用方向谱求解油轮横摇运动

Application of Wave Directional Spectrum to Rolling Motion of Oil Tanker

确定一阶横摇运动方程中各系数，一阶横摇干扰力矩，以及单位波面角状态下横摇幅频响应函数；将波能谱转换为波面角能谱，利用波面角方向谱计算油轮横摇时有效波面角能谱，得到任意浪向下横摇运动谱。

The coefficients and the first order rolling moment in the first order rolling motion equation and the rolling response function per unit wave front angle are obtained. The wave energy spectrum is transformed into the wavefront angle energy spectrum. By use of the wavefront angle directional spectrum, the effective wavefront angle energy spectrum is calculated for the rolling oil tanker . The rolling motion spectrum in an arbitrary direction is obtained . Finally the effect of water depth on the rolling motion spectrum of oil tanker is considered.