Lyapunov function based criteria for ship rolling in random beam seas

• Autorzy: Üçer Erdem

Identyfikatory

DOI

10.2478/pomr-2019-0040

• Języki publikacji: EN

Abstrakty

EN

The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced. The random wave excitation is described by a spectrum which is depended on the wave energy spectrum and the amplitude of the moment of roll. This spectrum is generated by a second order linear filter. Second, the methodology of creating a Lyapunov function is explained briefly. Then, there is outlined the way by which Lyapunov function can be used as the intact stability criterion for a ship. The proposed criterion is derived by considering the weather criteria for German naval vessels. Finally, the coherence of the boundary of safe basin obtained by Lyapunov function with the numerical results obtained by Euler-Maruyama Method is presented. From the results it can be deduced that the Lyapunov function can be used to define an intact stability criterion.

Słowa kluczowe

EN

random beam sea; wave energy spectrum; Lyapunov function; intact stability criterion

• Wydawca: Gdańsk University of Technology, Faculty of Ocean Engineering & Ship Technology
• Czasopismo: Polish Maritime Research
• Rocznik: 2019
• Tom: nr 3
• Strony: 6--14
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Üçer Erdem

• Istanbul Technical University Faculty of Naval Architecture and Ocean Engineering Ayazaga Campus, 34469 Istanbul, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).