船艏UV度对参数横摇薄弱性的影响

[目的]以船艏UV度为对象探究其对参数横摇薄弱性的影响。[方法]选取集装箱船、渔政船和渔船这3种不同类型的船舶为母型船,应用自由曲面变换(free-form deformation,FFD)法,改变母型船艏部UV度,生成3个系列共15艘新船型,采用本课题组前期开发的参数横摇薄弱性校核程序对该系列船型进行参数横摇薄弱性计算,并对计算结果进行分析。[结果]结果显示,船艏型线由V型向U型变化时船舶参数横摇薄弱性变好。[结论]所做研究可为参数横摇薄弱性衡准在国内的推广应用提供技术依据,也可为船体型线设计提供参考。

Classification of hypersurfaces with constant Laguerre eigenvalues in R^n

Let x:M → Rn be an umbilical free hypersurface with non-zero principal curvatures.Then x is associated with a Laguerre metric g,a Laguerre tensor L,a Laguerre form C,and a Laguerre second fundamental form B,which are invariants of x under Laguerre transformation group.An eigenvalue of Laguerre tensor L of x is called a Laguerre eigenvalue of x.In this paper,we classify all oriented hypersurfaces with constant Laguerre eigenvalues and vanishing Laguerre form.