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Cycle distributions for Gaussian waves - Exact and approximative results

Lindgren, Georg LU orcid and Broberg, KB (2004) 14th International Offshore and Polar Engineering Conference (ISOPE 2004) p.112-119
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... (More)
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. (Less)
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author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
wave period, stationary Gaussian process, density, spectral, random fatigue, rainflow cycles, crest-trough, max-min
host publication
Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3
pages
112 - 119
publisher
The International Society of Offshore and Polar Engineers
conference name
14th International Offshore and Polar Engineering Conference (ISOPE 2004)
conference location
Toulon, France
conference dates
2004-05-23 - 2004-05-28
external identifiers
  • wos:000223783100016
  • scopus:23844541440
language
English
LU publication?
yes
id
06912b03-149d-494c-aa91-b127cf61b0b5 (old id 1406741)
date added to LUP
2016-04-04 10:51:50
date last changed
2022-01-29 20:58:32
@inproceedings{06912b03-149d-494c-aa91-b127cf61b0b5,
  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.}},
  author       = {{Lindgren, Georg and Broberg, KB}},
  booktitle    = {{Proceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3}},
  keywords     = {{wave period; stationary Gaussian process; density; spectral; random fatigue; rainflow cycles; crest-trough; max-min}},
  language     = {{eng}},
  pages        = {{112--119}},
  publisher    = {{The International Society of Offshore and Polar Engineers}},
  title        = {{Cycle distributions for Gaussian waves - Exact and approximative results}},
  year         = {{2004}},
}