Improved stochastic averaging method using Hamiltonian for parametric rolling in irregular longitudinal waves

Publikationstyp
Journal Article
Date Issued
2022-03
Sprache
English
Author(s)
Maruyama, Yuuki  
Maki, Atsuo  
Dostal, Leo  
Umeda, Naoya  
Institut
Mechanik und Meerestechnik M-13  
TORE-URI
http://hdl.handle.net/11420/9696
Journal
Journal of marine science and technology  
Volume
27
Issue
1
Start Page
186
End Page
202
Citation
Journal of Marine Science and Technology 27 (1) 186-202 (2022-03)
Publisher DOI
10.1007/s00773-021-00824-y
Scopus ID
2-s2.0-85106420060
Publisher
Springer
Using the stochastic averaging method, the probability density function (PDF) of roll motion for parametric rolling in irregular waves is obtained. In this paper, the stochastic averaging method using Hamiltonian proposed by Dostal is used, and the PDF of roll amplitude and Hamiltonian are derived from the equations of roll motion. In addition, the asymptotic behavior of PDF is investigated to improve the accuracy of the calculation. Furthermore, to improve the applicability of this method, the simulation-based stochastic method is proposed. Compared to the results of the stochastic averaging method proposed by Roberts and Dostal, the results using this improved method show a good agreement. The results are examined for parametric excitation using white noise as well as colored noise. Moreover, the relationship between the scale parameter and the PDF is theoretically analyzed and formulated.
Subjects
Hamiltonian
Irregular waves
Parametric rolling
Stochastic averaging