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2021 | OriginalPaper | Chapter

Estimation of the Extreme Response Probability Distribution of Offshore Structures Due to Current and Turbulence

Authors : Oscar Sanchez Jimenez, Emmanuel Pagnacco, Eduardo Souza de Cursi, Rubens Sampaio

Published in: Proceedings of the 5th International Symposium on Uncertainty Quantification and Stochastic Modelling

Publisher: Springer International Publishing

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Abstract

For a model of offshore structure standing in a fluid, we derived the cumulative distribution function of the extreme base shear and the extreme bending moment, that is, the extreme value produced by the weighted sum of a spatially continuous non-Gaussian stochastic horizontal force field produced by current and turbulence, in a given time interval it is assumed to be stationary. In the proposed methodology, the theory of translated processes is used to solve the problem of finding the extreme of non-Gaussian stochastic processes. The application is carried out on a thick column whereas the stochastic field of turbulence is supposed to be Gaussian but not necessarily narrow-band. The cumulative distribution functions obtained are in good agreement with statistical results derived from simulations in the time domain.

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Literature
1.
Grigoriu, M.: Extremes of wave forces. J. Eng. Mech. 110(12), 1731–1742 (1984)CrossRef
2.
Brouwers, J., Verbeek, P.: Expected fatigue damage and expected extreme response for morison-type wave loading. Appl. Ocean Res. 5(3), 129–133 (1983)CrossRef
3.
Naess, A.: Prediction of extremes of morison-type loading–an example of a general method. Ocean Eng. 10(5), 313–324 (1983)CrossRef
4.
Moe, G.: Long-term wave-force statistics for a vertical pile. Coastal Eng. 2, 297–311 (1978)CrossRef
5.
Najafian, G., Burrows, R.: Probabilistic modelling of quasi-static response of offshore structures subject to nonlinear wave loading: two approximate approaches. Appl. Ocean Res. 16(4), 205–221 (1994)CrossRef
6.
Tromans, P., Hagemeijer, P., Wassink, H.: The statistics of the extreme response of offshore structures. Ocean Eng. 19(2), 161–181 (1992)CrossRef
7.
Moan, T., Zheng, X.Y., Quek, S.T.: Frequency-domain analysis of non-linear wave effects on offshore platform responses. Int. J. Non-Linear Mech. 42(3), 555–565 (2007)CrossRef
8.
Jensen, J.J.: Extreme value predictions and critical wave episodes for marine structures by FORM. Ships Offshore Struct. 3(4), 325–333 (2008)MathSciNetCrossRef
9.
Jensen, J.J.: Extreme value predictions using monte carlo simulations with artificially increased load spectrum. Probabilistic Eng. Mech. 26(2), 399–404 (2011)CrossRef
10.
11.
Morison, J., Johnson, J., Schaaf, S.: The force exerted by surface waves on piles. J. Petroleum Technol. 2(05), 149–154 (1950)CrossRef
12.
Naess, A., Moan, T.: Stochastic Dynamics of Marine Structures. Cambridge University Press, Cambridge (2009)MATH
13.
Lutes, L.D., Sarkani, S.: Random Vibrations: Analysis of Structural and Mechanical Systems. Butterworth-Heinemann, Oxford (2004)
14.
Grigoriu, M.: Crossings of non-gaussian translation processes. J. Eng. Mech. 110(4), 610–620 (1984)CrossRef
15.
Kotz, S., Johnson, N.L., Boyd, D.W.: Series representations of distributions of quadratic forms in normal variables. i. central case. Ann. Math. Stat. 38(3), 823–837 (1967)MathSciNetMATHCrossRef
16.
Kotz, S., Johnson, N.L., Boyd, D.W.: Series representations of distributions of quadratic forms in normal variables II non-central case. Ann. Math. Stat. 38(3), 838–848 (1967)MathSciNetMATHCrossRef
17.
Lewis, M., Neill, S., Robins, P., Hashemi, M., Ward, S.: Characteristics of the velocity profile at tidal-stream energy sites. Renew. Energy 114, 258–272 (2017)CrossRef
18.
Jeffcoate, P., Starzmann, R., Elsaesser, B., Scholl, S., Bischoff, S.: Field measurements of a full scale tidal turbine. Int. J. Marine Energy 12, 3–20 (2015)CrossRef
19.
Thomson, J., Polagye, B., Durgesh, V., Richmond, M.C.: Measurements of turbulence at two tidal energy sites in puget sound WA. IEEE J. Oceanic Eng. 37(3), 363–374 (2012)CrossRef
20.
Naess, A., Gaidai, O., Batsevych, O.: Extreme value statistics of combined load effect processes. Struct. Safety 31(4), 298–305 (2009)CrossRef
Metadata
Title
Estimation of the Extreme Response Probability Distribution of Offshore Structures Due to Current and Turbulence
Authors
Oscar Sanchez Jimenez
Emmanuel Pagnacco
Eduardo Souza de Cursi
Rubens Sampaio
Copyright Year
2021
Book
Proceedings of the 5th International Symposium on Uncertainty Quantification and Stochastic Modelling

Print ISBN: 978-3-030-53668-8

Electronic ISBN: 978-3-030-53669-5

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-53669-5_22