We investigate the nonlinear dynamics and internal resonances of a ship with a rectangular cross-section in head seas. We employ an asymptotic averaging method to obtain the slowly varying system evolution dynamics for the weakly nonlinear response, complemented by numerical integration in the strongly nonlinear regime. This combined approach resolves both parametric instabilities and internal resonances induced for both weak and finite nonlinear interactions, and culminates with criteria for orbital stability thresholds describing the onset of quasiperiodic response and magnification of energy transfer between coupled pitch-heave and ship roll that can lead to capsize.
- Ocean, Offshore and Arctic Engineering Division
Nonlinear Dynamics and Internal Resonances of a Ship With a Rectangular Cross-Section in Head Seas
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Kleiman, A, & Gottlieb, O. "Nonlinear Dynamics and Internal Resonances of a Ship With a Rectangular Cross-Section in Head Seas." Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. Volume 4: Ocean Engineering; Offshore Renewable Energy. Estoril, Portugal. June 15–20, 2008. pp. 513-522. ASME. https://doi.org/10.1115/OMAE2008-57691
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