Journal of Marine Science and Technology

, Volume 24, Issue 4, pp 1029–1042 | Cite as

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

  • Peng Jin
  • Binzhen ZhouEmail author
  • Hengming Zhang
  • Lifen Chen
  • Liang ZhangEmail author
Original article


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.


Ringing Barge/wave interaction Roll motion Fully nonlinear theory Focused wave group Higher harmonic forces 



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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Copyright information

© JASNAOE 2018

Authors and Affiliations

  1. 1.College of Shipbuilding EngineeringHarbin Engineering UniversityHarbinChina
  2. 2.Centre for Offshore Foundation Systems, School of Civil Environmental and Mining EngineeringThe University of Western AustraliaPerthAustralia

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