Dostal, LeoLeoDostalKreuzer, EdwinEdwinKreuzer2021-11-232021-11-232009-12Proceedings in applied mathematics and mechanics 9 (1): 555-556 (2009-12)http://hdl.handle.net/11420/11045For 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.en1617-706120091555556Journal Article10.1002/pamm.200910250Other