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  4. Enhanced estimation method and approximation method of the PDF of roll angular acceleration and jerk in beam seas
 
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Enhanced estimation method and approximation method of the PDF of roll angular acceleration and jerk in beam seas

Publikationstyp
Journal Article
Publikationsdatum
2022-11-15
Sprache
English
Author
Maki, Atsuo 
Dostal, Leo 
Maruyama, Yuuki 
Sasa, Kenji 
Sakai, Masahiro 
Umeda, Naoya 
Institut
Mechanik und Meerestechnik M-13 
TORE-URI
http://hdl.handle.net/11420/13741
Enthalten in
Ocean engineering 
Volume
264
Article Number
112159
Citation
Ocean Engineering 264: 112159 (2022-11-15)
Publisher DOI
10.1016/j.oceaneng.2022.112159
Scopus ID
2-s2.0-85138666105
So far, the authors have established the theoretical estimation method of the Probability Density Function (PDF) of roll angular acceleration and jerk with the use of PLIM (PDF Line Integral Method), and estimations of the PDF of these properties were successfully achieved. PLIM, on the other hand, necessitates numerical integration along the complex shaped integral path. The integral path, in particular, becomes challenging in the calculation of the jerk property. However, if the restoring term is only represented by a linear component, then explicit expressions of PDF of roll angular acceleration can be obtained using the nonlinearization technique. It is noteworthy that the form of the nonlinear damping component does not constrain the applicability. This paper aims to show the derivation of the theoretical result and comparison with Monte Carlo Simulation (MCS) results. Furthermore, using the current form of the acceleration PDF, the PDF of roll angular jerk was obtained. The variance of roll angular rate determines the PDF form of the acceleration, which is the method's main advantage.
Schlagworte
Approximate solution
Excessive acceleration
Irregular beam seas
PDF Line integral method
Roll angular acceleration
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