations exhibit the nonlinear large displacement. The configuration with the smaller displacement is stable, while the one with larger displacement is unstable. The numerical results show that the increases in the riser’s vertical distances, horizontal offsets, riser’s weights, internal flow velocities, and current velocities increase the critical top tensions of the SCR. In addition, the parametric studies are also performed in order to investigate the limit states for the analysis and design of the SCR.
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References
Atanackovic, T. M., 1997. Stability Theory of Elastic Rods, Singapore, World Scientific Publishing Co., London, UK.
Athisakul, C., Huang, T. and Chucheepsakul, S., 2002. Large strain static analysis of marine risers via a variational approach, Proc. 12th Int. Offshore Polar Eng. Conf., Kitakyushu, Japan, 12, 164–170.
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.
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.
Bernitsas, M. M., 1980. Riser top tension and riser buckling loads, Computational Methods for Offshore Structures, Appl. Mech. Div., ASME, 37, 101–109.
Bernitsas, M. M. and Kokkinis, T., 1983. Buckling of risers in tension due to internal pressure: Nonmovable boundaries, J. Energy Resour. Technol., 105(3): 277–281.
Chai, Y. T. and Varyani, K. S., 2006. An absolute coordinate formulation for three-dimensional flexible pipe analysis, Ocean Eng., 33(1): 23–58.
Chen, J. and Wang, D., 1991. Nonlinear dynamic analysis of flexible marine-risers, China Ocean Eng., 5(4): 373–384.
Chucheepsakul, S. and Monprapussorn, T., 2001. Nonlinear buckling of marine elastica pipes transporting fluid, Int. J. Struct. Stabil. Dyn., 1(3): 333–365.
Chucheepsakul, S. and Wang, C. M., 1997. Mechanics of neutrally buoyant cables, Mech. Res. Commun., 24(6): 603–607.
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.
Felippa, C. A. and Chung, J. S., 1981. Nonlinear static analysis of deep ocean mining pipe-Part 1: Modeling and formulation, J. Energy Resour. Technol., 103(1): 11–15.
Fu, J. J. and Yang, H. Z., 2010. Fatigue characteristic analysis of deepwater steel catenary risers at the touchdown point, China Ocean Eng., 24(2): 291–304.
Huang, T. and Chucheepsakul, S., 1985. Large displacement analysis of a marine riser, J. Energy Resour. Technol., 107(1): 54–59.
Moe, G. and Arntsen, Ø., 2001. An analytic model for static analysis of catenary risers, Proc. 11th Int. Offshore Polar Eng. Conf., Stavanger, Norway, 2, 248–253.
More, J. J., Garbow, B. S. and Hillstrom, K. E., 1980. User Guide for MINPACK-1, Illinois, Argonne National Laboratories.
Seyed, F. B. and Patel, M. H., 1992. Mathematics of flexible risers including pressure and internal flow effects, Mar. Struct., 5(2): 121–150.
Zheng, W. Q., Yang, H. Z. and Li, Q. Q., 2012. Multiaxial fatigue analyses of stress joints for deep water steel catenary risers, China Ocean Eng., 26(4): 713–722.
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This paper is financially supported by the Thailand Research Fund (TRF) through the Royal Golden Jubilee Ph. D. Program (Grant No. PHD/0112/2553) and the National Research University (NRU) initiative.
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Athisakul, C., Klaycham, K. & Chucheepsakul, S. Critical top tension for static equilibrium configuration of a steel catenary riser. China Ocean Eng 28, 829–842 (2014). https://doi.org/10.1007/s13344-014-0064-x
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DOI: https://doi.org/10.1007/s13344-014-0064-x