子午流道Bézier曲线造型中的几何问题  被引量:12

SOLUTIONS OF PROBLEMS IN GEOMETRIC DESIGN OF MERIDIONAL CHANNEL IN TERMS OF B■ZIER CURVES

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作  者:陈宏冀[1] 

机构地区:[1]中国科学院工程热物理研究所,北京100080

出  处:《工程热物理学报》1997年第4期445-449,共5页Journal of Engineering Thermophysics

摘  要:本文首先分析了与Bézier曲线自由度有关的问题.在此基础上提出了用五点四次Bézier曲线进行离心压气机一段子午流道造型的一种方法,它充分利用曲线自由度来满足气动和结构的要求,包括曲线端点处的曲率,同时仍有一定程度上调控曲线形状的余地.对用Bézier曲线构造的子午沈道提出了一种好用的求流道宽度(即作内切圆)的数值方法.At first in this paper some problems relating to the freedoms of Bezier curves are discussed. On this basis a method of the geometry definition by use of the Bezier curves of degree 4 for a section of the meridional channel in centrifugal compressors is presented, with which the freedoms of the curves are fully utilized for fulfilling the requirements in aerodynamics and construction, including the curvatures of the curves at the end points, and the shape of curves still have certain latitude to be adjusted. For finding the widths (i. e.the inscribed circles) of the meridional channels constructed by Bezier curves3 a numerical method which is good to use is presented.

关 键 词:子午流道 造型 BEZIER曲线 离心压气机 

分 类 号:TH452.02[机械工程—机械制造及自动化]

 

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