杜月中,闵健,郭字洲.流线型回转体外形设计综述与线型拟合[J].声学技术,2004,(2):93~97,101 |
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 |
投稿时间:2003-12-18 修订日期:2004-03-20 |
DOI: |
中文关键词: 流线型回转体 外形设计 拟合 |
英文关键词: streamlined body of revolution shape design mathematical formulation noise |
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中文摘要: |
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。 |
英文摘要: |
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. |
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