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

Author

Maki, Atsuo, Maruyama, Yuuki, Liu, Yaliu, and Dostal, Leo

Subjects
Physics - Applied Physics, Mathematics - Dynamical Systems, Mathematics - Probability
Abstract

Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). A number of theoretical studies have been performed to estimate the occurrence condition of parametric rolling in both regular and irregular seas. Some studies in random wave conditions have been the approximate extension of the occurrence conditions for regular waves (e.g. Maki et al). Furthermore, several researches have been based on the stochastic process in ocean engineering (Roberts and Dostal). This study tackled the parametric rolling in irregular seas from the stability of the system's origin. It provided a novel theoretical explanation of the instability mechanism for two cases: white noise parametric excitation and colored noise parametric excitation. The authors then confirmed the usefulness of the previously provided formulae by Roberts and Dostal through numerical examples., Comment: 10 pages, 4 figures

Published
2023

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

Author

Maki, Atsuo, Maruyama, Yuuki, Liu, Yaliu, Dostal, Leo, Maki, Atsuo, Maruyama, Yuuki, Liu, Yaliu, and Dostal, Leo

Abstract

The version of record of this article, first published in Journal of Marine Science and Technology (Japan), is available online at Publisher’s website: https://doi.org/10.1007/s00773-024-00999-0., 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.

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