平面刀具加工面齿轮的理论分析

彭先龙; 张乐; 郭卫

doi:10.13224/j.cnki.jasp.2017.04.030

平面刀具加工面齿轮的理论分析

doi: 10.13224/j.cnki.jasp.2017.04.030

西安科技大学机械工程学院，西安 710054

基金项目: 国家自然科学基金（51605378）；中国博士后基金（2016M592814）；陕西省自然科学研究计划（2015JQ5159）；西安科技大学博士启动基金（2015QDJ026）

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出版历程
- 收稿日期: 2015-06-14
- 刊出日期: 2017-04-28

Theoretical analysis for manufacturing face gear by plane cutter

摘要

摘要: 采用平面刀具加工面齿轮可提高刀具的通用性和降低设计制造成本.首先在对格林森方法仿真的基础上指出仅用高阶滚比是不能获得理想齿面的.然后提出了附加运动，通过这个附加运动与高阶滚比刀具在运动中可以实现虚拟渐开线的精确模拟.其三提出了确定高阶滚比、附加运动多项式系数的方法.其四建立了平面刀具的产形面和平面刀具加工的面齿轮的数学模型.最后进行了滚比与运动规律、轮齿接触分析等数值仿真，结果表明：算例中的最大齿面误差为-1.05mm，接触路径倾斜，接触椭圆长度为11.2mm，传动误差约为0″，被加工面齿轮与标准小轮的啮合表现出良好的“准共轭”特性.因此这种可粗切，亦可精磨的加工方法具备良好的可行性与实用性.
- 面齿轮 /
- 平面刀具 /
- 加工 /
- 高阶滚比 /
- 附加运动 /
- 齿面误差 /
- 轮齿接触分析
Abstract: The application of the plane cutter in face gear manufacturing is able to improve the generality and decrease the design and manufacturing cost of the cutter. Firstly, based on the simulation of the Gleason Works'method, it pointed out that the ideal tooth surface cannot be obtained by only the application of higher order roll ratio. Then an additional motion was proposed: through the additional motion and higher order roll ratio, the exact simulation of suppositional involute can be realized in the cutters motion. Thirdly, the method for determining the polynomial coefficients of the higher order roll ratio and additional motion was proposed. Fourthly the equations of the generating plane of the plane cutter and the tooth surface of the face gear were derived. Finally, the numerical simulation of the roll ratio, motion rule, tooth contact analysis were performed. The results show that: in the numerical example, the maximum tooth surface error is -1.05 mm, the contact path is tilted, the maximum length of contact ellipse is 11.2 mm, transmission errors is about 0″, the meshing between the generated face gear and the standard pinion demonstrates good features of ‘quasi conjugate’. Hence the manufacturing method for rough cutting, and finish grinding has perfect feasibility and practicability.
- face gear /
- plane cutter /
- manufacturing /
- higher order roll ratio /
- additional motion /
- tooth surface errors /
- tooth contact analysis

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