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Probability density functions for non-linear random waves and responses

Machado, Ulla E.B. LU (2003) In Ocean Engineering 30(8). p.1027-1050
Abstract
Non-linear waves have been a research topic for a long time, but have not yet entered common ocean engineering practice. In this article the problem of calculating the probability density function (pdf) for non-linear waves is investigated. The 'saddle point approximation' is applied to a second-order wave model to estimate the pdf. The performance of the approximation is compared with the performances of the more commonly used methods for different types of input spectra. In addition, a non-parametric transformation method, with extrapolation of the level crossing intensity, is proposed to estimate the pdf. One simulation and three different data sets are used to investigate the performance of the model. (C) 2002 Elsevier Science Ltd. All... (More)
Non-linear waves have been a research topic for a long time, but have not yet entered common ocean engineering practice. In this article the problem of calculating the probability density function (pdf) for non-linear waves is investigated. The 'saddle point approximation' is applied to a second-order wave model to estimate the pdf. The performance of the approximation is compared with the performances of the more commonly used methods for different types of input spectra. In addition, a non-parametric transformation method, with extrapolation of the level crossing intensity, is proposed to estimate the pdf. One simulation and three different data sets are used to investigate the performance of the model. (C) 2002 Elsevier Science Ltd. All rights reserved. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
approximation, POT method, saddle point, non-linear random waves, probability density function
in
Ocean Engineering
volume
30
issue
8
pages
1027 - 1050
publisher
Elsevier
external identifiers
  • wos:000181510900004
  • scopus:0037408990
ISSN
1873-5258
DOI
10.1016/S0029-8018(02)00083-5
language
English
LU publication?
yes
id
6219a37c-233c-4d4c-b434-1ace3b0aca72 (old id 316865)
date added to LUP
2007-09-17 18:56:38
date last changed
2018-10-07 03:36:00
@article{6219a37c-233c-4d4c-b434-1ace3b0aca72,
  abstract     = {Non-linear waves have been a research topic for a long time, but have not yet entered common ocean engineering practice. In this article the problem of calculating the probability density function (pdf) for non-linear waves is investigated. The 'saddle point approximation' is applied to a second-order wave model to estimate the pdf. The performance of the approximation is compared with the performances of the more commonly used methods for different types of input spectra. In addition, a non-parametric transformation method, with extrapolation of the level crossing intensity, is proposed to estimate the pdf. One simulation and three different data sets are used to investigate the performance of the model. (C) 2002 Elsevier Science Ltd. All rights reserved.},
  author       = {Machado, Ulla E.B.},
  issn         = {1873-5258},
  keyword      = {approximation,POT method,saddle point,non-linear random waves,probability density function},
  language     = {eng},
  number       = {8},
  pages        = {1027--1050},
  publisher    = {Elsevier},
  series       = {Ocean Engineering},
  title        = {Probability density functions for non-linear random waves and responses},
  url          = {http://dx.doi.org/10.1016/S0029-8018(02)00083-5},
  volume       = {30},
  year         = {2003},
}