船体首部曲面的数学解析描述

应用数值分析和计算几何理论，根据船体首部线型特点，建立首柱轮廓线数学模型；计算水线首圆弧圆心、半径和切点，确定首圆弧半径线；给出首部曲面的通用方程式。在此基础上，求出首圆弧空间切点线和甲板边线的修正段。实船计算结果表明：线型正确，算法精确。

Mathematical expression for curved surface of stem

Applying theories of numerical analysis and higher geometry, the corresponding mathematical model of stem line is established according to different stems. Whereby, the centers, radii of the arc and its tangent points with the water-line can be found and the curve of arc radius is thus determined. A general formula for expressing stem curved surface is introduced. The locus of space tangent point and the arc segment of deck at side are obtained based on the above conditions. The calculated results for real ships show that stem-shape lines and these methods are accurate enough.