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-inside diameter: 0.211m;

-internal fluid specific gravity: 800kg/m3;

-water depth: 300m;

-pre-tension: 500kN;

-current profile: 1.5m/s at surface and 0.4m/s at seafloor, with

linear interpolation.

 

The results of interest are the ones shown in figures 3 and 4. Figure 3 brings the transverse response (maximum values of y/D) from the Bearman & Ferrari Model compared with the results given by Shear 7 (rms values). Two simulations have been performed with Shear 7: one using the c1 values given in the program internal model, and the other with an imposed c1=1.2 (same value as used for the Bearman & Ferrari Model simulation). Although recognizing that it is difficult to compare the results in terms of their absolute values, as they are given in terms of average for one model and maximum for the other, one should agree that such results are in adherence if we consider the exited modes,

 

075-1.gif

Figure 4 - Time series of the transverse displacement of a riser section located 24 above seafloor

 

Figure 4 presents a times series of the transverse displacement of the riser section located 24 m above seafloor. This result is interesting as it shows the model capability of representing modulated responses, which is a typical non-linear behavior of slender structures under VIV.

 

CONCLUSIONS

 

The fatigue assessment has been identified as a critical issue among the activities involved in the riser design process. The inclusion of the VIV as one of the cyclic loads that cause fatigue is mandatory, but the calculation of the total fatigue damage demands new methods and models, if VIV has to be included. The use of the Ferrari & Bearman Model, as presented in this paper, may be useful for this purpose.

 

Some results of the Ferrari & Bearman Model are shown for a hypothetical riser case, demonstrating that the model is promising for use in riser fatigue design. Numerical and experimental tests will continue, aiming to calibrate the model and to establish its limits of application. Among those tests, special attention is given to the comparisons of the model simulation with the data gathered in the monitoring of the SCR of P-18 platform.

 

REFERENCES

 

American Petroleum Institute (API) - Recommended Practice for Floating Production Systems (FPSs) and Tension-Leg Platforms (TLPs) - API-RP2RD-First Edition-Jun/l998

 

Bearman, P.W., Vortex Shedding from Oscillating Bluff Bodies, Ann. Review of Fluid Mechanics, 1984.

 

Bearman, P.W., Wave Loading Experiments on Circular Cylinders at Large Scale, BOSS488, Trondheim, Norway, 1988.

 

Bearman, P.W., Fluid Loading of Cylinders With Application to rivers; Results from model tests.

Proc. of the Workshop on "Marine Riser Mechanics", Ann Arbor Michigan, 1992.

 

Bearman. P.W., Research on Vortex Induced Vibration and its Impact on offshore Technology,

Conference on Mooring and Riser Design, Aberdeen, 1996.

 

Bearman, P.W., Graham, J.M.R., Obasaju, E.D., "A Model for Transverse Forces on Cylinders in Oscillatory Flows" - Applied Ocean Research - (1984) Vol.6, NO.3, 166-172

 

Bishop, R.E.D. and Hassan, A.Y., The lift and drag forces on a circular cylinder in a flowing fluid,

Proc. of the Royal Society of London, Series A 277, 1964

 

Blevins, R.D., "Flow Induced Vibration" - Krieger Publishing Company - Book - Edited in 1990, Printed in 1994

 

Feng, C.C., The Measurement of Vortex-Induced Effects in Flow Past Stationary and Oscillating Circulator and D-Section Cylinder, M.Sc. Thesis, University of British Columbia, 1968.

 

Fernandes, A.C., Mourelle, M.M., Sertã, O.B., da Silva, S., Parta, P.H.C.C., "Hydrodynamics Coeffircients in the Design of Steel Catenary Risers" - Proc. of the 16th Conf. of Offshore Mechanics and Arctic Engineering, Yokohama - OMAE, 1997.

 

Ferrari Jr, J.A., "Hydrodynamic Loading and Response of Offshore Risers" - Doctor of Philisophy Thesis - Imperial College of Science, Technology and Medicine, London, Apr/1998

 

Halse, K.H, "On Vortex Shedding and Prediction of Vortex-Induced Vibrations of Circular Cylinders" - Doctor Engineering Thesis - Norwegian University of Science and Technology - Faculty of Marine Technology - Dept. of Marine Structures, Trondheim, Feb/1997

 

Khalak, A and Williamson, C.H.K., Investigation of Relative Effects of Mass and Damping in Vortex-Induced Vibration of a Circular Cylinder, J. of Wind Engineering and Industrial Aerodynamics, 1997.

 

King, K.,A review of vortex shedding research and its application, Ocean Engineering 4, 1977.

 

LIC engineering A/S - LIC 22 User's Manual - ver. 3.0, 1994

 

Pantazopoulos, M.S., Vortex, Induced Vibration Parameters: Critical review, OMAE; vol.1 page 149, 1994.

 

Penny, F.G., "Availação Numerico Experimental de um Riser Flexivel" - Tese de M.Sc. - COPPE/UFRJ - (jul/1999).

 

Sertã, O.B., "Vibrações Induzidas por Vórtices no Projeto à Fadiga de Risers" - Tese de M.Sc., - COPPE/UFRJ - (nov/1999)

 

Sertã, O.B., Mourelle, M.M., Grealish, F.W., Harbert, S., Souza, L.F.A., "Steel Catenary Riser for Marlim Field FPS P-XVIII" - Offshore Technology Conference, OTC 8069, Houston - USA - 1996

 

 

 

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