Research Papers: Structures and Safety Reliability

Long-Term Extreme Response Analysis of Marine Structures Using Inverse SORM

[+] Author and Article Information
Finn-Idar G. Giske

NTNU/Multiconsult, 7491/Oslo,
Trondheim 0213, Norway
e-mail: figg@multiconsult.no

Bernt Johan Leira

Department of Marine Technology NTNU,
Trondheim 7491, Norway
e-mail: bernt.leira@ntnu.no

Ole Øiseth

Department of Structural Engineering NTNU,
Trondheim 7491, Norway
e-mail: ole.oiseth@ntnu.no

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received August 17, 2017; final manuscript received March 9, 2018; published online May 2, 2018. Assoc. Editor: Kazuhiro Iijima.

J. Offshore Mech. Arct. Eng 140(5), 051601 (May 02, 2018) (7 pages) Paper No: OMAE-17-1146; doi: 10.1115/1.4039718 History: Received August 17, 2017; Revised March 09, 2018

In this paper, the first-order reliability method (FORM) found in connection with structural reliability analysis is first used in an inverse manner to efficiently obtain an approximate solution of the full long-term extreme response of marine structures. A new method is then proposed where the second-order reliability method (SORM) is used to improve the accuracy of the approximation, resulting in an inverse SORM (ISORM) approach. This method is compared with exact results obtained using full numerical integration. The new method is seen to achieve significantly improved accuracy, yet keep the number of required short-term response analyses within acceptable levels.

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Naess, A. , and Moan, T. , 2012, Stochastic Dynamics of Marine Structures, Cambridge University Press, Cambridge, UK. [CrossRef]
Naess, A. , Gaidai, O. , and Teigen, P. , 2007, “ Extreme Response Prediction for Nonlinear Floating Offshore Structures by Monte Carlo Simulation,” Appl. Ocean Res., 29(4), pp. 221–230. [CrossRef]
Giske, F.-I. G. , Leira, B. J. , and Øiseth, O. , 2017, “ Efficient Computation of Cross-Spectral Densities in the Stochastic Modelling of Waves and Wave Loads,” Appl. Ocean Res., 62, pp. 70–88. [CrossRef]
Sagrilo, L. , Naess, A. , and Doria, A. , 2011, “ On the Long-Term Response of Marine Structures,” Appl. Ocean Res., 33(3), pp. 208–214. [CrossRef]
Zhang, Y. , Beer, M. , and Quek, S. T. , 2015, “ Long-Term Performance Assessment and Design of Offshore Structures,” Comput. Struct., 154, pp. 101–115. [CrossRef]
Giske, F.-I. G. , Leira, B. J. , and Øiseth, O. , 2017, “ Full Long-Term Extreme Response Analysis of Marine Structures Using Inverse FORM,” Probab. Eng. Mech., 50, pp. 1–8. [CrossRef]
Lim, J. , Lee, B. , and Lee, I. , 2014, “ Second-Order Reliability Method-Based Inverse Reliability Analysis Using Hessian Update for Accurate and Efficient Reliability-Based Design Optimization,” Int. J. Numer. Methods Eng., 100(10), pp. 773–792. [CrossRef]
Naess, A. , 1984, “ Technical Note: On the Long-Term Statistics of Extremes,” Appl. Ocean Res., 6(4), pp. 227–228. [CrossRef]
Melchers, R. E. , 1999, Structural Reliability Analysis and Prediction, 2nd ed., Wiley, Chichester, UK.
Lee, I. , Noh, Y. , and Yoo, D. , 2012, “ A Novel Second-Order Reliability Method (SORM) Using Noncentral or Generalized Chi-Squared Distributions,” ASME J. Mech. Des., 134(10), p. 100912.
Breitung, K. , 1984, “ Asymptotic Approximations for Multinormal Integrals,” J. Eng. Mech., 110(3), pp. 357–366. [CrossRef]
Breitung, K. , 2015, “ 40 Years FORM: Some New Aspects?,” Probab. Eng. Mech., 42, pp. 71–77. [CrossRef]
Winterstein, S. R. , Ude, T. C. , Cornell, C. A. , Bjerager, P. , and Haver, S. , 1993, “ Environmental Parameters for Extreme Response: Inverse FORM With Omission Factors,” Sixth International Conference on Structural Safety and Reliability (ICOSSAR), Innsbruck, Austria, Aug. 9–13, pp. 1–8.
DNV, 2010, “ Environmental Conditions and Environmental Loads,” DNV, Høvik, Norway, Standard No. DNV-RP-C205.
Stansberg, C. T. , Contento, G. , Hong, S. W. , Irani, M. , Ishida, S. , Mercier, R. , Wang, Y. , Wolfram, J. , Chaplin, J. , and Kriebel, D. , 2002, “ The Specialist Committee on Waves Final Report and Recommendations to the 23rd ITTC,” 23rd ITTC, pp. 505–736.


Grahic Jump Location
Fig. 1

The joint PDF of the environmental parameters

Grahic Jump Location
Fig. 2

The generalized Pierson–Moskowitz spectrum

Grahic Jump Location
Fig. 3

The absolute value |HηR(ω)| of the transfer function



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