Stochastic dynamic analysis of floating production systems using the First Order Reliability Method and the Secant Hyperplane Method

Ocean Engineering

Volumn 137, Issue , 2017, Pages 68-77

  Alibrandi, Umberto ^a   Koh, C G ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

First Order Reliability Method; Floating Production System; Marine riser; Secant Hyperplane Method; Stochastic linearization; Tail Equivalent Linearization Method

Indexed keywords

GEOMETRY; LINEAR SYSTEMS; LINEARIZATION; MARINE RISERS; MOORING; OCEAN CURRENTS; PROBABILITY; RELIABILITY ANALYSIS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; STRUCTURAL ANALYSIS;

EQUIVALENT LINEARIZATION METHODS; FIRST ORDER RELIABILITY METHODS; FLOATING PRODUCTION SYSTEM; SECANT HYPERPLANE METHOD; STOCHASTIC LINEARIZATION;

TIME DOMAIN ANALYSIS;

COMPLEXITY; DYNAMIC ANALYSIS; FPSO; NUMERICAL MODEL; PROBABILITY; RISER; STOCHASTICITY;

EID: 85016423137     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2017.02.031     Document Type: Article

References (45)

1. (DNV) Det Norske Veritas, 2010 (DNV) Det Norske Veritas, 2010. DNV-RP-C205: Environmental Conditions and Environmental Loads October 2010 - Recommended Practice.
2. Alibrandi, U., A response surface method for stochastic dynamic analysis. Reliab. Eng. Syst. Saf. 126 (2014), 44–53, 10.1016/j.ress.2014.01.003.
3. Alibrandi, U., Der Kiureghian, A., A gradient-free method for determining the design point in nonlinear stochastic dynamic analysis. (in:) Probabilistic Eng. Mech., 2012, 2–10.
4. Alibrandi, U., Koh, C.G., 2015. Stochastic dynamic analysis of a marine riser using Proceedings of the First-Order Reliability Method, In: Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP12, Vancouver, Canada.
5. Alibrandi, U., Mosalam, K.M., 2016. The Tail Probability Equivalent Linearization Method (TPELM), In: Proceedings of the International Symposium on Sustainability and Resilience of Infrastructure (ISSRI 2016). Taipei, Taiwan.
6. Alibrandi, U., Mosalam, K.M., Equivalent linearization methods for nonlinear stochastic dynamic analysis using linear response surfaces. J. Eng. Mech., 2017.
7. Alibrandi, U., Ma, C.Y., Koh, C.G., 2014. Prediction of responses of Floating Production Systems using the Multi Gaussian Maximum Entropy Method, In: Proceedings of the 11th International Conference on Hydrodynamics (ICHD 2014).
8. Alibrandi, U., Alani, A., Koh, C.G., Implications of high-dimensional geometry for structural reliability analysis and a novel linear response surface method based on SVM. Int. J. Comput. Methods, 12, 2015, 10.1142/S0219876215400162.
9. Alibrandi, U., Alani, A.M., Ricciardi, G., A new sampling strategy for SVM-based response surface for structural reliability analysis. Probabilistic Eng. Mech., 41, 2015, 10.1016/j.probengmech.2015.04.001.
10. Alibrandi, U., Ma, C., Koh, C.G., Secant hyperplane method for structural reliability analysis. J. Eng. Mech., 142, 2016, 10.1061/(ASCE)EM.1943-7889.0001024.
11. de Angelis, M., Patelli, E., Beer, M., Advanced line sampling for efficient robust reliability analysis. Struct. Saf. 52 (2015), 170–182, 10.1016/j.strusafe.2014.10.002.
12. Aranha, J.A.P., A formula for “wave damping” in the drift of a floating body. J. Fluid Mech. 275 (1994), 147–155, 10.1017/S0022112094002314.
13. Au, S.K., Beck, J.L., Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Eng. Mech. 16 (2001), 263–277, 10.1016/S0266-8920(01)00019-4.
14. Broccardo, M., Alibrandi, U., Wang, Z., Garrè, L., 2017. The Tail Equivalent Linearization Method for nonlinear stochastic processes, genesis and developments, in: Risk and Reliability Analysis: Theory and Applications - In Honor of Prof. Armen Der Kiureghian. Springer Series in Reliability.
15. Bucher, C., Asymptotic sampling for high-dimensional reliability analysis. Probabilistic Eng. Mech. 24 (2009), 504–510, 10.1016/j.probengmech.2009.03.002.
16. Burges, C.C.J.C., A tutorial on support vector machines for pattern recognition. data Min. Knowl. Discov. 2 (1998), 121–167, 10.1023/A:1009715923555.
17. Der Kiureghian, A., Geometry of random vibrations and solutions by FORM and SORM. Probabilistic Eng. Mech. 15 (2000), 81–90, 10.1016/S0266-8920(99)00011-9.
