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Ringing of the roll motion of a two-dimensional barge in focused wave groups

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Abstract

The ringing of a floating barge’s roll motion under focused wave groups is studied using a fully nonlinear method in a numerical wave tank based on the potential flow theory. The higher order boundary element method (HOBEM) is used to solve the boundary value problem. The mixed Eulerian–Lagrangian (MEL) technique and the fourth-order Runge–Kutta time stepping scheme is used to simulate the interaction between the floating barge and focused wave groups. As the peak spectra frequency is set as one-third of the natural frequency of the barge’s roll motion, the influence of the peak wave amplitude of the incident focused wave groups on the roll response of the barge and wave loads is studied. The third-order components are found to be significant in both roll motion and moment as the incident peak wave amplitude increases. Relationship between the roll response of the barge and the peak spectrum frequency of the incident focused wave groups is also studied. The peak of the third-order roll response of the barge is found to decrease greatly as the triple peak spectral frequency deviates from the roll natural frequency.

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Acknowledgements

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (51409066, 51761135013), the High Technology Ship Scientific Research Project from Ministry of Industry and Information Technology of the People’s Republic of China-Floating Security Platform Project (the second stage, 201622), the Fundamental Research Fund for the Central University (HEUCF180104, HEUCFP201809), the China Scholarship Council (the International Clean Energy Talent Programme, 2017). This work is also supported by the Lloyd’s Register Foundation (LRF) through the joint centre involving University College London, Shanghai Jiaotong University and Harbin Engineering University. The LRF helps to protect life and property by supporting engineering-related education, public engagement and the application of research.

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China

    Peng Jin, Binzhen Zhou, Hengming Zhang & Liang Zhang

  2. Centre for Offshore Foundation Systems, School of Civil Environmental and Mining Engineering, The University of Western Australia, Perth, Australia

    Lifen Chen

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  1. Peng Jin
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  2. Binzhen Zhou
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  3. Hengming Zhang
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  4. Lifen Chen
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  5. Liang Zhang
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Correspondence to Binzhen Zhou or Liang Zhang.

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Jin, P., Zhou, B., Zhang, H. et al. Ringing of the roll motion of a two-dimensional barge in focused wave groups. J Mar Sci Technol 24, 1029–1042 (2019). https://doi.org/10.1007/s00773-018-0602-y

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  • DOI: https://doi.org/10.1007/s00773-018-0602-y

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