流线型回转体外形设计综述与线型拟合

A review and mathematical formulation of shape design of streamlined bodies of revolution

综述了流线型回转体外形设计的主要方法:(1)具有精确数学表达式的几何组合外形曲线;(2)用源汇法设计回转体外形曲线;(3)用离散外形坐标型值表示的回转体线型。给出了流线型离散型值回转体线型的拟合解析表达式。这些外形设计方法与拟合解析表达式具有广泛的工程实用价值。

This paper reviews various shape design methods of streamlined bodies of revolution : (1) The shape-form curve is represented by exact mathematical formula; (2) The shape design is represented by a singularity distribution method ; and (3) The shape profile of body of revolution is represented by a table of offset. The analytic expressions of mathematical formulation are given for streamlined bodies of revolution represented by offsets, and every one of the expressions is able to fit a given shape with a good result. These shape design methods and mathematical expressions will be used widely in practical application of engineering.