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.
Issue Section:
Structures and Safety Reliability
References
1.
Naess
, A.
, and Moan
, T.
, 2012
, Stochastic Dynamics of Marine Structures
, Cambridge University Press
, Cambridge, UK
.2.
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
.3.
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
.4.
Sagrilo
, L.
, Naess
, A.
, and Doria
, A.
, 2011
, “On the Long-Term Response of Marine Structures
,” Appl. Ocean Res.
, 33
(3
), pp. 208
–214
.5.
Zhang
, Y.
, Beer
, M.
, and Quek
, S. T.
, 2015
, “Long-Term Performance Assessment and Design of Offshore Structures
,” Comput. Struct.
, 154
, pp. 101
–115
.6.
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
.7.
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
.8.
Naess
, A.
, 1984
, “Technical Note: On the Long-Term Statistics of Extremes
,” Appl. Ocean Res.
, 6
(4
), pp. 227
–228
.9.
Melchers
, R. E.
, 1999
, Structural Reliability Analysis and Prediction
, 2nd ed., Wiley
, Chichester, UK
.10.
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. 100912.11.
Breitung
, K.
, 1984
, “Asymptotic Approximations for Multinormal Integrals
,” J. Eng. Mech.
, 110
(3
), pp. 357
–366
.12.
Breitung
, K.
, 2015
, “40 Years FORM: Some New Aspects?
,” Probab. Eng. Mech.
, 42
, pp. 71
–77
.13.
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. 1–8.14.
DNV
, 2010
, “Environmental Conditions and Environmental Loads
,” DNV, Høvik, Norway, Standard No. DNV-RP-C205
.15.
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
.Copyright © 2018 by ASME
You do not currently have access to this content.