Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motion

Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the parametric rolling in irregular seas is examined in this paper based on the stability of the systems origin, which corresponds to the upright condition of the vessel. It provides a novel theoretical explanation of the instability mechanism for two cases: white-noise parametric excitation and colored-noise parametric excitation. Moreover, the authors confirm the usefulness of the previously provided formulae by Roberts and Dostal by means of numerical examples.

Subjects

Irregular seas

Lyapunov exponent

Parametric rolling

Stochastic differential equation

DDC Class

620: Engineering

Lizenz

https://creativecommons.org/licenses/by/4.0/

Name

s00773-024-00999-0.pdf

Type

Main Article

Size

2.53 MB

Format

Adobe PDF

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Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motion