Abstract
Dam** is critical for the roll motion response of a ship in waves. A common method for the assessment of dam** 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 dam** 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 dam**. By doing so, we obtained accurate estimates of nonlinear dam** 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-dam** coefficients for conditions with a strongly nonlinear restoring moment and large initial roll amplitudes.
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Acknowledgements
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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Sun, J., Shao, M. Estimation of Nonlinear Roll Dam** by Analytical Approximation of Experimental Free-Decay Amplitudes. J. Ocean Univ. China 18, 812–822 (2019). https://doi.org/10.1007/s11802-019-3912-8
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DOI: https://doi.org/10.1007/s11802-019-3912-8