船体首部曲面的数学解析描述  

Mathematical expression for curved surface of stem

作　　者：刘玉君[1] 戴寅生[1] 阳明盛[2] 

机构地区：[1]大连理工大学船舶工程系 [2]大连理工大学应用数学系

出　　处：《大连理工大学学报》1992年第3期321-328,共8页Journal of Dalian University of Technology

摘　　要：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。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.

关 键 词：船体 表面 拟合 数学模型 首部曲面 

分 类 号：U663.5[交通运输工程—船舶及航道工程]