首先，本文讨论船舶非线性横摇运动中非线性阻尼力矩和非线性复原力矩的数学表达形式，并建立船舶在波浪中的非线性横摇运动方程。

Firstly, mathematical expressions of nonlinear damping and nonlinear righting moment were discussed, and the equations for nonlinear rolling motions in waves were established.

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考虑非线性阻尼、非线性复原力矩和随机波浪，建立了随机横浪中船舶运动的随机非线性微分方程。

The random nonlinear differential equation of ship's motion is established considering the nonlinear damping, nonlinear recover moment and random waves.

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抛物线形缓坡方程波浪数学模型是进行大范围波浪计算的有效方法。

Wave mathematical model of parabolic gentle slope equation is an effective method for calculating waves of wide scope.

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