期刊文献+

基于移动最小二乘法的渐开线齿轮齿廓曲线拟合方法 被引量:8

Fitting Method of Tooth Profile Curve for Involute Cylindrical Gears Based on MLS
下载PDF
导出
摘要 针对现有渐开线齿轮齿廓曲线拟合方法精度不高的缺点,提出了一种用移动最小二乘法(MLS)拟合齿廓曲线的新方法,并通过齿距偏差的计算对该方法进行了实例验证。利用三坐标测量机对某齿轮进行测量,得到齿廓数据点和齿距偏差;根据移动最小二乘法原理和实验数据,用MATLAB编程实现了齿廓曲线的拟合;根据拟合结果,利用图解法计算出了左齿廓齿距偏差。与最小二乘法(LS)的拟合结果的对比表明,用移动最小二乘法拟合齿廓曲线精度更高,误差更小,具有良好的拟合效果。齿距偏差计算结果表明,单个齿距偏差和齿距累积偏差与实测值一致,表明该方法准确、有效。研究结果可为齿廓曲线的拟合和齿距偏差的计算提供参考。 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 .
出处 《中国机械工程》 EI CAS CSCD 北大核心 2014年第22期3017-3021,共5页 China Mechanical Engineering
基金 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(桂科能11-031-12_004)
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 involute gear moving least square(MLS) profile fitting pitch deviation coordinate measuring machine(CMM)
  • 相关文献

参考文献7

二级参考文献34

  • 1顾元通,丁桦.无网格法及其最新进展[J].力学进展,2005,35(3):323-337. 被引量:40
  • 2左传伟,聂玉峰,赵美玲.移动最小二乘方法中影响半径的选取[J].工程数学学报,2005,22(5):833-838. 被引量:17
  • 3程玉民,彭妙娟,李九红.复变量移动最小二乘法及其应用[J].力学学报,2005,37(6):719-723. 被引量:41
  • 4黄潼年.齿轮动态全误差曲线及其测量方法[J].中国科学,1973,4:434-453.
  • 5姚福生 石照耀 张兆龙 等.中国特色的齿轮测量——齿轮整体误差测量技术[A].中国工程院.中国科学技术前沿[C].上海:上海教育出版社,1997..
  • 6谢华锟.国外齿轮测量和齿轮量仪概况[A]..国外机械工业基本情况参考资料——刀具量具量仪[C].北京:第一机械工业部科学技术情报研究所,1979.170~204.
  • 7Steinle A. New gear testers [ J ]. Werkstattstechnik,1927, (21): 153--156.
  • 8Hultzsch E. History and development of technical precision measuring instruments at Carl Zeiss Jena [J].Jena Review, 1967, (12): 268--284.
  • 9Munro R G. Measuring gear transmission error[ J ].Metalworking Production, May 29, 1968:5457.
  • 10Cleave D V. Big gears are accurately measured with computer-controlled system[J]. Product Engineering,Nov.23, 1970:4243.

共引文献150

同被引文献70

引证文献8

二级引证文献15

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部