ZA型蜗轮的精确建模与修形  

Accurate Modeling and Modification of ZA Worm Gear

作　　者：吴海兵[1] 王昆 许兆美[1] 陈前亮[1] WU Hai-bing;WANG Kun;XU Zhao-mei;CHEN Qian-liang(Key Laboratory of Digital Manufacturing Technology,Huaiyin Institute ofTechnology,Jiangsu Huai’an223003,China;Jiangsu Province Jinxiang Transmission Equipment Co.,Ltd,Jiangsu Huai’an223001,China)

机构地区：[1]淮阴工学院先进制造技术实验室,江苏淮安223003 [2]江苏省金象传动设备股份有限公司,江苏淮安223001

出　　处：《机械设计与制造》2020年第3期151-154,共4页Machinery Design & Manufacture

基　　金：江苏省产学研前瞻性联合研究项目(BY2015051-08);江苏省产学研前瞻性联合研究项目(BY2016061-15);淮安市产学研协同创新研究项目(HAC201603)。

摘　　要：研究了ZA型蜗轮的建模与修形技术,为蜗轮五轴数控加工编程提供精确的三维模型。建立车刀、蜗杆、蜗轮的坐标系,在此基础上得出车刀坐标系到蜗杆坐标系、蜗杆坐标系到蜗轮坐标系的转换公式;推导得出车刀刃口方程,根据车刀坐标系到蜗杆坐标系转换公式可得出蜗杆齿面方程;根据齿轮啮合原理,推导得出蜗杆蜗轮啮合方程;将蜗杆齿面方程、蜗杆蜗轮啮合方程、蜗杆坐标系到蜗轮坐标系的转换公式联立即为蜗轮齿面方程;根据蜗轮副啮合区的要求,对蜗轮齿面方程计算出来的齿面点集进行法向向内偏移,使得蜗轮齿面修鼓。最终的啮合区图表明:修形蜗轮与标准蜗杆的啮合性能符合使用要求。The modeling and modification technology of ZA worm gear is studied in this paper in order to provide accurate three-dimensional model for five-axis NC machining programming. The transformation formulas of turning tool coordinate system to worm coordinate system and worm coordinate system to worm gear coordinate system are obtained based on establishment of coordinate systems of turning tool,worm and worm gear. The equation of cutting edge of turning tool is derived from the equation of worm surface according to the relation of coordinate transformation. According to the principle of gear engagement,the meshing equation of worm and worm gear is deduced. The worm gear surface equation,the meshing equation of worm gear pair and the transformation formula from worm coordinate system to worm gear coordinate system are combined into the worm gear surface equation. According to the requirements of the meshing zone of worm gear pair,the points of worm gear surface are deviated in normal direction so that the worm gear surface is formed into a drum shape. The final meshing zone map indicates that the meshing performance of the modified worm gear and the standard worm is in accordance with the requirements of use.

关 键 词：ZA蜗轮 建模 修形 啮合区 

分 类 号：TH16[机械工程—机械制造及自动化] TQ170.5[化学工程—硅酸盐工业]