双圆弧谐波刚轮刮齿加工原理及刀具设计  

Machining Principle and Cutter Design of Double-arc Harmonic Rigid Gear Skiving

作　　者：莫帅 王赛赛 罗炳睿 岑国建 MO Shuai;WANG Saisai;LUO Bingrui;CEN Guojian(School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;Tianjin Modern Electromechanical Equipment Technology Key Laboratory,Tianjin 300387,China;Ningbo Zhongda Leader Intelligent Transmission Technology Industry Co.,Ltd.,Ningbo 315301,China;Jiangsu Wanji Transmission Technology Co.,Ltd.,Taizhou 225400,China)

机构地区：[1]天津工业大学机械工程学院,天津300387 [2]天津市现代机电装备技术重点实验室,天津300387 [3]宁波中大力德智能传动股份有限公司,浙江宁波315301 [4]江苏万基传动科技有限公司,江苏泰州225400

出　　处：《湖南大学学报（自然科学版）》2022年第8期101-108,共8页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51805368);中国科协青年人才托举工程项目(2018QNRC001);江苏省泰州市双创人才计划项目。

摘　　要：为提高谐波齿轮的加工精度和效率,提出一种适应双圆弧谐波刚轮的刮齿加工原理和刀具设计方法.根据包络理论求解谐波刚轮共轭齿廓,并采用最小二乘法拟合;通过构建刮齿加工坐标系和前刀面坐标系求解刮齿刀具共轭面和前刀面模型,并用NURBS曲面拟合;根据牛顿迭代法求解前刀面与共轭面交点获取切削刃数据,导入CAD软件建立刮齿刀具数学模型.在此基础上,分析不同前角和后角对刮齿刀具齿廓误差的影响,结果表明:由于前角和后角,刮齿刀具切削刃实际齿廓和理论齿廓产生一定偏差,该齿廓偏差从齿顶到齿根逐渐增大,并随着前角和后角的增大而增大.In order to improve the machining accuracy and efficiency of harmonic gear,this paper proposes a skiving machining and the tool design method for double-arc harmonic rigid wheels.Based on the envelop theory,the conjugate tooth profile of the harmonic rigid wheels is solved,and the least squares method is used to fit it.The conju⁃gate surface and rake surface are solved by constructing the skiving machining coordinate system and rake face coor⁃dinate system,and NURBS surface is used to fit.The rake and conjugate surface are intersected by Newton interative method to obtain the cutting edge data,and the mathematical model of skiving tool is established by importing the data to CAD software.On this basis,the influence of different rake edge angles and back edge angles on tool profileerror is analyzed.The results show that the skiving tool has a certain deviation between the actual tooth profile and the theoretical tooth profile due to the rake edge angle and back edge angle,and this deviation increases gradually from the tooth tip to the tooth root with the increase of rake angle and back angle.

关 键 词：齿轮加工 齿轮刀具 谐波传动 刮齿工艺 三次B样条曲面 

分 类 号：TG721[金属学及工艺—刀具与模具]