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Publisher DOI: 10.1016/j.oceaneng.2023.114751
Title: First passage times for nonlinear ship dynamics using Gaussian random fields and effective waves
Language: English
Authors: Dostal, Leo 
Hollm, Marten  
Maki, Atsuo 
Keywords: Effective wave; First passage times; Irregular seas
Issue Date: 1-Aug-2023
Publisher: Elsevier Science
Source: Ocean Engineering 281: 114751 (2023-08-01 in press)
Abstract (english): 
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.
DOI: 10.15480/882.5146
ISSN: 0029-8018
Journal: Ocean engineering 
Institute: Mechanik und Meerestechnik M-13 
Document Type: Article
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
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