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Numerical Computation of Parametric Induced Roll Motions in Random Seas
Publikationstyp
Journal Article
Date Issued
2009-12
Sprache
English
Author(s)
Institut
Volume
9
Issue
1
Start Page
555
End Page
556
Citation
Proceedings in applied mathematics and mechanics 9 (1): 555-556 (2009-12)
Publisher DOI
For a vessel in open seas, the sudden appearance of roll motions due to waves from the front or rear leads to dangerous situations up to capsizing. The equations of motion used to analyze the roll motion include the righting lever curve. This curve is set up by means of hydrostatic calculations and approximated by polynomials for further analysis. The irregular waves are modeled in terms of a continuous-time ARMA process. The resulting model of stochastic differential equations is investigated numerically by Local Statistical Linearization. The necessary stochastic moments and their derivatives are computed using Itô's differential rule and Gaussian closure.