关键词: 非均匀有理B样条曲线曲面, 几何参数化, 外形优化, 遗传算法

Abstract: NURBS（Non-Uniform Rational B-Splines） curves and surfaces are applied to realize shape parameterization and generate exact geometrical representation for blunt cone head and blunt double-cone missile.Using control points of NURBS curves as parameter，and computing coefficients of aerodynamic forces by hypersonic panel method，aerodynamic shape optimization is then performed with genetic algorithms under known constraints.The results indicate that：it’s a rapid and convenient way to get optimal shape by combination of the methods of NURBS and optimization；compared to the way of conic shape parameter，it is more flexible to control shape，and it’s able to modify the local shape of head curve by NURBS.Therefore，it’s of great practical significance and applicable value to develop the system of optimization and design based on NURBS.

Key words: Non-Uniform Rational B-Splines（NURBS） curves and surfaces, geometry parameterization, shape optimization, genetic algorithm