The aim of this work is to analyze the influence of a nonconstant ship speed on the onset and development of the parametric roll resonance. A 2-DOF nonlinear surge-roll model is set up and analyzed. Perturbation methods are also applied to evaluate the influence of dynamic variations of surge velocity on the onset of parametric roll. The theoretical results are illustrated and validated using a 4-DOF hydrodynamic and control theory model.
Stability Analysis of the Parametric Roll Resonance Under Non-Constant Ship Speed
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Galeazzi, R, Vidic-Perunovic, J, Blanke, M, & Jensen, JJ. "Stability Analysis of the Parametric Roll Resonance Under Non-Constant Ship Speed." Proceedings of the ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. Volume 2: Automotive Systems; Bioengineering and Biomedical Technology; Computational Mechanics; Controls; Dynamical Systems. Haifa, Israel. July 7–9, 2008. pp. 743-750. ASME. https://doi.org/10.1115/ESDA2008-59453
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