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  4. First passage times for nonlinear ship dynamics using Gaussian random fields and effective waves
 
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First passage times for nonlinear ship dynamics using Gaussian random fields and effective waves

Citation Link: https://doi.org/10.15480/882.5146
Publikationstyp
Journal Article
Date Issued
2023-08-01
Sprache
English
Author(s)
Dostal, Leo  
Hollm, Marten  orcid-logo
Maki, Atsuo  
Institut
Mechanik und Meerestechnik M-13  
TORE-DOI
10.15480/882.5146
TORE-URI
http://hdl.handle.net/11420/15334
Journal
Ocean engineering  
Volume
281
Article Number
114751
Citation
Ocean Engineering 281: 114751 (2023-08-01)
Publisher DOI
10.1016/j.oceaneng.2023.114751
Scopus ID
2-s2.0-85158907647
Publisher
Elsevier Science
Peer Reviewed
true
It is important to know the mean time until critical roll motion occurs in various operating and sea conditions, in order to determine and ensure the safety of ship designs and operating ships. Since typical ocean waves are irregular, the forcing and roll response of the ship is considered to be a stochastic process of colored noise type. However, the simulation of the corresponding first passage times is very time consuming. Therefore, an approach for the determination of mean first passage times of critical roll motion of ships is proposed in this paper which needs much less computation time. This approach is based on explicit formulas for the roll energy of the ship. These formulas are used to determine the mean first passage times based on integral expressions, which were previously obtained. The resulting integral expressions can be computed very fast using standard quadrature formulas. Moreover, the underlying model for ship dynamics is extended by introducing a new effective wave for short-crested sea states. This is an extension to the improved Grim's effective wave concept.
Subjects
Effective wave
First passage times
Irregular seas
DDC Class
530: Physik
600: Technik
620: Ingenieurwissenschaften
Publication version
submittedVersion
Lizenz
https://creativecommons.org/licenses/by-nc-nd/4.0/
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