内齿轮剐齿刀具设计及齿形优化  

Tool design and profile optimization of internal gear skiving

作　　者：莫帅 王赛赛 刘志鹏 岑国建 MO Shuai;WANG Saisai;LIU Zhipeng;CEN Guojian(School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology,Tianjin 300387,China;School of Mechanical Engineering,Guangxi University,Nanning 530004,China;State Key Laboratory of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China;Jiangsu Wanji Transmission Technology Co.Ltd.,Taizhou 225400,Jiangsu China;Ningbo Zhongda Leader Transmission Equipment Co.Ltd.,Ningbo 310020,Zhejiang 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]广西大学机械工程学院,广西南宁530004 [4]华中科技大学数字制造装备与技术国家重点实验室,湖北武汉430074 [5]江苏万基传动科技有限公司,江苏泰州225400 [6]宁波中大力德智能传动股份有限公司,浙江宁波310020

出　　处：《华中科技大学学报（自然科学版）》2023年第2期146-152,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(52265004);中国科协青年人才托举工程(2018QNRC001);华中科技大学数字制造装备与技术国家重点实验室开放基金(DMETKF2021017);直升机传动技术国防科技重点实验室开放课题(HTL-0-21G07);江苏省泰州市双创人才计划项目。

摘　　要：为突破内齿轮加工受限于插齿等工艺,实现内齿轮的高精高效加工,提出内齿轮剐齿刀具设计及修形优化方法.根据渐开线齿面展成原理求解内齿轮齿面方程;建立剐齿刀具前刀面坐标系和加工运动坐标系,根据啮合原理求解剐齿刀具前刀面和共轭面模型,并用双三次NURBS曲面拟合;利用牛顿迭代法求解共轭面与前刀面交点并拟合获取切削刃数据,导入CAD软件建立剐齿刀具三维模型.分析剐齿刀具齿廓误差来源并利用抛物线齿条对剐齿刀具两侧齿廓分别进行修正,结果表明:剐齿刀具两侧齿廓误差从齿顶到齿根逐渐增大,根据齿条法修形后的刀具齿廓误差明显降低.In order to break through the process of internal gear processing limited by gear shaping and other processes,and achieve high-precision and high-efficiency machining of internal gear,a design and modification optimization method for internal gear skiving cutter was proposed.According to the principle of involute tooth surface generation,the tooth surface equation of internal gear was solved. The coordinate system of cutting tool rake face and machining motion coordinate system were established. The models of cutting tool rake face and conjugate face were solved according to the meshing principle,and fitted with NURBS surface.The intersection of conjugate surface and rake surface was solved by Newton iterative method,and the cutting edge data was obtained by fitting. The three-dimensional model of skiving cutter was established by importing the data to CAD software. The source of tooth profile error of cutting tool was analyzed,and the tooth profiles on both sides of the skiving cutter were corrected by parabola rack.The results show that the tooth profile error on both sides of the skiving cutter increases gradually from the tooth top to the tooth root,and the tooth profile error of the tool modified according to the rack method decreases obviously.

关 键 词：内齿轮 剐齿刀具 剐齿加工 NURBS曲面 齿廓修形 

分 类 号：TG721[金属学及工艺—刀具与模具]