Efficient estimation of extreme response of drag-dominated offshore structures by Monte Carlo simulation

Abstract The paper describes a novel approach to the problem of estimating the extreme response statistics of a drag-dominated offshore structure exhibiting a pronounced dynamic behaviour when subjected to harsh weather conditions. It is shown that the key quantity for extreme response prediction is the mean upcrossing rate function, which can be simply extracted from simulated response time histories. A commonly adopted practice for obtaining adequate extremes for design purposes requires the execution of 20 or more 3-h time domain analyses for several extreme sea states. For early phase considerations, it would be convenient if extremes of a reasonable accuracy could be obtained based on shorter and fewer simulations. The aim of the work reported in the present paper has therefore been to develop specific methods which make it possible to extract the necessary information about the extreme response from relatively short time histories. The method proposed in this paper opens up the possibility to predict simply and efficiently both short-term and long-term extreme response statistics. The results presented are based on extensive simulation results for the Kvitebjorn jacket structure, in operation on the Norwegian Continental Shelf. Specifically, deck response time histories for different sea states simulated from an MDOF model were used as the basis for our analyses.

[1]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[2]  Arvid Naess,et al.  Extreme response statistics for drag dominated offshore structures , 2008 .

[3]  Ove T. Gudmestad,et al.  Kinematics Under Extreme Waves , 2006 .

[4]  S. Winterstein,et al.  ON THE SKEWNESS OF RANDOM SURFACE WAVES , 1992 .

[5]  Oleg Gaidai,et al.  Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems , 2008 .

[6]  A. Huitson,et al.  Statistical Models in Applied Science. , 1976 .

[7]  Xiang Yuan Zheng,et al.  Polynomial Approximations of Wave Loading and Superharmonic Responses of Fixed Structures , 2003 .

[8]  Arvid Naess,et al.  Technical note: On the long-term statistics of extremes , 1984 .

[9]  Richard Burrows,et al.  Critical Assessment of the Least Square Error Method Used in Derivation of Morison’s Force Coefficients , 1994 .

[10]  T. Sarpkaya,et al.  Mechanics of wave forces on offshore structures , 1981 .

[11]  Robert Tibshirani,et al.  An Introduction to the Bootstrap , 1994 .

[12]  Subrata K. Chakrabarti,et al.  Handbook of Offshore Engineering , 2005 .

[13]  Mark Cassidy,et al.  Analysis of jack-up units using a Constrained NewWave methodology , 2001 .

[14]  Arvid Naess,et al.  Estimating Extreme Response of Drag Dominated Offshore Structures From Simulated Time Series of Structural Response , 2007 .

[15]  J. D. Wheeler,et al.  METHOD FOR CALCULATING FORCES PRODUCED BY IRREGULAR WAVES , 1970 .

[16]  A. Naess Technical Note: On a rational approach to extreme value analysis , 1984 .

[17]  Arvid Naess,et al.  Frequency domain analysis of dynamic response of drag dominated offshore structures , 1997 .

[18]  Arvid Naess,et al.  Chapter 5 – Probabilistic Design of Offshore Structures , 2005 .

[19]  Jørgen Juncher Jensen,et al.  Extreme response predictions for jack-up units in second order stochastic waves by FORM , 2006 .