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Non-stationary probability of parametric roll of ships in random seas
Publikationstyp
Conference Paper
Date Issued
2013
Sprache
English
Author(s)
Institut
TORE-URI
Start Page
772
End Page
780
Citation
Marine 2013 : computational methods in marine engineering V ; proceedings of the V International Conference on Computational Methods in Marine Engineering, held in Hamburg, Germany, 29 - 31 May 2013 / CIMNE. Birgitt Brinkmann ... (ed.). - 1. ed. - Barcelona : Internat. Center for Numerical Methods in Engineering, 2013. - Seite 772-780
Contribution to Conference
Publisher
Internat. Center for Numerical Methods in Engineering
We analyze the problem of parametric roll in random seas, where the random wave excitation is modeled by anon-white stationary stochastic process. This process is derived from a spectral description of the random seaway using a traveling effective wave. The method of stochastic averaging is applied, such that the fast oscillatory dynamics of roll is averaged over the roll period. This procedure yields equations for the drift and diffusion of the roll energy. With these equations the non-stationary probability density of roll energy is obtained by solving the corresponding Fokker-Planck equation using a finite difference approach. The results can be used to improve ship hull design as well as for controller design to encounter the occurrence of parametric roll resonance.
Subjects
Parametric roll
Random seas
Ship dynamics
DDC Class
600: Technik
620: Ingenieurwissenschaften