Estimation of Nonlinear Roll Damping by Analytical Approximation of Experimental Free-Decay Amplitudes

  • Jinwei Sun
  • Meng ShaoEmail author


Damping is critical for the roll motion response of a ship in waves. A common method for the assessment of damping in a ship’s rolling motion is to perform a free-decay experiment in calm water. In this paper, we propose an approach for estimating nonlinear damping that involves a linear exponential analytical approximation of the experimental roll free-decay amplitudes, followed by parametric identification based on the asymptotic method. The restoring moment can be strongly nonlinear. To validate this method, we first analyzed numerically simulated roll free-decay data using rolling equations with two alternative parametric forms: linear-plus-quadratic and linear-plus-cubic damping. By doing so, we obtained accurate estimates of nonlinear damping coefficients, even for large initial roll amplitudes. Then, we applied the proposed method to real free-decay data obtained from a scale model of a bulk barrier, and found the simulated results to be in good agreement with the experimental data. Using only free-decay peak data, the proposed method can be used to estimate nonlinear roll-damping coefficients for conditions with a strongly nonlinear restoring moment and large initial roll amplitudes.

Key words

nonlinear roll damping parametric identification nonlinear restoring moment asymptotic method linear exponential approximation 


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The authors gratefully acknowledge support from the National Natural Science Foundation of China (No. 5160 9224), the Major Program of National Natural Science Foundation of China (No. 51490675), and the Fundamental Research Funds for the Central Universities (No. 201513056).


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Copyright information

© Science Press, Ocean University of China and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of EngineeringOcean University of ChinaQingdaoChina
  2. 2.Key Laboratory of Ocean Engineering of Shandong ProvinceOcean University of ChinaQingdaoChina
  3. 3.Institute of Oceanographic InstrumentationQilu University of Technology (Shandong Academy of Sciences)QingdaoChina
  4. 4.Shandong Provincial Key Laboratory of Ocean Environmental Monitoring TechnologyQingdaoChina
  5. 5.National Engineering and Technological Research Center of Marine Monitoring EquipmentQingdaoChina

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