基于渐开线分析的可转位齿轮滚刀磨削数学模型构建及磨削方法  

Construction of Mathematics Model and Grinding Method of Indexable Gear Hob Grinding Based on Involute Analysis

作　　者：袁浩[1] 王恒[1] 杨献春 靳鑫 周一波 庞明勇[3] Yuan Hao;Wang Heng;Yang Xianchun;Jin Xin;Zhou Yibo;Pang Mingyong(School of Mechanical Engineering,Jiangsu University,Zhenjiang Jiangsu 212013,China;Jiangsu Weize Intelligent Technology Co.,LTD,Changzhou Jiangsu 213333,China;Institute of Educational Information Engineering,Nanjing Normal University,Nanjing Jiangsu 210023,China)

机构地区：[1]江苏大学机械工程学院,江苏镇江212013 [2]江苏威泽智能科技股份有限公司,江苏常州213333 [3]南京师范大学教育信息工程研究所,江苏南京210023

出　　处：《硬质合金》2023年第5期354-361,共8页Cemented Carbides

基　　金：溧阳市科技计划(培育创新项目)(LA2021008)。

摘　　要：基于渐开线的成型原理,提出了可转位齿轮滚刀渐开线基圆半径求解的数学模型,以便在某些无法得知齿轮模数、分度圆半径等参数的情况下,仅根据刀具上渐开线的CAD模型来确定渐开线对应的基圆半径;分析了可转位刀具周边刃磨床的磨削机理,建立可转位齿轮滚刀磨削的数学模型,得到可转位刀具周边刃磨床X轴和B轴的联动点位,并在周边刃磨床上使用金刚石平行砂轮进行渐开线曲面磨削试验。使用超景深显微镜和图像尺寸测量仪对刀具表面形貌与尺寸误差进行分析。试验结果验证了可转位齿轮滚刀磨削数学模型的准确性,并为其他齿轮滚刀数学模型的建立提供一定的理论参考。Based on the forming principle of the involute,a mathematical model for solving the radius of the involute base circle of the indexable gear hob was proposed so that in some cases where the parameters such as the gear modulus and the radius of the pitch circle cannot be known,the radius of the involute base circle can be determined only according to the CAD model of the involute on the tool.The grinding mechanism of the peripheral edge grinder of the indexable tool was analyzed,and the mathematical model of indexable gear hob grinding was established.Therefore,the linkage point of the Xaxis and the B-axis of the peripheral edge grinder of the indexable tool was obtained,and then the involute surface grinding test was carried out with a parallel diamond grinding wheel on the peripheral edge grinder.Ultra-depth-of-field microscope and image size measuring instrument were used to analyze the surface topography and dimensional error of the tool.The test results verify the accuracy of the mathematical model of the indexable gear hob grinding and provide a theoretical reference for the establishment of other gear hob mathematical models.

关 键 词：周边刃磨床 可转位刀具 齿轮滚刀 数学模型 

分 类 号：TG616[金属学及工艺—金属切削加工及机床]