![]() An experimental study of nonlinear behavior in roll and capsize. Applied Ocean Research, 17: 217–224.Ĭotton, B., and Spyrou, K. Estimation of nonlinear damping coefficients from large-amplitude ship rolling motions. Empirical calculation of roll damping for ships and barges. On damping models in free and forced rolling motion. ![]() International Shipbuilding Progress, 51: 5–32.Ĭardo, A., Francescutto, A., and Nabergoj, A., 1982. Estimation of nonlinear roll decay parameters using an analytical approximate solution of decay time history. Gordon & Breach, Science Publishers, New York, 504pp.īulian, G., 2004. Asymptotic Methods in the Theory of Nonlinear Oscillations. John Wiley & Sons Inc., New Jersey, 498pp.īogoliubov, N. International Shipbuilding Progress, 35: 5–24.īhattacharyya, R., 1987. ![]() International Towing Tank Conference, Rio de janeiro, Brazil, 548–549.īass, D. Recommended procedures-numerical estimation of roll damping. 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.Ģ6th ITTC Specialist Committee on Stability in Waves, 2011. 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. By doing so, we obtained accurate estimates of nonlinear damping coefficients, even for large initial roll amplitudes. 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. The restoring moment can be strongly nonlinear. 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. A common method for the assessment of damping in a ship’s rolling motion is to perform a free-decay experiment in calm water. Damping is critical for the roll motion response of a ship in waves.
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