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Detection of Parametric Roll for Ships

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Parametric Resonance in Dynamical Systems

Abstract

Recent years have shown several incidents with dramatic damage on container vessels caused by parametric resonance. When the resonance starts, the roll oscillation at a sub-harmonic frequency of the wave excitation may be completely unexpected. Timely warning about the onset of the resonance phenomenon could make the navigator to change ship’s speed and heading, and these remedial actions could make the vessel escape the bifurcation. This chapter proposes nonparametric methods to detect the onset of parametric roll resonance. Theoretical conditions for parametric resonance are re-visited and signal-based methods are developed to detect its onset. Hypothesis testing is derived for the particular distribution of the indicators for resonance. Robustness is investigated by analyzing forced roll and disturbances in real weather conditions. The performance of the novel methods is demonstrated on experimental data from towing tank tests and data from a container ship passing an Atlantic storm.

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Notes

  1. 1.

    http://www.amarcon.com

  2. 2.

    The terminology irregular wave scenario means that the wave motion used to excite the vessel is generated by the interference of multiple sinusoidal waves centered at different frequencies, and it is described by a given power spectrum. This terminology is used in opposition to the regular wave scenario where instead the vessel is excited by a single sinusoidal wave.

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Acknowledgements

The authors are grateful for financial support from DTU for the Proof of Concept project PAROLL. The invaluable collaboration and comments from Dr. G. Storhaug and colleagues from Det Norske Veritas are gratefully acknowledged, and so is the inspiring collaboration and discussions with colleagues at the CeSOS center of excellence at NTNU. Data from model tests were kindly provided by Dr. Perez (formerly CeSOS, NTNU now Univ. of Newcastle, AUS) and Dr. Storhaug, DNV. Data from the Atlantic passage were logged by M. Blanke in the 1980s and are presented here with the permission from the owner, Maersk Lines. The help received from Mr. T. Krarup Sørensen from Maersk and the officers and crew of Clara Maersk in organizing and conducting the sea tests are much appreciated.

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Authors and Affiliations

  1. Department of Electrical Engineering, Technical University of Denmark, DTU Electrical Engineering, DK 2800, Kgs. Lyngby, Denmark

    Roberto Galeazzi & Mogens Blanke

  2. Center for Ships and Ocean Structures, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway

    Roberto Galeazzi & Mogens Blanke

  3. Department of Electrical Engineering, Technical University of Denmark, DTU Informatics, 2800, Lyngby, Denmark

    Niels K. Poulsen

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  1. Roberto Galeazzi
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  2. Mogens Blanke
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  3. Niels K. Poulsen
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Correspondence to Roberto Galeazzi .

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Editors and Affiliations

  1. , Department of Engineering Cybernetics, Norwegian University of Science and Tech, Trondheim, 7491, Norway

    Thor I. Fossen

  2. Dynamics and Control Group, Techn. Univ. Eindhoven, Den Dolech 2, Eindhoven, 5600 MB, The Netherlands

    Henk Nijmeijer

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Galeazzi, R., Blanke, M., Poulsen, N.K. (2012). Detection of Parametric Roll for Ships. In: Fossen, T., Nijmeijer, H. (eds) Parametric Resonance in Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1043-0_2

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  • DOI: https://doi.org/10.1007/978-1-4614-1043-0_2

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