18. Det Norske Veritas, 2010. DNV-OS-F201 Dynamic Risers 91.
19. Ditlevsen, O., Madsen, H.O., Structural reliability methods. Mech. Eng., 361, 2007.
20. Faltinsen, O.M., Sea Loads on Ships and Offshore Structures. 1990, Cambridge Univ. Press (doi:9780521458702).
21. Fujimura, K., Der Kiureghian, A., Tail-equivalent linearization method for nonlinear random vibration. probabilistic Eng. Mech. 22 (2007), 63–76, 10.1016/j.probengmech.2006.08.001.
22. Garrè, L., Der Kiureghian, A., Tail-Equivalent Linearization Method in frequency domain and application to marine structures. Mar. Struct. 23 (2010), 322–338, 10.1016/j.marstruc.2010.07.006.
23. Haukaas, T., Der Kiureghian, A., 2003. Finite element reliability and sensitivity methods for performance-based earthquake engineering. Peer 266.
24. Jensen, J.J., Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM). J. Mar. Sci. Technol. 12 (2007), 191–202, 10.1007/s00773-007-0243-z.
25. Jensen, J.J., Extreme value predictions using Monte Carlo simulations with artificially increased load spectrum. probabilistic Eng. Mech. 26 (2011), 399–404, 10.1016/j.probengmech.2010.09.001.
26. Jensen, J.J., Capul, J., Extreme response predictions for jack-up units in second order stochastic waves by FORM. probabilistic Eng. Mech. 21 (2006), 330–337, 10.1016/j.probengmech.2005.11.007.
27. Jensen, J.J., Olsen, A.S., Mansour, A.E., Extreme wave and wind response predictions. Ocean Eng. 38 (2011), 2244–2253, 10.1016/j.oceaneng.2011.10.003.
28. Katafygiotis, L.S., Zuev, K.M., Geometric insight into the challenges of solving high-dimensional reliability problems. probabilistic Eng. Mech. 23 (2008), 208–218, 10.1016/j.probengmech.2007.12.026.
29. Koo, H., Der Kiureghian, A., Fujimura, K., Design-point excitation for non-linear random vibrations. probabilistic Eng. Mech. 20 (2005), 136–147, 10.1016/j.probengmech.2005.04.001.
30. Kurtz, N., Song, J., Cross-entropy-based adaptive importance sampling using Gaussian mixture. Struct. Saf. 42 (2013), 35–44, 10.1016/j.strusafe.2013.01.006.
31. Langley, R.S., On the time domain simulation of second order wave forces and induced responses. Appl. Ocean Res. 8 (1986), 134–143, 10.1016/S0141-1187(86)80012-8.
32. Liu, P.-L., Der Kiureghian, A., Optimization algorithms for structural reliability. Struct. Saf. 9 (1991), 161–177, 10.1016/0167-4730(91)90041-7.
33. Low, Y.M., Langley, R.S., Time and frequency domain coupled analysis of deepwater floating production systems. Appl. Ocean Res. 28 (2006), 371–385, 10.1016/j.apor.2007.05.002.
34. Low, Y.M., Langley, R.S., Understanding the dynamic coupling effects in deep water floating structures using a simplified model. J. Offshore Mech. Arct. Eng. ASME, 130, 2008, 10.1115/1.2904951.
35. Melchers, R.E., 1999. Structural Reliability, Analysis and Prediction. New York.
36. Newman, J.N., 1974. Second order slowly varying forces in irregular waves, In: Proceedings of the International Symp. on Dynamics, Marine Vehicles and Offshore Structures in Waves. London.
37. Orcina, 2011. Orcaflex user manual.
38. Rackwitz, R., Reliability analysis-a review and some perspective. Struct. Saf. 23 (2001), 365–395, 10.1016/S0167-4730(02)00009-7.
39. Roberts, J.B., Spanos, P.D., Random Vibration and Statistical Linearization. 1990, Wiley, Chichester.
40. Spanos, P.D., Chen, T.W., Vibrations of marine riser systems. J. Energy Resour. Technol. 102 (1980), 203–213.
41. Valdebenito, M.A., Pradlwarter, H.J., Schuëller, G.I., The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities. Struct. Saf. 32 (2010), 101–111, 10.1016/j.strusafe.2009.08.004.
42. Vapnik, V.N., The Nature of Statistical Learning Theory. 1995, Springer, 10.1109/TNN.1997.641482.
43. Ward, E.G., Haring, R.E., Devlin, P.V., 1999. Deepwater Mooring and Riser Analysis for Depths to 10,000 feet, In: Proceedings of the Offshore Tech. Conference.
44. Zhang, Y., Der Kiureghian, A., Dynamic response sensitivity of inelastic structures. Comput. Methods Appl. Mech. Eng. 108 (1993), 23–36, 10.1016/0045-7825(93)90151-M.
45. Zhang, Y., Der Kiureghian, A., 1995. Two improved algorithms for reliability analysis, In: Proceedings of the 6th IFIP WG 7.5 Working Conference on Reliability and Optimization of Structural Systems. Chapman & Hall, Assisi, Italy.