Cycle distributions for Gaussian waves - Exact and approximative results

Georg Lindgren; KB Broberg

Cycle distributions for Gaussian waves - Exact and approximative results

Mathematical Statistics

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

Wave cycle distributions are notoriously difficult to calculate. Available analytic approximations, like those suggested by Longuet-Higgins (1983) and Cavanie, Arhan and Ezraty (1976) make use only of a few spectral moments, and are unreliable for moderate waves. To find distributions under general spectrum shape and parameters one has to use efficient numerical algorithms based on high-dimensional integrals. The paper presents a number of examples of wave cycle distributions computed by the software package WAFO developed at Lund Institute of Technology; http://www.maths.lth.se/matstat/wafo/. All results are compared to simulated or real data. The wave cycles studied are the max-min cycle, the crest-trough wave cycles, the rainflow cycle distribution, and the mean-separated max-min cycle.

Original language	English
Title of host publication	Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3
Publisher	The International Society of Offshore and Polar Engineers
Pages	112-119
Publication status	Published - 2004
Event	14th International Offshore and Polar Engineering Conference (ISOPE 2004) - Toulon, France Duration: 2004 May 23 → 2004 May 28

Conference

Conference	14th International Offshore and Polar Engineering Conference (ISOPE 2004)
Country/Territory	France
City	Toulon
Period	2004/05/23 → 2004/05/28

Subject classification (UKÄ)

Probability Theory and Statistics

Free keywords

wave period
stationary Gaussian process
density
spectral
random fatigue
rainflow cycles
crest-trough
max-min

Cite this

@inproceedings{06912b03149d494caa91b127cf61b0b5,

title = "Cycle distributions for Gaussian waves - Exact and approximative results",

abstract = "Wave cycle distributions are notoriously difficult to calculate. Available analytic approximations, like those suggested by Longuet-Higgins (1983) and Cavanie, Arhan and Ezraty (1976) make use only of a few spectral moments, and are unreliable for moderate waves. To find distributions under general spectrum shape and parameters one has to use efficient numerical algorithms based on high-dimensional integrals. The paper presents a number of examples of wave cycle distributions computed by the software package WAFO developed at Lund Institute of Technology; http://www.maths.lth.se/matstat/wafo/. All results are compared to simulated or real data. The wave cycles studied are the max-min cycle, the crest-trough wave cycles, the rainflow cycle distribution, and the mean-separated max-min cycle.",

keywords = "wave period, stationary Gaussian process, density, spectral, random fatigue, rainflow cycles, crest-trough, max-min",

author = "Georg Lindgren and KB Broberg",

year = "2004",

language = "English",

pages = "112--119",

booktitle = "Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3",

publisher = "The International Society of Offshore and Polar Engineers",

note = "14th International Offshore and Polar Engineering Conference (ISOPE 2004) ; Conference date: 23-05-2004 Through 28-05-2004",

}

Lindgren, G & Broberg, KB 2004, Cycle distributions for Gaussian waves - Exact and approximative results. in Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3. The International Society of Offshore and Polar Engineers, pp. 112-119, 14th International Offshore and Polar Engineering Conference (ISOPE 2004), Toulon, France, 2004/05/23.

Cycle distributions for Gaussian waves - Exact and approximative results. / Lindgren, Georg; Broberg, KB.
Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3. The International Society of Offshore and Polar Engineers, 2004. p. 112-119.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Cycle distributions for Gaussian waves - Exact and approximative results

AU - Lindgren, Georg

AU - Broberg, KB

PY - 2004

Y1 - 2004

N2 - Wave cycle distributions are notoriously difficult to calculate. Available analytic approximations, like those suggested by Longuet-Higgins (1983) and Cavanie, Arhan and Ezraty (1976) make use only of a few spectral moments, and are unreliable for moderate waves. To find distributions under general spectrum shape and parameters one has to use efficient numerical algorithms based on high-dimensional integrals. The paper presents a number of examples of wave cycle distributions computed by the software package WAFO developed at Lund Institute of Technology; http://www.maths.lth.se/matstat/wafo/. All results are compared to simulated or real data. The wave cycles studied are the max-min cycle, the crest-trough wave cycles, the rainflow cycle distribution, and the mean-separated max-min cycle.

AB - Wave cycle distributions are notoriously difficult to calculate. Available analytic approximations, like those suggested by Longuet-Higgins (1983) and Cavanie, Arhan and Ezraty (1976) make use only of a few spectral moments, and are unreliable for moderate waves. To find distributions under general spectrum shape and parameters one has to use efficient numerical algorithms based on high-dimensional integrals. The paper presents a number of examples of wave cycle distributions computed by the software package WAFO developed at Lund Institute of Technology; http://www.maths.lth.se/matstat/wafo/. All results are compared to simulated or real data. The wave cycles studied are the max-min cycle, the crest-trough wave cycles, the rainflow cycle distribution, and the mean-separated max-min cycle.

KW - wave period

KW - stationary Gaussian process

KW - density

KW - spectral

KW - random fatigue

KW - rainflow cycles

KW - crest-trough

KW - max-min

UR - https://www.scopus.com/pages/publications/23844541440

M3 - Paper in conference proceeding

SP - 112

EP - 119

BT - Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3

PB - The International Society of Offshore and Polar Engineers

T2 - 14th International Offshore and Polar Engineering Conference (ISOPE 2004)

Y2 - 23 May 2004 through 28 May 2004

ER -

Cycle distributions for Gaussian waves - Exact and approximative results

Abstract

Conference

Subject classification (UKÄ)

Free keywords

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Cite this