Abstract Simulation of a ship's roll motion through equation-based approaches requires restoring moment, added mass moment of inertia and damping coefficients. Accurate estimation of these coefficients enhances the prediction of ship roll response at a resonance condition. However, the magnitude of these coefficients in regular beam seas and close to a resonance condition is unknown. The present study adopts numerical and experimental simulations to investigate the effects of different wave heights and wave frequencies on ship motion characteristics. The motion characteristics results from numerical simulations are compared against experimental measurements, and a good correlation is achieved. The restoring moment in dynamic conditions is calculated and compared to the hydrostatic restoring moment. The dynamic restoring moment is greater than the hydrostatic restoring moment for some wave frequencies and smaller for other wave frequencies. The magnitudes of roll damping and added mass moment of inertia coefficients are calculated at different wave heights and frequencies, and the results yield that there is quite a nonlinear relationship between the roll hydrodynamic coefficients and roll motion characteristics.

中文翻译：

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规则波束波中船舶横摇水动力系数的计算

摘要 通过基于方程的方法模拟船舶的横摇运动需要恢复力矩、附加质量惯性矩和阻尼系数。这些系数的准确估计增强了对共振条件下船舶横摇响应的预测。然而，这些系数在规则波束海和接近共振条件下的大小是未知的。本研究采用数值模拟和实验模拟来研究不同波浪高度和波浪频率对船舶运动特性的影响。将数值模拟的运动特性结果与实验测量结果进行比较，并获得了良好的相关性。计算动态条件下的恢复力矩并将其与静压恢复力矩进行比较。对于某些波频，动态恢复力矩大于静水恢复力矩，而对于其他波频则较小。在不同的波高和频率下计算横摇阻尼和附加质量惯性矩系数的大小，结果表明横摇水动力系数与横摇运动特性之间存在相当非线性关系。