飞艇外型设计中曲线参数化方法的比较  

Comparisons of Curve Parameterization Methods in Airship Hull Design

作　　者：张海军[1] 郭雪岩[1] 戴韧[1] 

机构地区：[1]上海理工大学能源与动力工程学院,上海200093

出　　处：《力学季刊》2011年第4期634-639,共6页Chinese Quarterly of Mechanics

基　　金：上海市教委重点学科(J50501)

摘　　要：采用合适的参数化方法快速准确地描述优化前后的几何结构是形状和气动性能优化问题的前提。目前常用的曲线参数化基本方法有三种:Bezier,B-spline和NURBS曲线。参数化曲线拟合的关键是从已知形状反求控制点的信息,本文综合对比了三种不同参数化方法关于飞艇外形拟合性能的差异。结果表明,与其它两种曲线参数化方法相比,NURBS曲线使用较少的控制点,可以达到高精度、高效率的拟合。The premise of shape optimization problems is picking up an appropriate parameterization method which can describe the known structures accurately and quickly.There are three parametric methods： Bezier,B-spline and NURBS（Non-Uniform Rational B-splines）.The key element of parametric curve fitting is to obtain the control point information.After a comprehensive comparison of three parameterization methods,the results are shown that the airship shape hull is rapidly and accurately fitted by NURBS with less control points.

关 键 词：BEZIER曲线 有理样条曲线 非一致有理样条曲线 梯度法 曲线拟合 平流层飞艇外形 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]