中国机械工程Issue(22)：3017-3021,5.DOI:10.3969/j.issn.1004-132X.2014.22.007
基于移动最小二乘法的渐开线齿轮齿廓曲线拟合方法
Fitting Method of Tooth Profile Curve for Involute Cylindrical Gears Based on MLS
摘要
Abstract
Aiming at the problem of low precision for fitting method of profile curve of involutegears ,the MLS was used to fit tooth profile curve and was validated by an example about the calculationof pitch deviation .At the beginning ,CMM was used to measure a gear and the measured data aswell as the pitch deviation were exported after the test .And then ,with the principle of MLS methodand the measured data ,the profile curve was obtained by MATLAB .At last ,the MLS fitting methodwas used to fit the profile curve .By contrasting with the fitting results of least square ,MLS methodused to fit profile curve can get higher precision and smaller error .The calculation results of toothpitch deviation show that :both the individual circular pitch errors and the total cumulative pitch errorsagree with the experimental ones ,and the MLS method has been proved to be accurate and efficient ,which can provide a kind of beneficial reference for the calculation of tooth pitch deviation and fittingof tooth profile curves .关键词
渐开线齿轮/移动最小二乘法/曲线拟合/齿距偏差/三坐标测量机Key words
involute gear/moving least square(MLS)/profile fitting/pitch deviation/coordinate measuring machine(CMM )分类
机械制造引用本文复制引用
孙永厚,肖威,黄美发,胡汝凯..基于移动最小二乘法的渐开线齿轮齿廓曲线拟合方法[J].中国机械工程,2014,(22):3017-3021,5.基金项目
国家自然科学基金资助项目（50865003）；广西制造系统与先进制造技术重点实验室主任课题 （）
