基于UG曲线光顺拟合二次开发算法  

The Secondary Development of Fairing and Fitting Algorithm of the Curve Based on UG

作　　者：孙连邦[1] 周燕飞[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《机械科学与技术》2013年第8期1167-1171,共5页Mechanical Science and Technology for Aerospace Engineering

摘　　要：为了解决涡轮叶片曲面不光顺而造成的数控加工刀轨生成失败的问题,本文针对叶片曲面截面线进行光顺拟合,提出了一种三次非均匀B样条曲线整体光顺逼近算法。该算法建立了一个由最小二乘法、型值点曲率和、型值点曲率变化和三项组成的目标函数,并利用高斯消元法求出最优控制顶点坐标序列。该算法可以使曲线在给定的逼近误差范围内,实现型值点曲率和降低的同时,曲率变化也更加均匀。最后将算法程序嵌入UG5.0二次开发程序中实现自动光顺拟合模块的开发,并通过与已存在的算法进行光顺效果对比实验,验证了本文算法更有效。In order to solve the problem of failing blade surface, this paper presented a whole fairing to generate the NC tool path caused by the poor quality of turbine and approximation algorithm of cubic Non-Uniform B-Spline curve to realize the fairing and fitting of blade surface＇s section line. The algorithm constructed an objective function com- posed of least square, sum of curvature and sum of curvature varieties on data points, obtained a series of the best control points by using the Gaussian elimination method. Besides, this algorithm can reduce the sum of curvature on data points as well as make the curvature varieties on data points more equable within the given approximation errors. In the end, this algorithm program was embedded in the UG5.0 secondary development program to develop automatic fairing and fitting module, and was proven to be more effective than existing algorithm by experiments.

关 键 词：光顺 非均匀B样条 算法 涡轮叶片 逼近误差 

分 类 号：TH164[机械工程—机械制造及自动化]