虑及计值范围的1级齿轮渐开线样板精密成型  

Precision forming for class-1 gear involute artefact considering the evaluation range

作　　者：凌明 凌四营[1,2] 刘祥生 杨洋 王立鼎[1,2] Ling Ming;Ling Siying;Liu Xiangsheng;Yang Yang;Wang Liding(Key Laboratory for Micro/Nano Technology and System of Liaoning Province,Dalian University of Technology,Dalian 116023,China;Key Laboratory for Precision&Non-traditional Machining of Ministry of Education,Dalian University of Technology,Dalian 116023,China)

机构地区：[1]大连理工大学微纳米技术及系统辽宁省重点实验室,大连116023 [2]大连理工大学精密与特种加工教育部重点实验室,大连116023

出　　处：《仪器仪表学报》2021年第11期35-44,共10页Chinese Journal of Scientific Instrument

基　　金：国家重点研发计划(2018YFB2001400);国家自然科学基金(5207052737);产业技术基础公共服务平台(2020-0095-3-1)项目资助。

摘　　要：齿轮渐开线样板是渐开线齿轮齿廓偏差溯源与量值传递的基准,是校准各种渐开线测量仪器的标准计量器具,但是目前国内外没有满足我国齿轮渐开线样板国家标准GB/T 6467-2010要求的1级齿轮渐开线样板。1级齿轮渐开线样板对计值范围和齿廓形状偏差要求极为严格,齿根部非计值范围内的齿面弧长仅0.1 mm左右,极易受加工误差影响,导致齿根部加工根切或加工不完整,使齿轮渐开线样板的齿根部齿廓形状偏差超差。本文建立了起始展开角误差与齿轮渐开线样板齿根部齿廓偏差映射关系的数学模型,分析了齿根部齿廓形状偏差超差的原因,通过Siemens NX运动仿真和CAD仿真对模型进行了验证,并提出一种渐次加工的齿轮渐开线样板齿根部工艺,利用该工艺对一件具有3种基圆参数的新型齿轮渐开线样板进行了磨削实验,4个齿面均满足在计值范围内齿廓形状偏差f_(fα)<1μm,满足我国齿轮渐开线样板国家标准GB/T 6467-2010对1级齿轮渐开线样板计值范围和齿廓形状偏差的要求,研究成果为1级齿轮渐开线样板的精密制造提供了工艺方法的支持。The gear involute artefact(GIA)is the benchmark for the trace of involute gear profile deviation and the value-transmission of involute profile.It is the standard for calibrating the instruments for measuring gear involute profile.However,there is no class-1 GIA that can meet Chinese national standard of GIA GB/T 6467-2010 at present.Requirements of the evaluation range and profile form deviation of class-1 GIA are extremely strict.The arc length within the non-evaluation range of the tooth root is only about 0.1 mm,which is easy to be affected by the machining error.It may result in undercutting or incomplete machining of the tooth root.Then,the tolerance of profile form deviation is exceeded.In this article,the mathematical model of the relationship between the initial rolling angle error and the involute profile deviation at the tooth root is formulated.The reason for the out of tolerance of the profile form deviation at the tooth root is analyzed,and the model is verified by the Siemens NX motion simulation and CAD simulation.Based on the above model,a machining method for tooth root at GIA with gradually modified is proposed,and a new kind of GIA with three base circle parameters is processed by the proposed method.The profile form deviations f_(fα)<1μm within the evaluation range of four teeth are processed,which meets the requirements of Chinese national standard of GIA GB/T 6467-2010 for the evaluation range and the profile form deviation of class-1 GIA.This research provides a process method support for the precision manufacturing of class-1 GIA.

关 键 词：齿轮渐开线样板 渐开线齿廓偏差 磨齿工艺 精密加工 

分 类 号：TH161[机械工程—机械制造及自动化] TG616[金属学及工艺—金属切削加工及机床]