CAJ | 학술논문

为提高使用保角变换法绘型离心泵叶轮叶片的绘型精度和缩短计算周期,研究了在轴面投影图上前盖板流线含有两段相切圆弧的复杂条件下,沿下圆弧流线分点的计算原则与方法.以数学分析为基础,讨论了构成前盖板流线的下圆弧上第一个分点3种可能出现的位置特点,分别导出了每种可能条件下确定分点位置的超越方程.这些方程的解精确确定下圆弧第一个分点的位置,有效提高轴面流线上分点的位置精度,改善了叶片绘型的精确性和可靠性.所给方法能改变在保角变换法绘型叶片过程中,以手工在轴面上反复试运算取点及由此产生的叶片型线光滑性和连续性不够理想的状况.
위제고사용보각변환법회형리심빙협륜협편적회형정도화축단계산주기,연구료재축면투영도상전개판류선함유량단상절원호적복잡조건하,연하원호류선분점적계산원칙여방법.이수학분석위기출,토론료구성전개판류선적하원호상제일개분점3충가능출현적위치특점,분별도출료매충가능조건하학정분점위치적초월방정.저사방정적해정학학정하원호제일개분점적위치,유효제고축면류선상분점적위치정도,개선료협편회형적정학성화가고성.소급방법능개변재보각변환법회형협편과정중,이수공재축면상반복시운산취점급유차산생적협편형선광활성화련속성불구이상적상황.
In order to improve the precision in blade drawing of centrifugal pump impellers and to shorten drawing period involved in conformal transformation methods, the calculation principles and methods are studied to determine the locations of dividing points along streamline when the front shroud streamline on meridional plane comprises two arcs tangential to each other. Based on mathematical analysis, 3 possible locations of the first point on the lower arc which is a part of the front meridional streamline were described, and 3 tranncendental equations suitable to each case were derived.The solutions to these equations will determine the accurate locations of first point on lower arc and improve the shape of blade contours.The principles and methods presented here will alter the traditional manual way in blade drawing process and the resulting poor continuity and smoothness of blade contours.