Abstract
Parametric resonance can lead to dangerously large rolling motions, endangering the ship, cargo and crew. The QR-factorization method for calculating (LCEs) Lyapunov Characteristic Exponents was introduced; parametric resonance stability of ships in longitudinal waves was then analyzed using LCEs. Then the safe and unsafe regions of target ships were then identified. The results showed that this method can be used to analyze ship stability and to accurately identify safe and unsafe operating conditions for a ship in longitudinal waves.
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Kai-ye Hu was born in 1980. He is a lecturer at Harbin Engineering University. His current research interests include nonlinear dynamic of ships, seakeeping, etc.
Yong Ding was born in 1959. He is a professor at Harbin Engineering University. His current research interests include stability of ships, ship seakeeping. etc.
Hong-wei Wang was born in 1979. She is a lecturer at Harbin Engineering University. Her current research interests include mooring system design and analysis, nonlinear dynamics, etc.
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Hu, Ky., Ding, Y. & Wang, Hw. Chaotic roll motions of ships in regular longitudinal waves. J. Marine. Sci. Appl. 9, 208–212 (2010). https://doi.org/10.1007/s11804-010-9072-2
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DOI: https://doi.org/10.1007/s11804-010-9072-2