双圆弧谐波减速器刚轮插刀有效长度分析与优化  

Analysis and optimization of the effective length of the slotting cutter forcircular spline in double-circular-arc harmonic drive

作　　者：王仕璞 宋朝省[1] 黎新子 孙建铨 朱才朝[1] WANG Shipu;SONG Chaosheng;LI Xinzi;SUN Jianquan;ZHU Caichao(State Key Laboratory of Mechanical Transmissions,Chongqing University,Chongqing 400044,P.R.China;Zhengzhou Research Institute of Mechanical Engineering Co.Ltd.,Zhengzhou 450052,P.R.China;Shenzhen Institute of Advanced Technology,Chinese Academy of Sciences,Shenzhen,Guangdong 518055,P.R.China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]郑州机械研究所有限公司,郑州450052 [3]中国科学院深圳先进技术研究院,广东深圳518055

出　　处：《重庆大学学报》2023年第3期32-44,共13页Journal of Chongqing University

基　　金：广东省重点领域研发计划资助项目(2019B090917002)。

摘　　要：为预估和延长双圆弧谐波减速器刚轮插齿刀有效长度,论文建立了双圆弧刚轮齿廓数学模型,根据运动学法,建立了插刀加工数学仿真模型;根据齿廓法线法,建立了砂轮磨削加工数学模型,推导了刃磨后插刀的等效齿形与加工误差,确定了插刀的有效长度。在此基础上,论文通过优化砂轮齿形与插刀齿数,延长了插刀有效长度。结果表明:优化前55齿插刀有效长度为2.1 mm, 0截面插刀加工出刚轮齿形误差为2μm;优化后0截面插刀加工出刚轮齿形误差的最大值为0.14μm。优化后插刀齿数越多,插刀有效长度越长;优化后42齿、55齿、68插刀有效长度分别增加了4.8%、52%、81%。In order to predict and prolong the effective length of the slotting cutter of the double-circular-arc harmonic circular spline,several models are established:1)the mathematical model of the circular spline tooth profile;2)the mathematical simulation model of slotting the circular spline by the kinematic method;3)the mathematical simulation model of grinding the slotting cutter by the tooth profile normal method,to obtain the equivalent tooth profile and the machining error and predict the effective length of the slotting cutter.Based on these models,the effective length of the slotting cutter is prolonged by optimizing the tooth profile of the grinding wheel and the tooth number of the slotting cutter.The results show that before optimization,the effective length of the slotting cutter with 55 teeth is 2.1 mm and the tooth profile error of the circular spline slotted by the 0-cross section slotting cutter is 2μm.After optimizing the tooth profile of the grinding wheel,the maximum of the tooth profile error of the circular spline slotted by the 0-cross section slotting cutter is 0.14μm.The effective length of the slotting cutter increases as the number of slotting cutter tooth increases 4.8%for 42 teeth,52%for 55 teeth,and 81%for 68 teeth.

关 键 词：双圆弧谐波减速器 刚轮 磨削 插刀 砂轮 有效长度 

分 类 号：TH132.43[机械工程—机械制造及自动化]