利用齿面接触印痕逆向确定曲线圆弧齿轮的加工刀盘半径  

Reverse Determination of Face-milling Cutter Radius of Curvilinear Cylindrical Gears Using Contact Pattern

作　　者：张学刚 董英杰 Zhang Xuegang;Dong Yingjie(School of Intelligent Manufacturing,Panzhihua University,Panzhihua 617000,China;Panzhihua Hangyou New Material Technology Co.,Ltd.,Panzhihua 617000,China)

机构地区：[1]攀枝花学院智能制造学院,四川攀枝花617000 [2]攀枝花航友新材料科技有限公司,四川攀枝花617000

出　　处：《机械传动》2024年第9期139-144,共6页Journal of Mechanical Transmission

基　　金：攀枝花市省级定向财力转移支付科技项目(222Y2F-GG-04);四川省自然科学基金面上项目(2024NSFSC0140);过程装备与控制工程四川省高校重点实验室(GK202211);四川省钒钛材料工程技术研究中心(2021-FTGC-Z-06);攀枝花市先进制造技术重点实验室(2022XJZD05)。

摘　　要：为了设计出任意齿面接触印痕的曲线圆柱齿轮副,提出了一种根据所需齿面接触印痕尺寸逆向确定加工曲线圆柱齿轮的盘形铣刀半径的方法。首先,介绍了曲线圆柱齿轮副的齿面数学模型;其次,建立了齿面接触印痕计算的数学模型;然后,以4种不同半径的双刃铣刀所加工的曲线圆柱齿轮为例,研究了盘形铣刀半径与齿面接触印痕之间的关系图谱;最后,利用插值法实现盘形铣刀半径的选择。该法可以跳过齿轮的试加工环节,降低了齿轮制造成本,为固定面铣式曲线圆柱齿轮的设计与制造奠定了基础。To design a curvilinear cylindrical gear with arbitrary tooth surface contact pattern,a method for determining the radius of a disc-shaped milling cutter for machining the curvilinear cylindrical gear was proposed based on the reverse determination of the required dimensions of the contact pattern.Firstly,the mathematical model of the tooth surface of the curvilinear cylindrical gear was introduced.Secondly,a mathematical model for calculating the contact patterns was established.Then,taking four curvilinear cylindrical gears machined by double-edged milling cutters with different radii as examples,the relation graph between the radius of the disc-shaped milling cutter and the contact patterns was studied.Finally,the radius selection of the disc-shaped milling cutter was achieved through interpolation.This method can skip the gear trial processing,reduce the manufacturing cost of gears,and lay the foundation for the design and manufacturing of fixed-setting face-milling curvilinear cylindrical gears.

关 键 词：曲线圆柱齿轮 盘形面铣刀 接触印痕 数学模型 

分 类 号：TH132.41[机械工程—机械制造及自动化]