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Domains of Parametric Roll Amplification for Different Hull Forms

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Parametric Resonance in Dynamical Systems

Abstract

A new 6-DOF nonlinear mathematical model based on Taylor-series expansions with coupling terms defined up to the third-order is introduced and validatedl for head seas parametric rolling for the case of a fishing vessel and a container vessel. Additionally, a large and deep drafted cylindrical SPAR platform is also simulated. The nonlinear algorithm is systematically simulated for different wave conditions. Parametric amplification domains (PADs) are thus obtained for the three hulls. On a comparative basis some of their main characteristics are then examined: influence of coupling, relevance of third-order coupling terms, impact of roll/roll nonlinearities, influence of wave amplitude, and initial conditions. The main differences in the PADs for the three distinct floating vessels are then interpreted and aspects of interest for the modeling and simulation of different hull forms are discussed.

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Acknowledgements

The present investigation is supported by CNPq within the STAB Project (Nonlinear Stability of Ships). The Authors also acknowledge financial support from LabOceano, CAPES, and FAPERJ.

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Authors and Affiliations

  1. LabOceano, COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

    Claudio A. Rodríguez & Marcelo A. S. Neves

Authors
  1. Claudio A. Rodríguez
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  2. Marcelo A. S. Neves
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Correspondence to Claudio A. Rodríguez .

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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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Rodríguez, C.A., Neves, M.A.S. (2012). Domains of Parametric Roll Amplification for Different Hull Forms. 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_6

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  • DOI: https://doi.org/10.1007/978-1-4614-1043-0_6

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  • Print ISBN: 978-1-4614-1042-3

  • Online ISBN: 978-1-4614-1043-0

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